Basic Algebra II (Dover Books on Mathematics)

📘 Book Details

• Publisher: Dover

• Author: Nathan Jacobson

• Language: English

• Edition: 2nd Edition

• ISBN: 9780486471877

• Pages: 704

• Cover: Paperback

• Dimensions: 9.2 x 6.1 x 1.5 inches

📝 About The Book

Basic Algebra II by Nathan Jacobson is the definitive continuation of one of the most respected and enduring texts in abstract algebra. Written by a legendary mathematician and long-time Yale professor, this second volume is tailored for advanced undergraduates and graduate students seeking an in-depth, rigorous understanding of higher algebraic structures.

Building on the foundations laid in Basic Algebra I, this volume covers topics standard to a first-year graduate algebra course, including categories and functors, universal algebra, module theory, ring structure theory, commutative ideal theory, homological algebra, formally real fields, and classical representation theory of finite groups. Jacobson’s approach is theoretical and concept-driven, offering sophisticated insights supported by clear, elegant proofs and thoughtfully constructed exercises throughout.

This edition emphasizes the modern language of algebra by integrating category theory early and consistently across topics, equipping students with the tools required for advanced mathematical discourse. The text revisits key themes from Volume I with enhanced depth, making it not just a standalone volume but a powerful complement to its predecessor.

Ideal for use in graduate-level coursework or as a scholarly reference, Basic Algebra II stands as a pillar of mathematical literature, invaluable for anyone looking to master the conceptual and technical core of modern algebra.