Basic Number Theory (Paperback)
暫譯: 基本數論 (平裝本)

Weil, Andre

Basic Number Theory (Paperback)
  • 出版商: Springer
  • 出版日期: 1995-02-15
  • 售價: $3,450
  • 貴賓價: 9.8 折 $3,381
  • 語言: 英文
  • 頁數: 316
  • 裝訂: Quality Paper - also called trade paper
  • ISBN: 3540586555
  • ISBN-13: 9783540586555
  • 相關分類: 離散數學 Discrete-mathematics

    • 海外代購書籍(需單獨結帳)

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商品描述

)tPI(}jlOV, e oxov (10CPUljlr1.'CWV Aiux., llpop. . .dsup.. The first part of this volume is based on a course taught at Princeton University in 1961-62; at that time, an excellent set of notes was prepared by David Cantor, and it was originally my intention to make these notes available to the mathematical public with only quite minor changes. Then, among some old papers of mine, I accidentally came across a long-forgotten manuscript by Chevalley, of pre-war vintage (forgotten, that is to say, both by me and by its author) which, to my taste at least, seemed to have aged very well. It contained a brief but essentially com- plete account of the main features of classfield theory, both local and global; and it soon became obvious that the usefulness of the intended volume would be greatly enhanced if I included such a treatment of this topic. It had to be expanded, in accordance with my own plans, but its outline could be preserved without much change. In fact, I have adhered to it rather closely at some critical points.

商品描述(中文翻譯)

本卷的第一部分基於1961-62年在普林斯頓大學教授的課程；當時，由David Cantor準備了一套優秀的講義，最初我的意圖是僅進行一些微小的修改，將這些講義提供給數學界。然後，在我一些舊文件中，我意外地發現了一篇由Chevalley撰寫的長久被遺忘的手稿，這是一篇戰前的作品（被我和其作者都遺忘了），在我看來，這篇手稿似乎保存得相當好。它包含了對類域理論主要特徵的簡要但基本完整的描述，包括局部和全局的部分；很快就明顯了，如果我將這個主題的處理納入預定的卷冊中，將大大提高其實用性。根據我自己的計劃，這部分內容需要擴展，但其大綱可以在不做太多改變的情況下保留。事實上，在一些關鍵點上，我相當緊密地遵循了它。

作者簡介

Biography of André Weil

André Weil was born on May 6, 1906 in Paris. After studying mathematics at the École Normale Supérieure and receiving a doctoral degree from the University of Paris in 1928, he held professorial positions in India, France, the United States and Brazil before being appointed to the Institute for Advanced Study, Princeton in 1958, where he remained until he died on August 6, 1998.

André Weil's work laid the foundation for abstract algebraic geometry and the modern theory of abelian varieties. A great deal of his work was directed towards establishing the links between number theory and algebraic geometry and devising modern methods in analytic number theory. Weil was one of the founders, around 1934, of the group that published, under the collective name of N. Bourbaki, the highly influential multi-volume treatise Eléments de mathématique.

作者簡介(中文翻譯)

安德烈·維爾傳記

安德烈·維爾於1906年5月6日出生於巴黎。在巴黎高等師範學校（École Normale Supérieure）學習數學後，他於1928年獲得巴黎大學的博士學位，隨後在印度、法國、美國和巴西擔任教授，直到1958年被任命為普林斯頓高等研究院的教授，並在那裡工作直到1998年8月6日去世。

安德烈·維爾的研究為抽象代數幾何和現代阿貝爾多樣體理論奠定了基礎。他的許多工作旨在建立數論與代數幾何之間的聯繫，並設計現代解析數論的方法。維爾大約在1934年是以N. Bourbaki的集體名義出版的多卷本影響深遠的著作《數學元素》（Éléments de mathématique）的創始人之一。

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