Introduction to Algebra, 2/e (Paperback)
暫譯: 代數入門,第二版(平裝本)
Peter J. Cameron
- 出版商: Oxford University
- 出版日期: 2008-02-09
- 售價: $960
- 貴賓價: 9.8 折 $941
- 語言: 英文
- 頁數: 350
- 裝訂: Paperback
- ISBN: 0198527934
- ISBN-13: 9780198527930
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商品描述
Developed to meet the needs of modern students, this Second Edition of the classic algebra text by Peter Cameron covers all the abstract algebra an undergraduate student is likely to need. Starting with an introductory overview of numbers, sets and functions, matrices, polynomials, and modular arithmetic, the text then introduces the most important algebraic structures: groups, rings and fields, and their properties. This is followed by coverage of vector spaces and modules with applications to abelian groups and canonical forms before returning to the construction of the number systems, including the existence of transcendental numbers. The final chapters take the reader further into the theory of groups, rings and fields, coding theory, and Galois theory. With over 300 exercises, and web-based solutions, this is an ideal introductory text for Year 1 and 2 undergraduate students in mathematics.
商品描述(中文翻譯)
為了滿足現代學生的需求,彼得·卡梅隆(Peter Cameron)所著的經典代數教材第二版涵蓋了本科生可能需要的所有抽象代數內容。書中首先介紹了數字、集合和函數、矩陣、多項式以及模運算的概述,接著介紹了最重要的代數結構:群、環和域及其性質。隨後,書中涵蓋了向量空間和模,並應用於阿貝爾群和標準型,然後回到數系的構造,包括超越數的存在。最後幾章將讀者帶入群、環和域的理論、編碼理論以及伽羅瓦理論。書中提供了超過300道練習題和基於網路的解答,是一年級和二年級數學本科生的理想入門教材。