Selasa, 28 Mei 2013

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The Princeton Companion to MathematicsFrom Princeton University Press

This is a one-of-a-kind reference for anyone with a serious interest in mathematics. Edited by Timothy Gowers, a recipient of the Fields Medal, it presents nearly two hundred entries, written especially for this book by some of the world's leading mathematicians, that introduce basic mathematical tools and vocabulary; trace the development of modern mathematics; explain essential terms and concepts; examine core ideas in major areas of mathematics; describe the achievements of scores of famous mathematicians; explore the impact of mathematics on other disciplines such as biology, finance, and music--and much, much more.

Unparalleled in its depth of coverage, The Princeton Companion to Mathematics surveys the most active and exciting branches of pure mathematics, providing the context and broad perspective that are vital at a time of increasing specialization in the field. Packed with information and presented in an accessible style, this is an indispensable resource for undergraduate and graduate students in mathematics as well as for researchers and scholars seeking to understand areas outside their specialties.

  • Features nearly 200 entries, organized thematically and written by an international team of distinguished contributors
  • Presents major ideas and branches of pure mathematics in a clear, accessible style
  • Defines and explains important mathematical concepts, methods, theorems, and open problems
  • Introduces the language of mathematics and the goals of mathematical research
  • Covers number theory, algebra, analysis, geometry, logic, probability, and more
  • Traces the history and development of modern mathematics
  • Profiles more than ninety-five mathematicians who influenced those working today
  • Explores the influence of mathematics on other disciplines
  • Includes bibliographies, cross-references, and a comprehensive index

Contributors incude:

Graham Allan, Noga Alon, George Andrews, Tom Archibald, Sir Michael Atiyah, David Aubin, Joan Bagaria, Keith Ball, June Barrow-Green, Alan Beardon, David D. Ben-Zvi, Vitaly Bergelson, Nicholas Bingham, Béla Bollobás, Henk Bos, Bodil Branner, Martin R. Bridson, John P. Burgess, Kevin Buzzard, Peter J. Cameron, Jean-Luc Chabert, Eugenia Cheng, Clifford C. Cocks, Alain Connes, Leo Corry, Wolfgang Coy, Tony Crilly, Serafina Cuomo, Mihalis Dafermos, Partha Dasgupta, Ingrid Daubechies, Joseph W. Dauben, John W. Dawson Jr., Francois de Gandt, Persi Diaconis, Jordan S. Ellenberg, Lawrence C. Evans, Florence Fasanelli, Anita Burdman Feferman, Solomon Feferman, Charles Fefferman, Della Fenster, José Ferreirós, David Fisher, Terry Gannon, A. Gardiner, Charles C. Gillispie, Oded Goldreich, Catherine Goldstein, Fernando Q. Gouvêa, Timothy Gowers, Andrew Granville, Ivor Grattan-Guinness, Jeremy Gray, Ben Green, Ian Grojnowski, Niccolò Guicciardini, Michael Harris, Ulf Hashagen, Nigel Higson, Andrew Hodges, F. E. A. Johnson, Mark Joshi, Kiran S. Kedlaya, Frank Kelly, Sergiu Klainerman, Jon Kleinberg, Israel Kleiner, Jacek Klinowski, Eberhard Knobloch, János Kollár, T. W. Körner, Michael Krivelevich, Peter D. Lax, Imre Leader, Jean-François Le Gall, W. B. R. Lickorish, Martin W. Liebeck, Jesper Lützen, Des MacHale, Alan L. Mackay, Shahn Majid, Lech Maligranda, David Marker, Jean Mawhin, Barry Mazur, Dusa McDuff, Colin McLarty, Bojan Mohar, Peter M. Neumann, Catherine Nolan, James Norris, Brian Osserman, Richard S. Palais, Marco Panza, Karen Hunger Parshall, Gabriel P. Paternain, Jeanne Peiffer, Carl Pomerance, Helmut Pulte, Bruce Reed, Michael C. Reed, Adrian Rice, Eleanor Robson, Igor Rodnianski, John Roe, Mark Ronan, Edward Sandifer, Tilman Sauer, Norbert Schappacher, Andrzej Schinzel, Erhard Scholz, Reinhard Siegmund-Schultze, Gordon Slade, David J. Spiegelhalter, Jacqueline Stedall, Arild Stubhaug, Madhu Sudan, Terence Tao, Jamie Tappenden, C. H. Taubes, Rüdiger Thiele, Burt Totaro, Lloyd N. Trefethen, Dirk van Dalen, Richard Weber, Dominic Welsh, Avi Wigderson, Herbert Wilf, David Wilkins, B. Yandell, Eric Zaslow, Doron Zeilberger

  • Sales Rank: #49939 in Books
  • Published on: 2008-09-28
  • Original language: English
  • Number of items: 1
  • Dimensions: 2.50" h x 8.10" w x 10.00" l, 5.70 pounds
  • Binding: Hardcover
  • 1034 pages

Review
Winner of the 2011 Euler Book Prize, Mathematical Association of America

Honorable Mention for the 2008 PROSE Award for Single Volume Reference/Science, Association of American Publishers

One of Choice's Outstanding Academic Titles for 2009

"The Princeton Companion to Mathematics makes a heroic attempt to keep [abstract concepts] to a minimum . . . and conveys the breadth, depth and diversity of mathematics. It is impressive and well written and it's good value for [the] money."--Ian Stewart, The Times

"This is a panoramic view of modern mathematics. It is tough going in some places, but much of it is surprisingly accessible. A must for budding number-crunchers."--The Economist (Best Books of 2008)

