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Abstract Algebra 1 Draft Edition by Paul Garrett ISBN 9781584886907 1584886900

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Abstract Algebra 1, Draft Edition Paul B. Garrett Digital Instant Download

Author(s): Paul B. Garrett
ISBN(s): 9781584886907, 1584886900
Edition: 1, Draft
File Details: PDF, 2.18 MB
Year: 2007
Language: english
SKU: EB-2043222 Category: Tag:

Abstract Algebra 1, Draft Edition by Paul B. Garrett – Ebook PDF Instant Download/Delivery:9781584886907,  1584886900  
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Product details: 

ISBN 10:  1584886900  

ISBN 13: 9781584886907

Author: Paul B. Garrett

Designed for an advanced undergraduate- or graduate-level course, Abstract Algebra provides an example-oriented, less heavily symbolic approach to abstract algebra. The text emphasizes specifics such as basic number theory, polynomials, finite fields, as well as linear and multilinear algebra. This classroom-tested, how-to manual takes a more narra

Table of contents: 

Chapter 1. The Integers
Chapter 2. Groups I
Chapter 3. Rings, Fields, etc.
Chapter 4. Commutative Rings I
Chapter 5. Dimension
Chapter 6. Some Irreducible Polynomials
Chapter 7. Cyclotomic Polynomials
Chapter 8. Finite Fields
Chapter 9. Modules over PIDs
Chapter 10. Finitely Generated Modules
Chapter 11. Polynomials over UFDs
Chapter 12. Symmetric Groups
Chapter 13. Naive Set Theory
Chapter 14. Symmetric Polynomials
Chapter 15. Eisenstein’s Criterion
Chapter 16. Vandermonde Determinants
Chapter 17. Cyclotomic Polynomials II
Chapter 18. Roots of Unity
Chapter 19. Cyclotomic III
Chapter 20. Primes in Arithmetic Progressions
Chapter 21. Galois Theory
Chapter 22. Solving Equations by Radicals
Chapter 23. Eigenvectors and Spectral Theorems
Chapter 24. Duals, Naturality, Bilinear Forms
Chapter 25. Determinants I
Chapter 26. Tensor Products
Chapter 27. Exterior Powers

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