Book of Abstract Algebra

Name: Book of Abstract Algebra
Price: 43.07 USD
Availability: InStock
ISBN: 9780072943504

ISBN-10: 0072943505

ISBN-13: 9780072943504

Edition: 2nd 1990

Authors: Charles C. Pinter

List price: $224.67

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Book details

List price: $224.67
Edition: 2nd
Copyright year: 1990
Publisher: McGraw-Hill Higher Education
Publication date: 5/6/2003
Binding: Paperback
Size: 6.00" wide x 9.00" long x 0.75" tall
Weight: 1.232




Why Abstract Algebra?



Operations



The Definition of Groups



Elementary Properties of Groups



Subgroups



Functions



Groups of Permutations



Permutations of a Finite Set



Isomorphism



Order of Group Elements



Cyclic Groups



Partitions and Equivalence Relations



Counting Cosets



Homomorphisms



Quotient Groups



The Fundamental Homomorphism Theorem



Rings: Definitions and Elementary Properties



Ideals and Homomorphisms



Quotient Rings



Integral Domains



The Integers



Factoring into Primes



Elements of Number Theory (Optional)



Rings of Polynomials



Factoring Polynomials



Substitution in Polynomials



Extensions of Fields



Vector Spaces



Degrees of Field Extensions



Ruler and Compass



Galois Theory: Preamble



Galois Theory: The Heart of the Matter



Solving Equations by Radicals



Review of Set Theory



Review of the Integers



Review of Mathematical Induction Answers


Selected Exercises


Index