"Although the editors' original goal of text that could be understood by anyone with a good background in high school mathematics provided short-lived, this wide-ranging account should reward undergraduate and graduate students and anyone curious about math as well as help research mathematicians understand the work of their colleagues in other specialties. The editors note some advantages a carefully organized printed reference may enjoy over a collection of Web pages, and this impressive volume supports their claim."--Science

"This impressive book represents an extremely ambitious and, I might add, highly successful attempt by Timothy Gowers and his coeditors, June Barrow-Green and Imre Leader, to give a current account of the subject of mathematics. It has something for nearly everyone, from beginning students of mathematics who would like to get some sense of what the subject is all about, all the way to professional mathematicians who would like to get a better idea of what their colleagues are doing. . . . If I had to choose just one book in the world to give an interested reader some idea of the scope, goals and achievements of modern mathematics, without a doubt this would be the one. So try it. I guarantee you'll like it!"--American Scientist

"Accessible, technically precise and thorough account of all math's major aspects. Students of math will find this book a helpful reference for understanding their classes; students of everything else will find helpful guides to understanding how math describes it all."--Tom Siegfried, Science News

"Once in a while a book comes along that should be on every mathematician's bookshelf. This is such a book. Described as a 'companion', this 1000-page tome is an authoritative and informative reference work that is also highly pleasurable to dip into. Much of it can be read with benefit by undergraduate mathematicians, while there is a great deal to engage professional mathematicians of all persuasions."--Robin Wilson, London Mathematical Society

"Imagine taking an overview of elementary and advanced mathematics, a history of mathematics and mathematicians, and a mathematical encyclopedia and combining them all into one comprehensive reference book. That is what Timothy Gowers, the 1998 Fields Medal laureate, has successfully accomplished in compiling and editing The Princeton Companion to Mathematics. At more than 1,000 pages and with nearly 200 entries written by some of the leading mathematicians of our time and specialists in their fields, this book is a one-of-a-kind reference for all things mathematics."--Mathematics Teacher

"Overall [The Princeton Companion to Mathematics] is an enormous achievement for which the authors deserve to be thanked. It contains a wealth of material, much of a kind one would not find elsewhere, and can be enjoyed by readers with man different backgrounds."--Simon Donaldson, Notices of the American Mathematical Society

"This is an enormously ambitious book, full of beautiful things; I would wish to keep it on my bedside table, but that could only be possible relays, since of course it is far too large. . . . To sum up, [The Princeton Companion to Mathematics] is really excellent. I know of no book that will give a young student a better idea of what mathematics is about. I am certain that this is the only single book that is likely to tell me what my colleagues are doing."--Bryan Birch, Notices of the American Mathematical Society

"The book is so rich and yet it is well done. A rare achievement indeed!"--Gil Kalai, Notices of the American Mathematical Society

"My advice to you, reader is to buy the book, open it to a random page, read, enjoy, and be enlightened."--Richard Kenyon, Notices of the American Mathematical Society

"Massive . . . endlessly fascinating."--Gregory McNamee, Bloomsbury Review

"This volume is an enormous, far-reaching effort to survey the current landscape of (pure) mathematics. Chief editor Gowers and associate editors Barrow-Green and Leader have enlisted scores of leading mathematicians worldwide to produce a gorgeous volume of longer essays and short, specific articles that convey some of the dense fabric of ideas and techniques of modern mathematics. . . . This volume should be on the shelf of every university and public library, and of every mathematician--professional and amateur alike."--S.J. Colley, Choice

"The Princeton Companion to Mathematics is a friendly, informative reference book that attempts to explain what mathematics is about and what mathematicians do. Over 200 entries by a panel of experts span such topics as: the origins of modern mathematics; mathematical concepts; branches of mathematics; mathematicians that contributed to the present state of the discipline; theorems and problems; the influences of mathematics and some perspectives. Its presentations are selective, satisfying, and complete within themselves but not overbearingly comprehensive. Any reader from a curious high school student to an experienced mathematician seeking information on a particular mathematical subject outside his or her field will find this book useful. The writing is clear and the examples and illustrations beneficial."--Frank Swetz, Convergence

"Every research mathematician, every university student of mathematics, and every serious amateur of mathematical science should own a least one copy of The Companion. Indeed, the sheer weight of the volume suggests that it is advisable to own two: one for work and one at home. . . . Even an academic sourpuss should be pleased with the attention to detail of The Companion's publishers, editors, and authors and with many judicious decisions about the level of exposition, level of detail, what to include and what to omit, and much more--which have led to a well-integrated and highly readable volume."--Jonathan M. Borwein, SIAM Review

"Edited by Gowers, a recipient of the Fields Medal, this volume contains almost 200 entries, commissioned especially for this book from the world's leading mathematicians. It introduces basic mathematical tools and vocabulary, traces the development of modern mathematics, defines essential terms and concepts, and puts them in context. . . . Packed with information presented in an accessible style, this is an indispensable resource for undergraduate and graduate students in mathematics as well as for researchers and scholars seeking to understand areas outside their specialties."--Library Journal

"The book I'm talking about is The Princeton Companion to Mathematics. If you are in an absolute rush, the short version of my post today is, buy this book. You don't have to click on the link with my referral if you don't want to, seriously just pick up a copy of this book, I can guarantee you that it will be love at first sight. . . . The Princeton Companion to Mathematics is not only a beautiful book from an aesthetic standpoint, with its heavy, high quality pages and sturdy binding, but above all it's a monumental piece of work. I have never seen a book like this before. . . . [T]he bible of mathematics. . . . I believe this is the kind of book that will still be in use a hundred years from now."--Antonio Cangiano, Math-Blog.com

