Number Theory: An Introduction to Mathematics
暫譯: 數論:數學入門

Coppel, W. a.

  • 出版商: Springer
  • 出版日期: 2009-08-12
  • 售價: $4,990
  • 貴賓價: 9.5$4,740
  • 語言: 英文
  • 頁數: 610
  • 裝訂: Quality Paper - also called trade paper
  • ISBN: 0387894853
  • ISBN-13: 9780387894850
  • 相關分類: 離散數學 Discrete-mathematics
  • 海外代購書籍(需單獨結帳)

商品描述

Number Theory is more than a comprehensive treatment of the subject. It is an introduction to topics in higher level mathematics, and unique in its scope; topics from analysis, modern algebra, and discrete mathematics are all included.

The book is divided into two parts. Part A covers key concepts of number theory and could serve as a first course on the subject. Part B delves into more advanced topics and an exploration of related mathematics. Part B contains, for example, complete proofs of the Hasse-Minkowski theorem and the prime number theorem, as well as self-contained accounts of the character theory of finite groups and the theory of elliptic functions. The prerequisites for this self-contained text are elements from linear algebra. Valuable references for the reader are collected at the end of each chapter. It is suitable as an introduction to higher level mathematics for undergraduates, or for self-study.

商品描述(中文翻譯)

數論不僅僅是對該主題的全面探討。它還是高級數學主題的入門,並且在其範疇上具有獨特性;包括分析、現代代數和離散數學的主題皆被涵蓋。

本書分為兩個部分。A部分涵蓋數論的關鍵概念,並可作為該主題的第一門課程。B部分則深入探討更高級的主題及相關數學的探索。B部分包含例如Hasse-Minkowski定理和質數定理的完整證明,以及有限群的角色理論和橢圓函數理論的自足性說明。這本自足的文本的先備知識為線性代數的基本元素。每章的末尾收集了對讀者有價值的參考資料。本書適合作為本科生高級數學的入門,或用於自學。