Group Theory

Khattar, Dinesh, Agrawal, Neha

Group Theory
  • 出版商: Springer
  • 出版日期: 2023-06-30
  • 售價: $3,750
  • 貴賓價: 9.5 折 $3,563
  • 語言: 英文
  • 頁數: 329
  • 裝訂: Hardcover - also called cloth, retail trade, or trade
  • ISBN: 3031213068
  • ISBN-13: 9783031213069

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商品描述

This textbook focuses on the basics and complex themes of group theory taught to senior undergraduate mathematics students across universities. The contents focus on the properties of groups, subgroups, cyclic groups, permutation groups, cosets and Lagrange's theorem, normal subgroups and factor groups, group homomorphisms and isomorphisms, automorphisms, direct products, group actions and Sylow theorems. Pedagogical elements such as end of chapter exercises and solved problems are included to help understand abstract notions. Intermediate lemmas are also carefully designed so that they not only serve the theorems but are also valuable independently. The book is a useful reference to undergraduate and graduate students besides academics.

商品描述(中文翻譯)

本教科書專注於群論的基礎和複雜主題，適用於各大學高年級的數學本科生。內容主要涵蓋群的性質、子群、循環群、置換群、陪集和Lagrange定理、正規子群和商群、群同態和同構、自同態、直積、群作用和Sylow定理等。為了幫助理解抽象概念，書中還包含了章末練習題和解題示例等教學元素。中間引理的設計也非常謹慎，不僅可以用於證明定理，而且本身也具有獨立的價值。除了學術界，本書還是本科和研究生學生的有用參考資料。

作者簡介

Dinesh Khattar, Ph.D., is a professor in the Department of Mathematics, Kirori Mal College, University of Delhi, India. He also served as the Principal of Kirori Mal College from 2015 to 2018. He is a topper (Gold Medalist) in his B.Sc. and M.Sc. exams. He received Dr. S. Radhakrishnan Memorial National Teachers Award 2015 for the contribution in the field of education. He has also been awarded prestigious Commonwealth Scholarship for pursuing research in UK. He is actively involved in research and presented papers in prestigious international conferences across several countries. Dr. Khattar has been a member of curriculum development committee for B.Sc. and M.Sc. programs in various universities including University of Delhi. He is also an author of many books on mathematics.

Neha Agrawal has completed her graduation and post-graduation degrees from Kirori Mal College, University of Delhi, India. She has done her M.Phil. and Ph.D. from University of Delhi. Her area of interest is nonlinear dynamical systems and chaos theory. She has been working as an assistant professor in the Department of Mathematics, Kirori Mal College since 2012. She has teaching experience of 12 years. She has published number of research papers in international journals.

作者簡介(中文翻譯)

Dinesh Khattar博士是印度德里大學Kirori Mal學院數學系的教授。他還曾擔任Kirori Mal學院的校長，任期從2015年到2018年。他在B.Sc.和M.Sc.考試中都是優等生（金牌得主）。他因在教育領域的貢獻而獲得了2015年S. Radhakrishnan紀念國家教師獎。他還獲得了在英國進行研究的著名英聯邦獎學金。他積極參與研究並在多個國家的著名國際會議上發表論文。Khattar博士曾擔任包括德里大學在內的多個大學的B.Sc.和M.Sc.課程發展委員會的成員。他還是數學書籍的作者。

Neha Agrawal在印度德里大學Kirori Mal學院完成了學士和碩士學位。她在德里大學獲得了M.Phil.和博士學位。她的研究興趣是非線性動力系統和混沌理論。自2012年以來，她一直在Kirori Mal學院數學系擔任助理教授。她有12年的教學經驗，並在國際期刊上發表了多篇研究論文。

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