"I'm completely charmed. This is one of those books that makes you wish you had a desert island to be marooned on."--Brian Hayes, bit-player.org

"This has been a long time coming, but the wait was worth it! After many years of slogging through textbooks that presented too many proofs and demonstrations that were left to the student or lacking numerous intermediate steps, after encountering numerous 'introductions' that were obtuse and highly theoretical and after digesting far too many explanations with maximal equations and minimal verbiage, we arrive at the happy medium. This book is a companion in every sense of the word and a very friendly one at that. . . . For a comprehensive overview of many areas of mathematics in a readable format, there has never been anything quite like this. I would urge a trip to the local library to have a look."--John A. Wass, Scientific Computing

"This book is supremely accessible. Many in the sugar industry with a fairly good grasp of mathematics will probably not struggle with it, and will invariably marvel at its richness and diversity. [A] great companion."--International Sugar Journal

"The book contains some valuable surveys of the main branches of mathematics that are written in an accessible style. Hence, it is recommended both to students of mathematics and researchers seeking to understand areas outside their specialties."--European Mathematical Society Newsletter

From the Back Cover

"This is a wonderful book. The content is overwhelming. Every practicing mathematician, everyone who uses mathematics, and everyone who is interested in mathematics must have a copy of their own."--Simon A. Levin, Princeton University

"The Princeton Companion to Mathematics fills a vital need. It is the only book of its kind."--Victor J. Katz, professor emeritus, University of the District of Columbia

"I think that this is a wonderful book, completely different from anything that has been written before about mathematics and mathematicians."--Endre Süli, University of Oxford

"The Princeton Companion to Mathematics is a much needed--and will become a much used--reference work. In fact, it will stand alone as the reference work in mathematics."--John J. Watkins, Colorado College

About the Author
Timothy Gowers is Rouse Ball Professor of Mathematics at Cambridge University and was a recipient of the Fields Medal for Mathematics, awarded for 'the most daring, profound and stimulating research done by young mathhematicians'.

Most helpful customer reviews

236 of 241 people found the following review helpful.
A major event in mathematical publishing
By Timothy Chow
The Princeton Companion to Mathematics is such an extraordinary book that I am still amazed that the chief editor, Timothy Gowers, managed to pull it off. The renowned mathematician Doron Zeilberger announced that if he could take only one book with him to a desert island, it would be the Princeton Companion to Mathematics.

Why such high praise? Simply put, the PCM gives a single-volume overview of all of pure mathematics, with a clarity and coherence that cannot be found anywhere else. To be sure, there do exist several good books on the history of mathematics that give a good overview of elementary mathematics and introduce the reader to some of the great mathematicians of the past. There also exist excellent "popular science" books by writers such as Martin Gardner and Ian Stewart, that explain selected topics in advanced mathematics to the lay reader in an engaging and clear manner. And there are also encyclopedias (including Wikipedia) that delineate the main branches of mathematics and give succinct definitions of all the main concepts. But only the PCM does all of these things at once, in only a thousand pages.

The PCM is all things to all people. If your mathematical background is limited, you can still learn a great deal from the more elementary sections of the book, as well as from the biographical sketches of nearly a hundred famous mathematicians of the past. At the other end of the scale, even professional mathematicians will learn something from the articles on branches of mathematics other than their own specialty. Gowers made a systematic effort to find contributors who are not only world experts in their subject, but who write extremely well. He also forced the contributors to write in as accessible and elementary a manner as possible. The result is that even highly abstruse areas of mathematics are explained here with a clarity that is difficult to find anywhere else in the mathematical literature. The PCM is thus especially valuable to mathematics majors and graduate students.

Despite the ambitious scope of the book, it retains a strong sense of unity and coherence, by consistently emphasizing the forest rather than the trees. It also gives the reader a holistic view of mathematics by devoting different sections of the book to different perspectives on the subject. For example, one section organizes mathematics by sub-discipline, while another section highlights the main results and open problems of mathematics, while yet another section picks out the most important concepts. By putting all these aspects together in one volume, the PCM gives the reader a bird's-eye view of the whole subject that is not available from Wikipedia or from a shelf full of popular books on disparate topics.

The PCM is so well-written that it can be read either cover-to-cover, or browsed at random, or consulted as a reference when needed.

One word of warning: As Gowers himself notes, the book would be more accurately titled, "The Princeton Companion to Pure Mathematics." While applications of mathematics to other fields are touched on briefly, Gowers consciously limited the book primarily to pure mathematics, in order to keep the scope of the book manageable.

Should you still have doubts about the book, you can browse parts of the book for free: Selections from the book may be found at the book's official website, and many of the contributing mathematicians have posted their own sections on their own websites (you can find these easily using Google). And for more reviews of the book, see Gowers's blog.

63 of 64 people found the following review helpful.
A physicist's perspective
By J. Koelman
Got my copy a week ago. What an exceptional book! Any of the random samples I read so far provides a informative, yet pleasant read. Gowers (Rouse Ball Professor of Mathematics in Cambridge) did a fantastic job in editing the many articles into a coherent and surprisingly accessible overview of modern mathematics. From inception to publication of this book took Gowers and his associate editors some 6 years. The amount of editorial attention given to this publication clearly shows and translated into a book that is - unlike any other math book I know of - easy to read and of high quality.

