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Proofs from THE BOOK (Hardcover, 6th ed. 2018)
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Proofs from THE BOOK (Hardcover, 6th ed. 2018)
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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 Gunter Ziegler succeeded admirably
in putting together a broad collection of theorems and their proofs
that would undoubtedly be in the Book of Erdoes. 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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