Proofs from THE BOOK, 3/e
暫譯: 《書中的證明》第三版

Martin Aigner, Günter M. Ziegler

Proofs from THE BOOK, 3/e
  • 出版商: Springer
  • 出版日期: 2003-11-13
  • 售價: $2,210
  • 貴賓價: 9.5 折 $2,100
  • 語言: 英文
  • 頁數: 240
  • 裝訂: Hardcover
  • ISBN: 3540404600
  • ISBN-13: 9783540404606

    • 海外代購書籍(需單獨結帳)

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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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來自評論：

「...《PFTB (來自書中的證明)》確實是一窺數學天堂的窗口，聰明的見解和美麗的想法以驚人而輝煌的方式結合在一起。其頁面中蘊藏著豐富的寶藏，一顆接著一顆的珍寶。有些證明是經典，但許多則是對經典結果的新穎而精彩的證明。... Aigner 和 Ziegler... 寫道：'... 我們所提供的只是我們所選擇的例子，希望我們的讀者能與我們分享對精彩想法、聰明見解和美妙觀察的熱情。' 我確實如此。...」美國數學學會通報，1999年8月

「... 風格清晰且引人入勝，水平接近初級... 而且證明非常精彩。...」倫敦數學學會通訊，1999年1月

這第三版提供了兩個新章節，分別關於分割恆等式和洗牌。歐拉最著名的無限級數的三個證明出現在一個單獨的章節中。還有許多其他改進，例如一種令人興奮的新方法來「列舉有理數」。

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