In one exceptional volume, Abstract Algebra covers subject matter typically taught over the course of two or three years and offers a self-contained presentation, detailed definitions, and excellent chapter-matched exercises to smooth the trajectory of learning algebra from zero to one. Field-tested through advance use in the ERASMUS educational project in Europe, this ambitious, comprehensive book includes an original treatment of representation of finite groups that avoids the use of semisimple ring theory and explains sets, maps, posets, lattices, and other essentials of the algebraic language; Peano's axioms and cardinality; groupoids, semigroups, monoids, groups; and normal subgroups.
Accessible but rigorous, this outstanding text encompasses all of the topics covered by a typical course in elementary abstract algebra.
Lucid coverage of the major theories of abstract algebra, with helpful illustrations and exercises included throughout. Unabridged, corrected republication of the work originally published 1971. Bibliography. Index.
Abstract Algebra
The first half of the book presents group theory, through the Sylow theorems, with enough material for a semester-long course.
This book explores the history of abstract algebra.
Widely acclaimed algebra text. This book is designed to give the reader insight into the power and beauty that accrues from a rich interplay between different areas of mathematics. The...
[1928] Krull, W., Primidealketten in allgemeinen Ringbereichen, Sitz. Heidelberg Akad. Wiss. 1928, No. 7. [1932] Krull, W., Allgemeine Bewertungstheorie, J. reine angew. Math. 167 (1932), 160–196. [1922] Kuratowski, C., Une m ́ethode d' ...
Excellent textbook provides undergraduates with an accessible introduction to the basic concepts of abstract algebra and to the analysis of abstract algebraic systems. Features many examples and problems.
The Second Edition of this classic text maintains the clear exposition, logical organization, and accessible breadth of coverage that have been its hallmarks.
This is a beautiful, profound, and useful field which is part of the shared language of many areas both within and outside of mathematics. To begin this journey of discovery, some experience with mathematical reasoning is beneficial.