Basic Abstract Algebra For Graduate Students and Advanced Undergraduates

Product Description

This survey of fundamental algebraic structures employs techniques applicable to mathematics, physics, engineering, and computer science. Topics include relations between groups and sets, the fundamental theorem of Galois theory, and the results and methods of abstract algebra in terms of number theory, geometry, and noncommutative and homological algebra. Solutions. 2006 edition. PREFACE REMARKS ON EXPOSITORY WRITING IN MATHEMATICSixCHAPTER 0 PREREQUISITES0.1 Elementary Number Theory1(2)0.2 Set Theory3(2)0.3 Linear Algebra5(2)CHAPTER 1 GROUP FUNDAMENTALS1.1 Groups and Subgroups7(4)1.2 Permutation Groups11(3)1.3 Cosets, Normal Subgroups and Homomorphisms14(6)1.4 The Isomorphism Theorems20(5…