A Book of Abstract Algebra, 2/e (Paperback)
暫譯: 抽象代數書籍(第二版,平裝本)
Charles C Pinter
- 出版商: Dover Publications
- 出版日期: 2010-01-01
- 售價: $650
- 貴賓價: 9.8 折 $637
- 語言: 英文
- 頁數: 400
- 裝訂: Paperback
- ISBN: 0486474178
- ISBN-13: 9780486474175
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商品描述
Accessible but rigorous, this outstanding text encompasses all of the topics covered by a typical course in elementary abstract algebra. Its easy-to-read treatment offers an intuitive approach, featuring informal discussions followed by thematically arranged exercises. Intended for undergraduate courses in abstract algebra, it is suitable for junior- and senior-level math majors and future math teachers. This second edition features additional exercises to improve student familiarity with applications.
An introductory chapter traces concepts of abstract algebra from their historical roots. Succeeding chapters avoid the conventional format of definition-theorem-proof-corollary-example; instead, they take the form of a discussion with students, focusing on explanations and offering motivation. Each chapter rests upon a central theme, usually a specific application or use. The author provides elementary background as needed and discusses standard topics in their usual order. He introduces many advanced and peripheral subjects in the plentiful exercises, which are accompanied by ample instruction and commentary and offer a wide range of experiences to students at different levels of ability.
An introductory chapter traces concepts of abstract algebra from their historical roots. Succeeding chapters avoid the conventional format of definition-theorem-proof-corollary-example; instead, they take the form of a discussion with students, focusing on explanations and offering motivation. Each chapter rests upon a central theme, usually a specific application or use. The author provides elementary background as needed and discusses standard topics in their usual order. He introduces many advanced and peripheral subjects in the plentiful exercises, which are accompanied by ample instruction and commentary and offer a wide range of experiences to students at different levels of ability.
商品描述(中文翻譯)
這本卓越的教材在可接近性與嚴謹性之間取得了平衡,涵蓋了典型初級抽象代數課程的所有主題。其易於閱讀的處理方式提供了一種直觀的方法,包含非正式的討論,隨後是主題性安排的練習題。這本書旨在用於抽象代數的本科課程,適合大三和大四的數學專業學生以及未來的數學教師。第二版增加了額外的練習題,以提高學生對應用的熟悉度。
引言章節追溯了抽象代數概念的歷史根源。隨後的章節避免了傳統的定義-定理-證明-推論-例子的格式;相反,它們採取與學生討論的形式,專注於解釋並提供動機。每一章都圍繞一個中心主題,通常是特定的應用或用途。作者根據需要提供基本背景,並按照通常的順序討論標準主題。他在豐富的練習題中引入了許多進階和邊緣主題,這些練習題附有充分的指導和評論,為不同能力水平的學生提供了廣泛的經驗。