Contemporary Abstract Algebra, 10/e (Hardcover)

Gallian, Joseph A.

  • 出版商: CRC
  • 出版日期: 2020-12-30
  • 定價: $1,560
  • 售價: 9.5$1,482
  • 語言: 英文
  • 頁數: 635
  • 裝訂: Hardcover - also called cloth, retail trade, or trade
  • ISBN: 0367651785
  • ISBN-13: 9780367651787
  • 相關分類: 物理學 Physics
  • 立即出貨 (庫存=1)

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商品描述

Contemporary Abstract Algebra, Tenth Edition

For more than three decades, this classic text has been widely appreciated by instructors and students alike. The book offers an enjoyable read and conveys and develops enthusiasm for the beauty of the topics presented. It is comprehensive, lively, and engaging.

 

The author presents the concepts and methodologies of contemporary abstract algebra as used by working mathematicians, computer scientists, physicists, and chemists. Students will learn how to do computations and to write proofs. A unique feature of the book are exercises that build the skill of generalizing, a skill that students should develop but rarely do. Applications are included to illustrate the utility of the abstract concepts.

 

Examples and exercises are the heart of the book. Examples elucidate the definitions, theorems, and proof techniques; exercises facilitate understanding, provide insight, and develop the ability to do proofs. The exercises often foreshadow definitions, concepts, and theorems to come.

 

Changes for the tenth edition include new exercises, new examples, new quotes, and a freshening of the discussion portions. The hallmark features of previous editions of the book are enhanced in this edition. These include:

 

- A good mixture of approximately 1900 computational and theoretical exercises, including computer exercises, that synthesize concepts from multiple chapters

- Approximately 300 worked-out examples from routine computations to the challenging

- Many applications from scientific and computing fields and everyday life

- Historical notes and biographies that spotlight people and events

- Motivational and humorous quotations

- Numerous connections to number theory and geometry

 

While many partial solutions and sketches for the odd-numbered exercises appear in the book, an Instructor's Solutions Manual written by the author has comprehensive solutions for all exercises and some alternative solutions to develop a critical thought and deeper understanding. It is available from CRC Press only. The Student Solution Manual has comprehensive solutions for all odd-numbered exercises and many even-numbered exercises.

 

Author

 

Joseph A. Gallian earned his PhD from Notre Dame. In addition to receiving numerous national awards for his teaching and exposition, he has served terms as the Second Vice President, and the President of the MAA. He has served on 40 national committees, chairing ten of them. He has published over 100 articles and authored six books. Numerous articles about his work have appeared in the national news outlets, including the New York Times, the Washington Post, the Boston Globe, and Newsweek, among many others.

商品描述(中文翻譯)

《現代抽象代數,第十版》

三十多年來,這本經典教材一直受到教師和學生的廣泛讚賞。這本書提供了一個愉快的閱讀體驗,並傳達和培養對所呈現主題之美的熱情。它全面、生動且引人入勝。

作者以當代抽象代數的概念和方法為基礎,介紹了數學家、計算機科學家、物理學家和化學家所使用的方法。學生將學習如何進行計算和撰寫證明。本書的一個獨特特點是通過練習來培養泛化的能力,這是學生應該發展但很少做到的能力。書中還包含應用實例,以說明抽象概念的實用性。

例子和練習是本書的核心。例子闡明了定義、定理和證明技巧;練習有助於理解,提供洞察力,並培養證明的能力。這些練習通常預示著即將出現的定義、概念和定理。

第十版的改變包括新的練習題、新的例子、新的引文以及對討論部分的更新。本版增強了之前版本的特點,包括:

- 約1900個計算和理論練習的良好結合,包括計算機練習,綜合了多個章節的概念
- 約300個從常規計算到具有挑戰性的解題示例
- 多個來自科學、計算領域和日常生活的應用
- 強調人物和事件的歷史注釋和傳記
- 激勵人心和幽默的引言
- 許多與數論和幾何學的聯繫

雖然本書中有許多奇數練習的部分解答和草稿,但作者撰寫了一本全面解答所有練習題並提供一些替代解答以培養批判性思維和深入理解的《教師解答手冊》。該手冊僅在CRC Press提供。《學生解答手冊》則對所有奇數練習題和許多偶數練習題提供全面解答。

作者

Joseph A. Gallian獲得聖母大學的博士學位。除了多次獲得國家級教學和講解獎項外,他還擔任過美國數學協會的第二副主席和主席。他曾參與40個國家委員會的工作,其中10個他擔任主席。他發表了100多篇文章,並撰寫了六本書。關於他的工作的許多文章出現在國家新聞媒體上,包括《紐約時報》、《華盛頓郵報》、《波士頓環球報》和《新聞週刊》等。

作者簡介

Joseph A. Gallian earned his PhD from Notre Dame. In addition to receiving numerous national awards for his teaching and exposition, he has served terms as the Second Vice President, and the President of the MAA. He has served on 40 national committees, chairing ten of them. He has published over 100 articles and authored six books. Numerous articles about his work have appeared in the national news outlets, including the New York Times, the Washington Post, the Boston Globe, and Newsweek, among many others.

作者簡介(中文翻譯)

Joseph A. Gallian在聖母大學獲得博士學位。除了因其教學和講解而獲得多項國家級獎項外,他還曾擔任MAA的第二副主席和主席。他曾參與40個國家委員會的工作,其中10個擔任主席。他發表了100多篇文章,並撰寫了六本書。關於他的工作,許多文章出現在國家新聞媒體上,包括《紐約時報》、《華盛頓郵報》、《波士頓環球報》和《新聞週刊》等。