Algebra: Volume II: Fields with Structure, Algebras and Advanced Topics
暫譯: 代數:第二卷:結構域、代數與進階主題

Lorenz, Falko, Levy, Silvio

  • 出版商: Springer
  • 出版日期: 2007-12-27
  • 售價: $2,820
  • 貴賓價: 9.5$2,679
  • 語言: 英文
  • 頁數: 340
  • 裝訂: Quality Paper - also called trade paper
  • ISBN: 0387724877
  • ISBN-13: 9780387724874
  • 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

This is Volume II of a two-volume introductory text in classical algebra. The text moves methodically with numerous examples and details so that readers with some basic knowledge of algebra can read it without difficulty. It is recommended either as a textbook for some particular algebraic topic or as a reference book for consultations in a selected fundamental branch of algebra. The book contains a wealth of material. Amongst the topics covered in Volume are the theory of ordered fields and Nullstellen-theorems. Known researcher Lorenz also includes the fundamentals of the theory of quadratic forms, of valuations, local fields and modules. What's more, the book contains some lesser known or nontraditional results - for instance, Tsen's results on the solubility of systems of polynomial equations with a sufficiently large number of indeterminates. These two volumes constitute a very good, readable and comprehensive survey of classical algebra and present a valuable contribution to the literature on this subject.

商品描述(中文翻譯)

這是兩卷本的古典代數入門教材的第二卷。該文本以系統化的方式進行,並提供了大量的範例和細節,使得具備基本代數知識的讀者能夠輕鬆閱讀。建議將其作為某個特定代數主題的教科書,或作為查詢某個基本代數分支的參考書。這本書包含了豐富的材料。在第二卷中涵蓋的主題包括有序域的理論和Nullstellen定理。知名研究者Lorenz還包括了二次型理論、估值、局部域和模的基本概念。此外,這本書還包含一些較不為人知或非傳統的結果,例如Tsen關於具有足夠多不確定數的多項式方程組可解性的結果。這兩卷本構成了古典代數的一個非常好的、可讀性強且全面的概述,並對該主題的文獻做出了寶貴的貢獻。