This book provides lots of material that is of interest to non-mathematicians. As is mentioned in one of the other reviews here, this heavy volume does not contain a separate chapter on mathematical physics, yet as a physicist I found lots of material directly relevant to physics. There is a very interesting chapter on the general theory of relativity, and lots of material on quantum mechanics. Also fundamental concepts highly relevant in physics such as spherical harmonics, dynamical systems, deterministic chaotic behavior, phase transitions, Lie groups, etc. are covered in inviting shorter sections. Each of the subjects is introduced in such a way that the reader first gains an intuitive understanding of the concept, that subsequently gets deepened via a more rigorous approach.

If only there was a similar 'companion' to modern physics! (The book of Oxford's Emeritus Rouse Ball professor Roger Penrose, The Road to Reality: A Complete Guide to the Laws of the Universe comes close, but falls short of being truly PCM's equivalent in physics.)

If you're interested in math, don't hesitate and buy this book. (And be quick: I bought it here at Amazon for just over US$71. In the meantime, the price has increased already by more than US$5... ;-)

97 of 104 people found the following review helpful.
mathematics: a not-so-short introduction
By Nim Sudo
Take Gowers's delightful little book, "Mathematics: a very short introduction", make it about twenty times as long, bring in a host of excellent contributors to write specialized articles, put the whole thing together very nicely, and you have the present book.

This book is not an encyclopedia, but it does offer a sweeping panorama of mathematics, written at an accessible level. It includes introductory articles on what mathematics is and basic concepts, more advanced (but still accessible) articles introducing various key concepts and areas of mathematics, articles on history of mathematics and biographies of mathematicians, descriptions of key theorems and problems, essays on the applications of mathematics, and more. There is something in here for everyone with an interest in mathematics.

As a professional mathematician, I am familiar with most of the introductory material, but I still like seeing it so nicely expressed and might use it as a teaching resource. Among the more advanced articles, there is lots of material which I feel like I "should" know, but actually don't.

The editors did an amazing job of finding really top-level people to write the specialized articles, who are both renowned experts in their areas and excellent expositors. The quality of the writing is infinitely superior to most articles in wikipedia or other online math encylopedias.

As I said, this not a comprehensive reference. The articles are introductory and designed for "bedtime reading". (Although if you read this book in bed you will probably have to sit up and put it on your lap because it is as big as a phone book.)

Anyway, I was very pleasantly surprised when I received this book. I expect to spend lots of time in the next few months browsing through it to brush up on my basic mathematical literacy. I think it will be even more useful for undergraduate mathematics students who want a good overview of what mathematics is about.

UPDATE: There is a useful page of errata, and discussion thereof, on Gowers's weblog.

See all 76 customer reviews...

The Princeton Companion to MathematicsFrom Princeton University Press PDF
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The Princeton Companion to MathematicsFrom Princeton University Press PDF

The Princeton Companion to MathematicsFrom Princeton University Press PDF
The Princeton Companion to MathematicsFrom Princeton University Press PDF

Minggu, 26 Mei 2013

[J863.Ebook] Ebook The Collected Works of Phoebe Palmer: Six Books in One, by Phoebe Palmer

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The Collected Works of Phoebe Palmer: Six Books in One, by Phoebe Palmer

This volume contains six complete books from the late holiness powerhouse Phoebe Palmer. Included in this collection are the following books:

Incidental Illustrations of the Economy of Salvation; Its Doctrines and Duties,
Entire Devotion to God,
The Way of Holiness, with Notes by the Way,
Faith and Its Effects,
The Promise of the Father, and
Four Years in the Old World.

In addition, there is a thorough Table of Contents, plus links on the front page to each book. Read them in order, or take control. It's up to you!

About the author:

Phoebe Palmer (1807-1874) is often referred to as the mother of the holiness movement. She ministered all over the world. She came from a deep Christian heritage, and her parents received fellowship in the Methodist church from John Wesley himself. No doubt, this had an impact on her spiritual life, despite many sufferings that she had to endure, to include the loss of three children.

She spent the greater majority of her life in the United States and Canada, and was instrumental in the Third Great Awakening in 1857.

She authored many books, including 'Incidental Illustrations of the Economy of Salvation; Its Doctrines and Duties,' 'Entire Devotion to God,' 'The Way of Holiness, with Notes by the Way,' 'Faith and Its Effects,' 'The Promise of the Father,' and 'Four Years in the Old World.'

  • Sales Rank: #968096 in eBooks
  • Published on: 2015-02-24
  • Released on: 2015-02-24
  • Format: Kindle eBook

Most helpful customer reviews

1 of 1 people found the following review helpful.
Four Stars
By Daniel A Shover
Enjoyed this book

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Sabtu, 25 Mei 2013

[M742.Ebook] Download Ebook The Logical Foundations of Mathematics (Foundations and philosophy of science and technology), by William S. Hatcher

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The Logical Foundations of Mathematics (Foundations and philosophy of science and technology), by William S. Hatcher

  • Sales Rank: #4451365 in Books
  • Published on: 1981-09
  • Original language: English
  • Number of items: 1
  • Binding: Hardcover
  • 320 pages

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3 of 4 people found the following review helpful.
Other mathematical logic books are better
By Frank Cannonito
I am a retired professor of mathematics who specialized in math logic - Elliott Mendelson was one of my thesis advisers. This book seems to offer very little that isn't found in Mendelson's highly regarded text in greater detail and less hand waving. The only section not found in Mendelson's book is Hatcher's last chapter on Categorical Algebra but this can be found elsewhere for example MacLane's "Categories for the Working Mathematician." I also prefer the discussion on the foundations of mathematics to be found in the less expensive Dover reprint of Kleene's "Mathematical Logic" another fine textbook of logic. Finally there is Shoenfield's "Mathematical Logic," which can be ordered from the Association for Symbolic Logic. In an appendix Shoenfield gives the Higman proof, nicely streamlined, of the characterization of finitely generated subgroups of finitely presented groups. This is where I learned the proof and I highly recommend this text too. So, in conclusion, I do not recommend Hatcher's book UNLESS IT IS THE ASSIGNED TEXT FOR SOME COURSE!

