Recommended Resources in Abstract Algebra
DOI link for Recommended Resources in Abstract Algebra
Recommended Resources in Abstract Algebra book
I. General Algebra 150A. Elementary texts 150B. General texts 151C. Major journals and article sources 152D. Supplements: reference tools, study guides, etc. 152II. Ring Theory and Modules 153A. Elementary texts 153B. General texts 153C. Historically important texts 154III. Linear Algebra 154A. Elementary texts 154B. General texts 154C. Multilinear algebra 155IV. Groups 155A. General texts 155B. Simple groups 156C. Abelian groups 156D. Topological groups 156V. Commutative Algebra 157A. Introductory books 157 149
B. General texts 157C. Special topics 158VI. Field Theory 158A. General texts (including Galois Theory) 158B. Local fields 159C. Finite fields 160VII. Homological Algebra 160A. Introductory texts 160B. General texts 160C. Categories 161D. Derived categories 161E. Spectral sequences 162VIII. Lie Algebras 162 IX. Coalgebras, Bialgebras, and Hopf Algebras 163X. Sheaves 163
Algebra is one of the oldest branches of mathematics, but since the development of the axiomatic method it has especially flourished. It now serves as a tool in almost every branch of both pure and applied mathematics and is rich in results and problems in its own right. By its clarity and the simplicity of some of the axioms of its basic structures, it has a particular appeal to certain mentalities.The resources that will be discussed in this chapter cover a range of topics in algebra and related fields. An attempt will be made to identify those resources that enable the beginner and even the more adept to acquire some basic knowledge and appreciation of the field. A particular effort has been made to recommend those books and sources that best communicate what might be called the spirit of algebra.