Elliptic Tales: Curves, Counting, and Number Theory (Hardcover)
暫譯: 橢圓曲線趣談:曲線、計數與數論
Ash, Avner, Gross, Robert
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商品描述
A look at one of the most exciting unsolved problems in mathematics today
Elliptic Tales describes the latest developments in number theory by looking at one of the most exciting unsolved problems in contemporary mathematics--the Birch and Swinnerton-Dyer Conjecture. In this book, Avner Ash and Robert Gross guide readers through the mathematics they need to understand this captivating problem.
The key to the conjecture lies in elliptic curves, which may appear simple, but arise from some very deep--and often very mystifying--mathematical ideas. Using only basic algebra and calculus while presenting numerous eye-opening examples, Ash and Gross make these ideas accessible to general readers, and, in the process, venture to the very frontiers of modern mathematics.
商品描述(中文翻譯)
一窺當今數學界最令人興奮的未解問題之一
《Elliptic Tales》透過探討當代數學中最令人興奮的未解問題之一——Birch–Swinnerton-Dyer 猜想,介紹數論的最新發展。在本書中,Avner Ash 與 Robert Gross 引導讀者學習理解這個引人入勝問題所需的數學知識。
這個猜想的關鍵在於橢圓曲線(elliptic curves)。橢圓曲線看似簡單,卻源自一些極為深奧、且往往令人難以捉摸的數學概念。Ash 與 Gross 僅運用基礎代數與微積分,並搭配大量發人深省的實例,讓一般讀者也能理解這些概念;在此過程中,他們更帶領讀者探索現代數學的最前沿。
作者簡介
Avner Ash is professor of mathematics at Boston College. Robert Gross is associate professor of mathematics at Boston College. They are the coauthors of Fearless Symmetry: Exposing the Hidden Patterns of Numbers (Princeton).
作者簡介(中文翻譯)
Avner Ash 是 Boston College 的數學教授。Robert Gross 是 Boston College 的數學副教授。他們共同合著了 Fearless Symmetry: Exposing the Hidden Patterns of Numbers(Princeton)。