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Sabtu, 18 Mei 2013

[E300.Ebook] PDF Download Power Plant Engineering and Design, by Frederick T. Morse

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Power Plant Engineering and Design, by Frederick T. Morse

A text for engineers and students of engineering covering the theory and practice of stationary electric generating plants. Chapters cover: 1) General Introduction of power and industry. 2) The Variable Load Problem. 3) Power Plant Economics. 4) The Power Plant Building. 5) Diesel Engine power. 6) The Hydro Electric Plant. 7) The Hydro Electric Plant - contd. 8) Vapor Cycles and Their Heat Balances. 9) Steam Boilers, Prime Movers and Condensers. 10) The Gas Loop. 11) The Feed Water Loop. 12) The Piping System. 13) Electric System Equipment. 14) Electric System Layout. 15) Conclusion.

  • Sales Rank: #10901687 in Books
  • Published on: 1949
  • Binding: Hardcover
  • 703 pages

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Sabtu, 11 Mei 2013

[F830.Ebook] Ebook Human Osteology: A Laboratory and Field Manual (Special Publication No. 2 of the Missouri Archaeological Soc), by William M Bass

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Human Osteology: A Laboratory and Field Manual (Special Publication No. 2 of the Missouri Archaeological Soc), by William M Bass

Discusses ways to identify human bones and how to reconstruct a skeleton; useful in the forensic fields and for archaeology.

  • Sales Rank: #498817 in Books
  • Brand: Brand: MISSOURI ARCHAEOLOGICAL SOC
  • Published on: 2005-01-01
  • Original language: English
  • Number of items: 1
  • Dimensions: 9.00" h x .90" w x 6.70" l,
  • Binding: Spiral-bound
  • 365 pages
Features
  • Used Book in Good Condition

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8 of 8 people found the following review helpful.
A great practical field book
By Howmuchcanakoalabear
For students of palaeo and forensic anthropology, this book is an excellent field guide and reference. Although some of the terminologies and formulae are American-orientated, Bass has produced an excellent supplement to standard texts which makes identification of 'minor' skeletal parts a bit easier. It's a pity about the spiral binding which limits its life off the bookshelf. I ended up removing the covers which I covered in plastic book wrap and replaced within the wire spiral - hopefully this will entend its life.

It would be useful if future editions could include stature regression formulae for a wider cross section of world geographic groups (broader than just America - we are not all the same!). It would also be useful to develop an indexed interactive CD version which could be loaded onto a laptop.

Overall, an excellent resource.

0 of 0 people found the following review helpful.
Not satisfied with purchase
By Lawrence Littman
Poorly bond addition. Pages loose. Not satisfied with purchase.

Dr. Lawrence Littman

0 of 0 people found the following review helpful.
Excellent William Bass reference
By P. A. Thomas
Another excellent William Bass reference source for human osteology.

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Jumat, 10 Mei 2013

[G393.Ebook] Ebook Download A Preface to Logic, by Morris R. Cohen

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A Preface to Logic, by Morris R. Cohen

Over the past two centuries the field of logic has developed at an explosive pace into new areas far removed from the traditional syllogism and formal proof. The purpose of this well-known introductory treatment is to chart, clearly and lucidly, this new domain of today's vastly sophisticated logic. Author Morris R. Cohen explores "the periphery of logic, the relations of logic to the rest of the universe, the philosophical presuppositions which give logic its meaning, and the applications which give it importance."
Beginning with an exploration of the traditional scope of logic as the medium of formal proofs, the text pursues a modern investigation of the relationship between logic and the mind, logic and speech, logic in metaphor and fiction―and most significantly, logic and the concept of abstract reasoning as applied to the empirical world. Additional topics include logic and statistical method, probability, and scientific models. Concise and highly readable, this volume is suitable for college undergraduates and other readers interested in logic. 1944 edition.

  • Sales Rank: #1256852 in eBooks
  • Published on: 2015-01-05
  • Released on: 2015-01-05
  • Format: Kindle eBook

From the Back Cover

Over the past two centuries the field of logic has developed at an explosive pace into new areas far removed from the traditional syllogism and formal proof. The purpose of this well-known introductory treatment is to chart, clearly and lucidly, this new domain of today's vastly sophisticated logic. Author Morris R. Cohen explores "the periphery of logic, the relations of logic to the rest of the universe, the philosophical presuppositions which give logic its meaning, and the applications which give it importance."
Beginning with an exploration of the traditional scope of logic as the medium of formal proofs, the text pursues a modern investigation of the relationship between logic and the mind, logic and speech, logic in metaphor and fiction―and most significantly, logic and the concept of abstract reasoning as applied to the empirical world. Additional topics include logic and statistical method, probability, and scientific models. Concise and highly readable, this volume is suitable for college undergraduates and other readers interested in logic.
Dover (2015) republication of the edition originally published by Henry Holt, New York, 1944.
See every Dover book in print at
www.doverpublications.com

About the Author
Morris Raphael Cohen (1880–1947) was Professor of Philosophy at City College of New York from 1912 to 1938. The most prominent figure in American philosophy and philosophic studies of his era, he also taught at the University of Chicago and The New School for Social Research. His other books include Reason and Nature, Law and the Social Order, and The Meaning of Human History.

