The Price of Cake: And 99 Other Classic Mathematical Riddles
暫譯: 蛋糕的價格:以及99個經典數學謎題

Deslandes, Clément, Deslandes, Guillaume, Macé de Lépinay, Laure

  • 出版商: Summit Valley Press
  • 出版日期: 2023-02-28
  • 售價: $1,040
  • 貴賓價: 9.5$988
  • 語言: 英文
  • 頁數: 232
  • 裝訂: Quality Paper - also called trade paper
  • ISBN: 0262545241
  • ISBN-13: 9780262545242
  • 海外代購書籍(需單獨結帳)

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商品描述

Ingeniously designed mathematical riddles to delight armchair--and seasoned--mathematicians, in high school and beyond.

In The Price of Cake, brothers Clément and Guillaume Deslandes have assembled a uniquely rich and accessible collection of mathematical riddles, organized by difficulty and accompanied by unique hand-drawn illustrations. The challenges are exceptional in both their range and their precision. There are no "tricks" here--just good math to test your skills.

While any student will be thrilled to encounter fresh presentations of classic conundrums such as Simpson's paradox, Hilbert's infinite hotel, Monty Hall's paradox, and Seven Bridges of Königsberg, seasoned solvers will also appreciate challenging original puzzles using the Axiom of Choice and Conway's Soldiers problem. The Deslandes' lucid and elegant solutions offer new insights, as they seamlessly connect the skills applied in each problem to broader theoretical revelations. Moreover, as Fields Medalist Cédric Villani writes in his preface, these riddles are much more than just exercises. They capture "a certain dose of decorum and mystery," and to decipher them will require both imagination and tenacity.

To aid you on this journey, the authors provide hints to each puzzle, detailed proofs and solutions, and a series of Math Refreshers to revisit important concepts that are used to arrive at those answers. Entertaining and rigorous in equal measure, The Price of Cake is bound to captivate mathematics enthusiasts and students of all levels.

商品描述(中文翻譯)

巧妙設計的數學謎題,讓懷抱數學夢想的愛好者和資深數學家都能感到愉悅,適合高中生及以上的讀者。

The Price of Cake中,兄弟克萊門特(Clément)和吉約姆(Guillaume)·德朗德(Deslandes)匯集了一個獨特而豐富的數學謎題集,按難度分類,並附有獨特的手繪插圖。這些挑戰在範圍和精確性上都非常出色。這裡沒有「把戲」——只有良好的數學來考驗你的技能。

任何學生都會對經典難題的新呈現感到興奮,例如辛普森悖論(Simpson's paradox)、希爾伯特的無限旅館(Hilbert's infinite hotel)、蒙提霍爾悖論(Monty Hall's paradox)和柯尼斯堡七橋(Seven Bridges of Königsberg),而資深解題者也會欣賞使用選擇公理(Axiom of Choice)和康威士兵問題(Conway's Soldiers problem)的挑戰性原創謎題。德朗德兄弟清晰而優雅的解答提供了新的見解,因為它們無縫地將每個問題中應用的技能與更廣泛的理論啟示相連接。此外,正如菲爾茲獎得主塞德里克·維拉尼(Cédric Villani)在序言中所寫,這些謎題不僅僅是練習題。它們捕捉了「某種程度的端莊和神秘」,解開它們需要想像力和堅韌不拔的精神。

為了幫助你在這段旅程中,作者為每個謎題提供了提示、詳細的證明和解答,以及一系列數學回顧(Math Refreshers),以重溫用於得出這些答案的重要概念。The Price of Cake在娛樂性和嚴謹性上達到了平衡,必定會吸引各個層次的數學愛好者和學生。

作者簡介

Clément Deslandes is a current PhD candidate in mathematics at the École Polytechnique.

Guillaume Deslandes teaches undergraduate-level mathematics at College Stanislas in Paris.

作者簡介(中文翻譯)

克萊門特·德朗德 目前是法國高等工藝學院(École Polytechnique)的數學博士候選人。

紀尓姆·德朗德 在巴黎的斯坦尼斯拉斯學院教授本科數學。