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Proofs from THE BOOK
Get Free Ebook Proofs from THE BOOK
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Review
2018 Steele Prize for Mathematical Exposition
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From the Back Cover
This revised and enlarged sixth edition of Proofs from THE BOOK features an entirely new chapter on Van der Waerden’s permanent conjecture, as well as additional, highly original and delightful proofs in other chapters. From the citation on the occasion of the 2018 "Steele Prize for Mathematical Exposition" “… It is almost impossible to write a mathematics book that can be read and enjoyed by people of all levels and backgrounds, yet Aigner and Ziegler accomplish this feat of exposition with virtuoso style. […] This book does an invaluable service to mathematics, by illustrating for non-mathematicians what it is that mathematicians mean when they speak about beauty.†From the Reviews "... Inside PFTB (Proofs from The Book) is indeed a glimpse of mathematical heaven, where clever insights and beautiful ideas combine in astonishing and glorious ways. There is vast wealth within its pages, one gem after another. ... Aigner and Ziegler... write: "... all we offer is the examples that we have selected, hoping that our readers will share our enthusiasm about brilliant ideas, clever insights and wonderful observations." I do. ... " Notices of the AMS, August 1999 "... This book is a pleasure to hold and to look at: ample margins, nice photos, instructive pictures and beautiful drawings ... It is a pleasure to read as well: the style is clear and entertaining, the level is close to elementary, the necessary background is given separately and the proofs are brilliant. ..." LMS Newsletter, January 1999 "Martin Aigner and Günter Ziegler succeeded admirably in putting together a broad collection of theorems and their proofs that would undoubtedly be in the Book of Erdös. The theorems are so fundamental, their proofs so elegant and the remaining open questions so intriguing that every mathematician, regardless of speciality, can benefit from reading this book. ... " SIGACT News, December 2011
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Product details
Hardcover: 326 pages
Publisher: Springer; 6th ed. 2018 edition (June 14, 2018)
Language: English
ISBN-10: 9783662572641
ISBN-13: 978-3662572641
ASIN: 3662572648
Product Dimensions:
7.8 x 0.8 x 9.8 inches
Shipping Weight: 2 pounds (View shipping rates and policies)
Average Customer Review:
4.5 out of 5 stars
5 customer reviews
Amazon Best Sellers Rank:
#293,418 in Books (See Top 100 in Books)
I would have thought it impossible to be disappointed by such an obviously great idea, but disappointed I am. The proofs are written in oddly poor fashion; almost like a quick first draft, with definitions frequently following use, trivial ideas spelled out while complex steps are omitted, and random use of advanced, often undefined, terminology amidst otherwise low-level proofs. Sometimes you are treated like a beginning trigonometry student then suddenly, mid-proof, graduate level knowledge is invoked for a single line. It is a jarring style that continues throughout.There is also an extreme emphasis on graph theory. Maybe this is inspired by Paul Erdos' career - I don't know enough to say, although I never gathered that impression. But I can say many suitable classic proofs, and indeed whole fields of mathematics, are missing while there is much more graph theory than the TOC would suggest.That said, there are many beautiful ideas within. If one can overlook the annoyance of the presentation, there is a lot of entertainment to be had.The potential is obvious. As this is the 5th edition I must assume the authors are committed to this style. But perhaps another author will be inspired to create their own "Book" without these glaring flaws.
A treasure trove of fascinating information that enchants as it informs. Densely packed, so read and digest only a few pages a day.
Great experience
I try to read a chapter a week -- the ideas leave me shaking my head at how beautiful math can be
Very interesting book
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