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6 of 8 people found the following review helpful.
Preface to Logic
By Jake Le Master
Although Cohen was unrivaled in contemporary American philosophy for the diversity of the subjects with which he occupied himself, it is from logic that he draws the basic principles that enable him to survey so wide a domain with such a unity of view. Early in life, through the study of Russell's Principles of Mathematics, he became convinced of the reality of abstract or mathematical relations. That pure mathematics asserts only logical implications and that such logical implications or relations cannot be identified with either psychological or physical events, but are involved as determinants of both, seemed to him to offer a well-grounded and fruitful starting point for philosophy. It at once ruled out for him the empiricism of Mill, since relations if they exist in the mind only cannot connect things external to the mind; it also ruled out for him the Hegelian effort to locate relations in an absolute totality that is beyond human understanding and therefore of no explanatory value. On the positive side the doctrine, since it constitutes a ground for the procedures of scientific method generally, permitted him to take full advantage of the remarkable developments of modern scientific thought. It led him also to return to what constituted the concern of classical philosophy before it became preoccupied with the problem of knowledge--mathematics, physics, biology, psychology, ethics, law, art, and religion. In philosophy proper it enabled him in the course of his extensive writings to raise almost every metaphysical question of importance and it re sulted in the composition of his book Reason and Nature, one of the few inexhaustible philosophical volumes written in America.

When the second edition of Russell's Principles of Mathematics appeared in 1938 Russell pointed out that the Pythagorean numerology

". . . has misled mathematicians and the Board of Education down to the present day. Consequently, to say that numbers are sym bols which mean nothing appears as a horrible form of atheism. At the time when I wrote the Principles, I shared with Frege a belief in the Platonic reality of numbers, which, in my imagina tion, peopled the timeless realm of Being. It was a comforting faith, which I later abandoned with regret."

Many of the disciples, however, refused to give up the faith and have busily defended the doctrines of the first edition against those of the second. Cohen long before the appearance of the second edition had detected this shift in Russell's thought. He remarked that with the publication of the Principles Russell became his Allah, and that Mohammed has kept the faith even though Allah himself has perhaps somewhat departed from it. Perhaps no more bitter controversy has been engendered in the mathematico-logical field than the dispute touched upon briefly by Russell in the passage quoted above. "What is all this frog-and-mouse battle among the mathematicians about?" even Einstein paused to ask. Its ramifications were extensive, and the militancy of contemporary logical positivism is current evidence that the questions still evoke strong partisanship.

Cohen in the present volume pays his respects once again to this and numerous other controversial matters, related more to the metaphysical foundations of logic than to the traditional technical themes. Logic, for him the most general of all the sciences, attempts to isolate the elements or operations common to all of them. From this it follows that the laws of logic have no contraries which possess meaning or are applicable to any possible determinate object, a condition which is not true of the special sciences, the systems of which have contraries which are abstractly possible. Cohen's view is that the distinctive subject matter of logic is formal truth, that such truth is concerned with the implication, consistency or necessary connection between objects asserted in propositions, the relations generally expressed by if--then necessarily. This conception of the subject matter of logic, although it is an accurate description of the basic content of the classical Aristotelian logic, has many assailants. In fact it is argued today, so unsettled is the whole matter, that there is no ground for asserting that logic has any subject matter.

Against such a delimitation of the subject matter of formal logic as that attempted by Cohen the objection is offered that it is a deduction from a particular philosophy, and that the field of logic should not be determined by such partial considerations. Cohen's position avowedly is an expression of his philosophy of logical realism. But since his conception of logic can be deduced from many philosophies, although not all the interpretations which Cohen puts upon the various logical doctrines can be so deduced, the validity of the conception should be judged by other considerations. If a true philosopher is one who has grounds for his belief, then Cohen assuredly, in the present case, qualifies for that distinction; however, since a true conclusion can follow from a false premise his understanding of logic is not undermined by a disproof of his philosophy. The argument that there is no ground in the present condition of logical knowledge to hold that logic has a distinctive subject matter, is an admonition of caution, and as such undoubtedly has merit. But in the absence of the construction of a non-Aristotelian logic, in which the contraries of the principles of contradiction and excluded middle are assumed to be true, and from which valid inferences can be drawn, we may assume that logical truths have been discovered, and that their study is the subject matter of logic.

Notwithstanding the fact that Cohen's emphasis is upon the abstract qualities of logic, he has always been careful to disassociate himself from logical positivism, which maintains that formal logic deals with linguistic expressions without any reference to sense or meaning. This attitude of the logical positivists is a development of Hubert's formalism, according to which mathematics is a game played according to simple, definite rules with meaningless marks on paper. Mathematics is held to be comparable to a game of chess. It is said that chess players do not ask what a particular game "means," although at some future day the game may acquire a meaning, if it should be interpreted in terms of law, economics or religion. However, the analogy is not strictly accurate, since today the result of a game of chess may mean that A is better than or equal to B in chess playing ability. In his application of Hubert's idea to logical inference Carnap uses the example of meaningless symbols: From "Pirots karulize elastically" and "A is a Pirot," we can infer that "A karulizes elatically," without knowing the meaning of the three words or the sense of the three sentences. Cohen denies that this is so. He points out that Carnap admits these are sentences only because we assume that "Pirots" is a substantive, "karulizes" is a verb (both of these terms being plural in the first sentence and singular in the others) and "elastically" is an adverb describing a way in which a process takes place.

