Proofs from THE BOOK

Front Cover
Springer Science & Business Media, 2004 - 239 pages
13 Reviews

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. Some of the proofs are classics, but many are new and brilliant proofs of classical results. ...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

..". the style is clear and entertaining, the level is close to elementary ... and the proofs are brilliant. ..." LMS Newsletter, January 1999

This third edition offers two new chapters, on partition identities, and on card shuffling. Three proofs of Euler's most famous infinite series appear in a separate chapter. There is also a number of other improvements, such as an exciting new way to "enumerate the rationals."

  

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Review: Proofs from THE BOOK

User Review  - Nishant Pappireddi - Goodreads

This book gives relatively elegant proofs of theorems from many different fields of mathematics, and often gives multiple proofs for the same theorem. It does require some calculus and linear algebra ... Read full review

Review: Proofs from THE BOOK

User Review  - Lewis Cawthorne - Goodreads

Sitting on my shelf at he lab. Was rather inaccessible to quick skimming. Looking forward o sitting down with pape, pen, and time. Read full review

Contents

II
3
III
7
IV
13
V
17
VI
23
VII
27
VIII
35
IX
43
XXIII
127
XXIV
133
XXV
137
XXVI
139
XXVII
151
XXVIII
157
XXIX
167
XXX
173

X
45
XI
53
XII
59
XIII
65
XIV
71
XV
75
XVI
79
XVII
85
XVIII
91
XIX
93
XX
109
XXI
117
XXII
123
XXXI
179
XXXII
185
XXXIII
191
XXXIV
197
XXXV
199
XXXVI
203
XXXVII
207
XXXVIII
213
XXXIX
223
XL
227
XLI
236
XLII
237
Copyright

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About the author (2004)

Aigner of Free University of Berlin, Germany

Ziegler of the Technical University, Berlin, Germany

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