Title
Basic Abstract Algebra: For Graduate Students and Advanced Undergraduates (Dover Books on Mathematics),New
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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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- Q: How many pages does this book have? A: This book has four hundred thirty-two pages. It provides an in-depth discussion of abstract algebraic structures.
- Q: What is the size of this book? A: This book measures six point five inches in length, one inch in width, and nine point zero two inches in height. Its size makes it convenient for both reading and transport.
- Q: What type of binding does this book have? A: This book is paperback bound. This type of binding is lightweight and flexible, making it easy to handle.
- Q: Who is the author of this book? A: The author of this book is Robert B. Ash. He is a Professor of Mathematics at the University of Illinois.
- Q: What subjects does this book cover? A: This book covers fundamental algebraic structures and their applications. It is aimed at graduate students and advanced undergraduates.
- Q: What level of students is this book suitable for? A: This book is suitable for upper-level undergraduates and graduate students. It is designed to provide a thorough understanding of abstract algebra.
- Q: What are the main topics discussed in this book? A: The main topics include groups, rings, fields, modules, and Galois theory. It also examines applications in various fields of mathematics.
- Q: How does this book help with abstract algebra concepts? A: This book emphasizes intuitive thinking and the beauty of abstract algebra. It presents clear and concise proofs to aid understanding.
- Q: Are solutions to problems included in this book? A: Yes, solutions to all problems appear in the text. This feature helps students verify their understanding of the material.
- Q: Is this book in good condition? A: Yes, it is a used book in good condition. It has been well-preserved for continued use.
- Q: What should I do if the book arrives damaged? A: If the book arrives damaged, you should contact the seller for a return or replacement. Most sellers have policies in place for such situations.
- Q: Can I return this book if I am not satisfied? A: Yes, you can typically return this book if you are not satisfied, depending on the seller's return policy. Be sure to check the specific terms before purchasing.
- Q: Is this book appropriate for self-study? A: Yes, this book is appropriate for self-study. It provides clear explanations and solutions that facilitate independent learning.
- Q: Does this book include advanced topics in algebra? A: Yes, this book includes advanced topics such as homological algebra and algebraic number theory. It is suitable for those looking to deepen their knowledge.
- Q: What is the main focus of this book? A: The main focus is on understanding algebraic structures and their interrelations. It encourages students to appreciate the elegance of abstract algebra.
- Q: Is this book suitable for beginners? A: No, this book is not suitable for beginners. It is designed for those with a foundational understanding of mathematics.