Basic Abstract Algebra: For Graduate Students And Advanced Undergraduates (Dover Books On Mathematics)

Basic Abstract Algebra: For Graduate Students And Advanced Undergraduates (Dover Books On Mathematics)

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Geared Toward Upperlevel Undergraduates And Graduate Students, This Text Surveys Fundamental Algebraic Structures And Maps Between These Structures. Its Techniques Are Used In Many Areas Of Mathematics, With Applications To Physics, Engineering, And Computer Science As Well. Author Robert B. Ash, A Professor Of Mathematics At The University Of Illinois, Focuses On Intuitive Thinking. He Also Conveys The Intrinsic Beauty Of Abstract Algebra While Keeping The Proofs As Brief And Clear As Possible.The Early Chapters Provide Students With Background By Investigating The Basic Properties Of Groups, Rings, Fields, And Modules. Later Chapters Examine The Relations Between Groups And Sets, The Fundamental Theorem Of Galois Theory, And The Results And Methods Of Abstract Algebra In Terms Of Algebraic Number Theory, Algebraic Geometry, Noncommutative Algebra, And Homological Algebra, Including Categories And Functors. An Extensive Supplement To The Text Delves Much Further Into Homological Algebra Than Most Introductory Texts, Offering Applicationsoriented Results. Solutions To All Problems Appear In The Text.

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Frequently Asked Questions

  • Q: What topics are covered in Basic Abstract Algebra? A: Basic Abstract Algebra covers fundamental algebraic structures such as groups, rings, fields, and modules, alongside their interrelations and applications in various areas, including algebraic number theory and algebraic geometry.
  • Q: Is this book suitable for beginners in abstract algebra? A: This book is geared towards upper-level undergraduates and graduate students, making it more suitable for those with some foundational knowledge in abstract algebra rather than absolute beginners.
  • Q: Who is the author of Basic Abstract Algebra? A: The author of Basic Abstract Algebra is Robert B. Ash, a Professor of Mathematics at the University of Illinois.
  • Q: What is the condition of the book? A: The book is listed as 'New' condition, ensuring that it is in pristine condition for readers.
  • Q: How many pages does Basic Abstract Algebra have? A: Basic Abstract Algebra consists of 432 pages, providing comprehensive coverage of the subject matter.
  • Q: What type of binding does this book have? A: The book is available in paperback binding, which is lightweight and flexible for easy handling.
  • Q: When was Basic Abstract Algebra published? A: Basic Abstract Algebra was published on December 1, 2006.
  • Q: Does the book provide solutions to problems? A: Yes, Basic Abstract Algebra includes solutions to all problems directly within the text, enhancing the learning experience.
  • Q: What makes this book unique compared to other abstract algebra texts? A: This book features a focus on intuitive thinking and a clear presentation of proofs, along with an extensive supplement on homological algebra that goes deeper than most introductory texts.
  • Q: What is the primary audience for this book? A: The primary audience for Basic Abstract Algebra includes graduate students and advanced undergraduates who are studying mathematics.