Contemporary abstract algebra
著者
書誌事項
Contemporary abstract algebra
Chapman & Hall/CRC, c2021
10th ed.
- hbk.
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
Now in it's Tenth Edition, we acquire this course-market leader from Cengage US. Through the first nine editions, this has become the leading seller for the undergraduate Abstract Algebra course worldwide. The rollover potential alone is nearly 10,000 copies and might be more. Abstract Algebra is taught at every four year college and university with a mathematics department throughout the world. There are two primary audiences, mathematics majors and education majors hoping to teach. Both take this course, often together.
* Best-seller in US, Canada, ROW
* Author is now famous for this book, very active in US mathematics organizations including AMS and former president of MAA.
* Book is known for motivational exposition, excellent and thorough exercises (much more than typically found in CRC textbooks), and alternative solutions to promote a range of approaches
* Best seller since 3-4 edition
* The full list of reviews since publication is well into the hundreds.
目次
- 1 Introduction to Groups 2 Groups 3 Finite Groups
- Subgroups 4 Cyclic Groups 5 Permutation Groups 6 Ismorphisms 7 Cosets and Lagrange's Theorem 8 External Direct Products 9 Normal Subgroups and Factor Groups 10 Group Homomorphisms 11 Fundamental Theorem of Finite Abelian Groups 12 Introduction to Rings 13 Integral Domains 14 Ideals and Factor Rings 15 Ring Homomorphisms 16 Polynomial Rings 17 Factorization of Polynomials 18 Divisibilty in Integral Domains 19 Extension Fields 20 Algebraic Extensions 21 Finite Fields 22 Geometric Constructions 23 Sylow Theorems 24 Finite Simple Groups 25 Generators and Relations 26 Symmetry Groups 27 Symmetry and Counting 28 Cayley Digraphs of Groups 29 Introduction to Algebraic Coding Theory 30 An Introduction to Galois Theory 31 Cyclotomic Extensions
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