Contemporary Abstract Algebra
暫譯: 當代抽象代數
Gallian, Joseph
- 出版商: CRC
- 出版日期: 2025-06-20
- 售價: $3,910
- 貴賓價: 9.5 折 $3,715
- 語言: 英文
- 頁數: 542
- 裝訂: Hardcover - also called cloth, retail trade, or trade
- ISBN: 1032778911
- ISBN-13: 9781032778914
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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
Contemporary Abstract Algebra, Eleventh Edition is intended for a course whose main purpose is to enable students to do computations and write proofs. This text stresses the importance of obtaining a solid introduction to the traditional topics, while at the same time presenting abstract algebra as a contemporary and very much active subject, which is currently being used by working physicists, chemists, and computer scientists.
For nearly four 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.
Students will learn how to do computations and 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.
Examples elucidate the definitions, theorems, and proof techniques; exercises facilitate understanding, provide insight, and develop the ability to do proofs. 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 appearing in each chapter that synthesize concepts from multiple chapters
- Back-of-the-book skeleton solutions and hints to odd-numbered exercises
- Over 300 worked-out examples ranging from routine computations to the more challenging
- Links to interactive True/False questions with comments
- Links to computer exercises that utilize interactive software available on the author's website, stressing guessing and making conjectures
- Many applications from scientific and computing fields, as well as some from everyday life
- Numerous historical notes and biographies that spotlight the people and events behind the mathematics
- Motivational and humorous quotations
- Hundreds of figures, photographs, and tables
Changes to the eleventh edition include new exercises, examples, biographies, and quotes, and an enrichment of the discussion portions. These changes accentuate and enhance the hallmark features that have made previous editions of the book a comprehensive, lively, and engaging introduction to the subject.
While many partial solutions and sketches for the odd-numbered exercises appear in the book, an Instructor's Solutions Manual offers solutions for all the exercises. A Student's Solution Manual has comprehensive solutions for all odd-numbered exercises, many even-numbered exercises, and numerous alternative solutions as well.
商品描述(中文翻譯)
《當代抽象代數,第十一版》旨在為一門課程提供教材,其主要目的是使學生能夠進行計算和撰寫證明。本書強調獲得對傳統主題的堅實介紹的重要性,同時將抽象代數呈現為一個當代且活躍的學科,該學科目前正被物理學家、化學家和計算機科學家所使用。
近四十年來,這本經典教材受到教師和學生的廣泛讚譽。這本書提供了愉快的閱讀體驗,並傳達和培養對所呈現主題之美的熱情。它內容全面、生動且引人入勝。
學生將學會如何進行計算和撰寫證明。本書的一個獨特特點是練習題,這些練習題培養學生概括的能力,這是一項學生應該發展但卻很少做到的技能。
範例闡明了定義、定理和證明技術;練習題促進理解、提供洞見並發展證明的能力。本書前幾版的標誌性特徵在本版中得到了增強,包括:
- 每章中約1900個計算和理論練習題的良好混合,綜合了多章的概念
- 書末的骨架解答和奇數練習題的提示
- 超過300個從常規計算到更具挑戰性的範例
- 互動式是非題的鏈接及其評論
- 利用作者網站上可用的互動軟體的計算機練習題鏈接,強調猜測和提出假設
- 來自科學和計算領域的許多應用,以及一些日常生活中的應用
- 許多歷史註解和傳記,突顯數學背後的人物和事件
- 激勵人心和幽默的名言
- 數百幅圖形、照片和表格
第十一版的變更包括新的練習題、範例、傳記和名言,以及對討論部分的豐富。這些變更強調並增強了使前幾版成為該主題全面、生動且引人入勝的介紹的標誌性特徵。
雖然書中出現了許多奇數練習題的部分解答和草圖,但《教師解答手冊》提供了所有練習題的解答。《學生解答手冊》則對所有奇數練習題、許多偶數練習題以及多個替代解答提供了全面的解答。
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 president of the Mathematical Association of America, published more than100 articles, and authored six books. Numerous articles about his work have appeared in 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)
約瑟夫·A·蓋利安於聖母大學獲得博士學位。除了因其教學和講解獲得多項全國性獎項外,他還曾擔任美國數學協會的第二副會長和會長,發表了超過100篇文章,並著有六本書籍。關於他工作的多篇文章曾出現在全國性新聞媒體上,包括紐約時報、華盛頓郵報、波士頓環球報和新聞週刊等多個媒體。