Name: Proofs from THE BOOK By Martin Aigner
SKU: 9783662572641
Price: 42.99 GBP
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Proofs from THE BOOK Summary

Proofs from THE BOOK by Martin Aigner

This revised and enlarged sixth edition ofProofs from THE BOOKfeatures an entirely new chapter on Van der Waerdens 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 peopleof 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 Gunter Ziegler succeeded admirably in putting together a broad collection of theorems and their proofs that would undoubtedly be in the Book of Erdos. 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

About Martin Aigner

Martin Aigner received his Ph.D. from the University of Vienna and has been professor of mathematics at the Freie Universitat Berlin since 1974. He has published in various fields of combinatorics and graph theory and is the author of several monographs on discrete mathematics, among them the Springer books Combinatorial Theory and A Course on Enumeration. Martin Aigner is a recipient of the 1996 Lester R. Ford Award for mathematical exposition of the Mathematical Association of America MAA.

Gunter M. Ziegler received his Ph.D. from M.I.T. and has been professor of mathematics in Berlin first at TU Berlin, now at Freie Universitat since 1995. He has published in discrete mathematics, geometry, topology, and optimization, including the Lectures on Polytopes with Springer, as well as Do I Count? Stories from Mathematics. Gunter M. Ziegler is a recipient of the 2006 Chauvenet Prize of the MAA for his expository writing and the 2008 Communicator award ofthe German Science Foundation.

Martin Aigner and Gunter M. Ziegler have started their work on Proofs from THE BOOK in 1995 together with Paul Erdos. The first edition of this book appeared in 1998 it has since been translated into 13 languages: Brazilian, Chinese, German, Farsi, French, Hungarian, Italian, Japanese, Korean, Polish, Russian, Spanish, and Turkish.

Number Theory: 1. Six proofs of the infinity of primes.- 2. Bertrands postulate.- 3. Binomial coefficients are (almost) never powers.- 4. Representing numbers as sums of two squares.- 5. The law of quadratic reciprocity.- 6. Every finite division ring is a field.- 7. The spectral theorem and Hadamards determinant problem.- 8. Some irrational numbers.- 9. Three times 2/6.- Geometry: 10. Hilberts third problem: decomposing polyhedral.- 11. Lines in the plane and decompositions of graphs.- 12. The slope problem.- 13. Three applications of Eulers formula.- 14. Cauchys rigidity theorem.- 15. The Borromean rings dont exist.- 16. Touching simplices.- 17. Every large point set has an obtuse angle.- 18. Borsuks conjecture.- Analysis: 19. Sets, functions, and the continuum hypothesis.- 20. In praise of inequalities.- 21. The fundamental theorem of algebra.- 22. One square and an odd number of triangles.- 23. A theorem of Polya on polynomials.- 24. Van der Waerden's permanent conjecture.- 25. On a lemma of Littlewood and Offord.- 26. Cotangent and the Herglotz trick.- 27. Buffons needle problem.- Combinatorics: 28. Pigeon-hole and double counting.- 29. Tiling rectangles.- 30. Three famous theorems on finite sets.- 31. Shuffling cards.- 32. Lattice paths and determinants.- 33. Cayleys formula for the number of trees.- 34. Identities versus bijections.- 35. The finite Kakeya problem.- 36. Completing Latin squares.- Graph Theory: 37. Permanents and the power of entropy.- 38. The Dinitz problem.- 39. Five-coloring plane graphs.- 40. How to guard a museum.- 41. Turans graph theorem.- 42. Communicating without errors.- 43. The chromatic number of Kneser graphs.- 44. Of friends and politicians.- 45. Probability makes counting (sometimes) easy.- About the Illustrations.- Index.

Additional information

Sku

NGR9783662572641

ISBN 13

9783662572641

ISBN 10

3662572648

Title

Proofs from THE BOOK by Martin Aigner

Author

Martin Aigner

Condition

New

Binding type

Hardback

Publisher

Springer-Verlag Berlin and Heidelberg GmbH & Co. KG

Year published

2018-07-06

Number of pages

326

Prizes

N/A

Cover note

Book picture is for illustrative purposes only, actual binding, cover or edition may vary.

Note

This is a new book - be the first to read this copy. With untouched pages and a perfect binding, your brand new copy is ready to be opened for the first time

Proofs from THE BOOK Martin Aigner

Proofs from THE BOOK by Martin Aigner

Proofs from THE BOOK Summary

Proofs from THE BOOK by Martin Aigner

About Martin Aigner

Table of Contents

Additional information

Customer Reviews - Proofs from THE BOOK