Title
Basic Abstract Algebra,New
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This Is A Selfcontained Text On Abstract Algebra For Senior Undergraduate And Senior Graduate Students, Which Gives Complete And Comprehensive Coverage Of The Topics Usually Taught At This Level. The Book Is Divided Into Five Parts. The First Part Contains Fundamental Information Such As An Informal Introduction To Sets, Number Systems, Matrices, And Determinants. The Second Part Deals With Groups. The Third Part Treats Rings And Modules. The Fourth Part Is Concerned With Field Theory. Much Of The Material In Parts Ii, Iii, And Iv Forms The Core Syllabus Of A Course In Abstract Algebra. The Fifth Part Goes On To Treat Some Additional Topics Not Usually Taught At The Undergraduate Level, Such As The Wedderburnartin Theorem For Semisimple Artinian Rings, Noetherlasker Theorem, The Smithnormal Form Over A Pid, Finitely Generated Modules Over A Pid And Their Applications To Rational And Jordan Canonical Forms And The Tensor Products Of Modules. Throughout, Complete Proofs Have Been Given For All Theorems Without Glossing Over Significant Details Or Leaving Important Theorems As Exercises. In Addition, The Book Contains Many Examples Fully Worked Out And A Variety Of Problems For Practice And Challenge. Solution To The Oddnumbered Problems Are Provided At The End Of The Book To Encourage The Student In Problem Solving. This New Edition Contains An Introduction To Categories And Functors, A New Chapter On Tensor Products And A Discussion Of The New (1993) Approach To The Celebrated Noetherlasker Theorem. In Addition, There Are Over 150 New Problems And Examples.
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- Q: How many pages does the book have? A: The book contains five hundred pages. This makes it a comprehensive resource for students studying abstract algebra.
- Q: What is the binding type of the book? A: The binding type is paperback. This allows for easier handling and portability for students.
- Q: Who is the author of 'Basic Abstract Algebra'? A: The author is P.B. Bhattacharya. His expertise in abstract algebra is reflected in the book's thorough content.
- Q: What topics are covered in this book? A: The book covers fundamental topics in abstract algebra, including groups, rings, modules, and field theory. It also discusses advanced topics not usually covered at the undergraduate level.
- Q: Is this book suitable for beginners? A: No, this book is designed for senior undergraduate and graduate students. It assumes a certain level of prior knowledge in mathematics.
- Q: How do I use this book for studying? A: You can use this book as a primary textbook for your abstract algebra course. It includes many worked examples and problems for practice.
- Q: Are there solutions to the problems in the book? A: Yes, solutions to the odd-numbered problems are provided at the end of the book. This encourages problem-solving practice.
- Q: What level of students is this book intended for? A: This book is intended for senior undergraduate and graduate students. It provides comprehensive coverage of advanced algebra topics.
- Q: How should I store this book to keep it in good condition? A: Store the book in a cool, dry place away from direct sunlight. This will help preserve the binding and pages.
- Q: Is this book safe for children? A: No, this book is not specifically designed for children. It covers complex mathematical concepts suitable for older students.
- Q: What if the book arrives damaged? A: If the book arrives damaged, you should contact the seller for return or exchange options. Always check the return policy before purchasing.
- Q: Can I find additional exercises in the book? A: Yes, the book contains over one hundred fifty new problems and examples for additional practice. This enhances the learning experience.
- Q: Is the book updated with recent theories? A: Yes, the new edition includes discussions on the latest approaches to theories like the Noether-Lasker theorem. It keeps the content current.
- Q: How comprehensive is the coverage of abstract algebra? A: The coverage is complete and comprehensive, addressing fundamental and advanced topics in abstract algebra. It serves as a complete guide for the subject.
- Q: What is the size of the book? A: The book measures six point fourteen inches in length, one point twenty-seven inches in width, and nine point twenty-one inches in height. This makes it a standard size for textbooks.
- Q: Is there a specific audience for this book? A: Yes, the book targets students and educators in mathematics, particularly those focusing on abstract algebra. It is suitable for academic use.