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The Princeton Companion to Mathematics
Get Free Ebook The Princeton Companion to Mathematics
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Review
"Winner of the 2011 Euler Book Prize, Mathematical Association of America""One of Choice's Outstanding Academic Titles for 2009""Honorable Mention for the 2008 PROSE Award for Single Volume Reference/Science, Association of American Publishers""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)"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)
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From the Inside Flap
"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
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Product details
Hardcover: 1034 pages
Publisher: Princeton University Press; Third Printing Used edition (September 28, 2008)
Language: English
ISBN-10: 0691118809
ISBN-13: 978-0691118802
Product Dimensions:
8.1 x 2.5 x 10 inches
Shipping Weight: 6 pounds (View shipping rates and policies)
Average Customer Review:
4.5 out of 5 stars
84 customer reviews
Amazon Best Sellers Rank:
#127,217 in Books (See Top 100 in Books)
I love this book. I have the paper and kindle versions because they complement each other. It is because of books like this that make me eschew TV so I can buy more books. Don't try to understand everything the first time around, just read it and wonder at how many smart people there are and why you never seem to get to meet them. This book delivers shock and awe for people who like to think. There are no exercises to make you feel guilty about not doing them.
This wonderful volume is one of four works I always keep in digital or desk drawer reach while reading/studying/ referencing any other math book or journal article, the complete list being:-- Encyclopedia Of Mathematics (Science Encyclopedia)-- The Princeton Companion to Mathematics-- Handbook of Mathematical Functions: with Formulas, Graphs, and Mathematical Tables (Dover Books on Mathematics)-- NIST Handbook of Mathematical Functions (Being of course the 2010 update of the Abramowitz classic above).Given these four, there is hardly a topic from among the current 495 math fields of study that isn't at least explained in enough detail to save LOTS of time on link expeditions. At minimum, these give head starts on alphabetized keywords that will quickly fill holes in any research project, class, or syllabus.
If you have a working math background and want to look at areas you never studied this is a great introduction. The preface says it was designed to introduce various areas of math to people with a math background in other areas. It works very well in that role. Although it displays only on my PC not on my paper-white the display is convenient and works very well. I am not a great typo hunter but have not found any.
This will keep me reading for years, and it's surprisingly well written. The problem with a book like this is that it can't really afford to go into depth (or it would grow to titanic size), but I guess that it's purpose is to expose people to interesting mathematics where they can get enough of a taste to know when to dive deeper. It does require discipline to stay on track at times, but it's worth pushing through (although I'm not finished yet).
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... ;-)
I haven't seen the printed version of this book, but it must be huge. This books covers a lot of topics in depth and you can regard it as a complement to the online Wikipedia pages or the Mathworld pages on the same subjects. I'm very happy with it, but I can't say that I've read the whole thing. It's a reference: very few people will ever read the whole thing.I'm an ex-math major picking his way through Galois Theory thirty years after graduation (and I wander into a lot of other topics, too). That's what I use this for. It would be interesting to hear what some research mathematicians think of it.
I own both the hardbound and the Kindle versions of this book. I really like the breadth and consistency of coverage of mathematics and mathematicians. Sure there's a lot of wiki content on the net for each topic but the consistency and quality of content isn't generally found in a single resource such as The Princeton Companion.The real issue is the poor Kindle version. many graphic elements that don't resize with changes in font size in the reader, insertion of a graphic for such things as |R for the Reals instead of typesetting it, white backgrounds on images that don't work with the sepia and black backgrounds and so on.It is really terrifically annoying that time and again books with heavy mathematical content beautifully typeset in physical or print replica editions are foisted off on readers in inadequately executed eReader formats such as mobi and ePub.If you check my reviews you'll find many Kindle formatted math books reviewed of which only the print replica versions are acceptable.
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