"These expressions [Cohen writes] are therefore not entirely meaningless as would be undiluted gibberish. If instead of "Pirots" we put "the members of any class of objects" and instead of "karulize elastically" we put "are members of another class" we have as an inference that "a member of the first class is necessarily a member of the second class." And this I submit is the actual meaning which Professor Carnap's example suggests to anyone to whom the inference seems a valid one. This statement applies to all possible objects irrespective of any of their specific or differential traits but assuredly is not therefore entirely meaningless."

But is this Carnap's point? His position in fact is, that in order to determine whether or not one sentence is a consequence of another, no reference need be made to the meaning of the sentences; it is sufficient that the syntactical design of the sentences be given. Cohen seems to admit this when he grants that "A karulizes elastically" follows from the premises. Before he made that concession, surely it was not necessary for him to translate the nonsense words of Carnap's syllogism into his own meaningful sentences. Although Carnap's position is not answered by a demonstration that if a certain consequence is deducible from the manipulation of sentences possessing only a syntactical meaning, then a meaning otherwise than syntactical can be read into the sentences, it does point the way to the principal defect of the positivistic logic. All that Carnap says may be true, but we are still faced with the problem of giving language a material application. It is of the essence of language from the point of view of science that it communicate meaning with respect to matters which are true or false. If we start with, "If X, then Y," the problem is to arrive at, "If Socrates, then mortal," and not, "If Socrates, then immortal." If Carnap's conclusion that logic is nothing but syntax were true, logic would lose its scientific significance. Professor Carnap's effort to meet this problem through his method of ostensive definition reveals the real difficulties of his position.

Cohen's importance in contemporary thought is due as much to his application of the methods of science to problems of human existence as to his technical contributions to philosophy. Since Hegel he and Jordan were the only philosophers of standing who concerned themselves extensively with the problems of the legal ordering of society. Thus he rejects altogether the view that since science can deal only with the facts of existence, judgments of what ought to be are so arbitrary that no science of norms is possible. He insists that the essence of science consists of the formulation of hypotheses based upon the best available knowledge and anticipating new situations which can be experimentally tested so that greater determination can be achieved. He maintains that this procedure is open to ethics. An ethical system, he argues, can achieve the status of a scientific system if adequate hypotheses as to what is good or bad, or what is necessary in order to achieve certain ends, are developed. This position seems unassailable as far as it goes, but does it answer the real difficulty? It disposes of those who maintain that facts are the starting point of inquiry; but what of those who admit that facts are the ends to be achieved by inquiry, and who still deny the possibility of a science of ethics on the ground of the complexity of the subject matter or that of the ultimate irrelevance of ethical judgments to life on this earth? The hypothetico-deductive system has yielded extra ordinary knowledge of the physical world; but that process has been successful, in part at least, because of the ability of the physicist to simplify and deal only with ideal entities. Where the scientist has not been able to simplify he has failed, as in cancer research. We do not know if the method of simplification, i.e., the pursuit of the implications or effects of one single aspect or factor of a situation, is available in ethical inquiry in any significant sense, since the nature of human conduct may be such that it will not yield to that technique. Furthermore, since we see no ground for such action we do not today pass judgment on the goodness or badness of the universe, the evil ness of volcanic eruptions, or the practice of slavery among the ants. Whatever our preferences may be, Cohen's argument does not negative the possibility that ethical judgments of human conduct may be just as irrelevant as evaluations of the physical universe. This argument does not foreclose the possibility of a technology of ethics founded on unsystematized preferences and ends, in which normative judgments to that extent possess relevance. But a science of ethics demands as a prerequisite a determinate system, a condition which the complexities of conduct may make impossible.

Cohen's present volume is devoted, as can be seen from the foregoing, to an analysis of problems lying on the borderlines of logic, and not with the customary subject matter of the usual treatises. Since his writing is distinguished by an admirable clarity, his argument can be followed with ease by the intelligent reader. All the topics which he discusses are the subject of radical inquiry in philosophical circles. They embrace such matters as the nature of propositions, the theory of meaning and implication, the overlap of logical classes, fictions, the statistical view of nature, logic and the world order and a chapter on probability which is a valuable supplement to the discussion of the same topic in Reason and Nature. These topics may seem innocuous, but they harbor questions the analysis of which has led within recent years to actual assassination, and the framers of political programs have found it expedient to take official notice of them. As a whole the volume is one of the best existing statements in the field of logic of the point of view of that branch of American philosophy which deals with its subject matter through the methods of science.

1 of 1 people found the following review helpful.
THE AMERICAN PHILOSOPHER EXPLORES THE “PERIPHERY OF LOGIC”
By Steven H Propp
Morris Raphael Cohen (1880-1947) was an American philosopher, lawyer, and legal scholar who united pragmatism with logical positivism and linguistic analysis. He wrote other books such as Reason And Nature, An Essay On The Meaning Of Scientific Method, The Faith of a Liberal: Selected Essays, Studies in Philosophy and Science, etc.

He wrote in the Foreword to this 1944 book, “This volume does not purport to be a treatise on logic. Whatever slight contributions I have been able to make to the substance of logical doctrine have been made elsewhere. What is attempted in the studies that form this volume is an exploration of the periphery of logic, the relations of logic to the rest of the universe, the philosophical presuppositions which give logic its meaning, and the applications which give it importance. If this voyage of exploration does not settle any of the domains surveyed, I trust that it may at least dispel some doubts as to the existence of these domains and perhaps persuade some who are now inclined to waiver that here are fertile fields which will richly repay honest intellectual labor.” (Pg. x-xi)

He explains in the first chapter, “The employment of special symbols instead of the more familiar symbols called words, is a practical convenience rather than a logical necessity. There is not a proposition in logic or mathematics that cannot be ultimately expressed in ordinary words (this is proved by the fact that these subjects can be taught to those who do not start with a knowledge of the special symbols). But practically it is impossible to make much progress in mathematics and logic without appropriate symbols.” (Pg. 8)

He states, “Mill’s method of agreement and difference has a limited usefulness as a method of eliminating the circumstances which are not causal, and thereby helping somewhat in finding the true cause. But it is to be observed that the efficiency of this method depends on our fundamental assumption as to what circumstances are relevant or possibly related causally to the given effect. If the true cause is not included in our major premise the ‘canons of induction’ will not enable us to discover it. If anyone thinks that I have understated the case for these canons of induction as methods of discovery, let him discover by their means the cause of cancer or of disorders in internal secretions.” (Pg. 21)

He comments on the logical Positivism of Rudolf Carnap: “Carnap and others deny that any unverifiable proposition has meaning… We do not ordinarily think that the meaning of anything is identical with its verifiable consequences. All sorts of statements are ordinarily deemed significant or meaningful without it ever occurring to us to undertake their verification. Such is the case, for example, with ordinary suppositions, invitations, statements of problems, expressions of doubt, questions, statements of immediate perception, and statements of logical implications. Surely these and other types of intelligible statement have meaning without being verified. I say to someone, ‘Consider the case of a man drowning.’ This is an intelligible statement that does not call for verification.” (Pg. 57)

He observes, “Recent psychology seems to justify the doubt, expressed long ago by Burke, as to whether people who understand what is meant by right, liberty, justice, etc., have any corresponding images other than the words or sounds, and whether even more concrete concepts universally arouse any other images in the course of ordinary rapid conversation or reading.” (Pg. 68)

He points out, “Consider the usual illustration of induction given in our logic texts, viz., that of the sun rising. Is it true that the more often we have seen it rise the more probable it is that we will see it rise again? If that were the case there would be a greater probability of the man who has been it rise 36,000 times living another day, than the man who had seen it rise 3,600 times---which is absurd. Mill, himself the strongest defender of the claims of induction, admitted with characteristic candor that in some cases a few instances are far more probative than a much larger number of instances in other situations.” (Pg. 106)

He argues, “Conclusions are necessitated by the premises because if we follow certain rules of logic all alternative conclusions are shown to be impossible. By ruling out certain possibilities of premises and conclusions we achieve determinate results. In this development of limited possibilities lies the fruitfulness of logic. Mathematics is thus productive as well as deductive. It is an exploration of the field of possibility just as truly as astronomy is an exploration of the field of stellar motions.” (Pg. 181)

Cohen’s book, though more than seventy years old, may still interest modern students of logic looking for an introduction to the “principles” of the subject.

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[L229.Ebook] PDF Download Writing the Classical Way: Student Text, by Eileen Cunningham, Amy Alexander

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Writing the Classical Way: Student Text, by Eileen Cunningham, Amy Alexander

What if you could learn to write well using a method that had been successful for thousands of years? Writing the Classical Way does just that, teaching ancient writing exercises (the progymnasmata) to pre-rhetoric students. These fourteen exercises help students master each aspect of narrative, expository, and persuasive writing through incremental steps.

Developed and tested in the classroom, Writing the Classical Way features the following:

  • Overview of each progymnasmata exercise containing its definition, purpose, and organization
  • Emphasis on historical literature and examples
  • Connections between each progymnasmata exercise and the modern world
  • Use of standard forms of English paragraph and essay organization
  • “Think It Through” questions to de-mystify the progymnasmata
  • Model essays in each chapter
  • A proven method for teaching students to write well

  • Sales Rank: #2239124 in Books
  • Published on: 2013-08-31
  • Original language: English
  • Dimensions: 11.00" h x .46" w x 8.50" l,
  • Binding: Paperback
  • 200 pages

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2 of 2 people found the following review helpful.
and they actually enjoyed the writing exercises
By Jeff
Two of our children have been led through levels one and two of Writing the Classical Way. The children had not been in a formal composition class before, but they worked through these books in grades 7 and 8. It didn't take long for them to grasp the concepts that they were being asked to learn, and they actually enjoyed the writing exercises! They learned to write with a purpose, were equipped to express and defend their thoughts, and they were challenged to think in ways that fostered and allowed them to be creative. As the books progress, the exercises ask more of the student, and little by little, their writer's "tool bag" is added to, so to speak. I honestly can't imagine learning to write using any other method. Its complete and systematic nature of teaching writing made what can seem a bore and a chore something to which they looked forward. From what I understand, the writers of this book have written Book 3, and it will be available on Amazon in late fall. Also, I understand that revised editions of levels one and two are coming out in early August.

0 of 0 people found the following review helpful.
Thoughtful and challenging
By 867-5309
Difficult. Probably recommended for minimum of upper elementary aged students.

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Rabu, 08 Mei 2013

[S514.Ebook] Free Ebook How To Use Instagram For Business - A Practical Guide For Marketers, Business Owners and Entrepreneurs, by Jason Holder

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  • Sales Rank: #1445172 in eBooks
  • Published on: 2013-06-10
  • Released on: 2013-06-10
  • Format: Kindle eBook

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0 of 0 people found the following review helpful.
It was ok
By Elmar W van Zyl
I think if you're an absolute new-comer to Instagram you might find this book helpful. I found it to be a bit basic and repetitive. Very brief and it didn't really introduce anything ground breaking or new from a strategic point of view, some points are a little questionable too. If you live under a rock and you haven't heard about Instagram then start here. It's probably worth your time.

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