The book is designed for self study or "bridge courses" that prepare students finishing calculus for first courses in real variables and abstract algebra.Prompting students to do mathematics, not merely read about it, this interesting and uniquely enjoyable text prepares students for reading and writing proofs by having them do just that at the ...
For one-semester or two-semester undergraduate courses in Abstract Algebra.This new edition has been completely rewritten. The four chapters from the first edition are expanded, from 257 pages in first edition to 384 in the second. Two new chapters have been added: the first 3 chapters are a text for a one-semester course; the last 3 chapters are ...
With a wealth of examples as well as abundant applications to algebra, this is a must-read work: an easy-to-follow, step-by-step guide to homological algebra. The author provides a treatment of homological algebra which approaches the subject in terms of its origins in algebraic topology. In this brand new edition the text has been fully updated ...
For two-semester, beginning graduate-level courses in Algebra. The new "Bibles of Graduate Algebra." This text's organizing principle is the interplay between groups and rings, where "rings" includes the ideas of modules. It contains basic definitions, complete and clear proofs, and gives attention to the topics of algebraic geometry, Grobner ...
Anyone who has studied "abstract algebra" and linear algebra as an undergraduate can understand this book. This edition has been completely revised and reorganized, without however losing any of the clarity of presentation that was the hallmark of the previous editions. The first six chapters provide ample material for a first course: beginning ...
Lively, full-color photographs detail the extraordinary creatures that transform the night-time coral reef into a beautiful realm where bioluminescence is the only natural form of light. Includes a how-to section on night-diving and underwater photography. Index. 110 color plates.
This text introduces students to the algebraic concepts of group and rings, providing a comprehensive discussion of theory as well as a significant number of applications for each.
This text offers a clear, efficient exposition of Galois Theory with complete proofs and exercises. Topics include: cubic and quartic formulas; Fundamental Theory of Galois Theory; insolvability of the quintic; Galois's Great Theorem (solvability by radicals of a polynomial is equivalent to solvability of its Galois Group); and computation of ...
This book is a clear exposition, with exercises, of the basic ideas of algebraic topology: homology (singular, simplicial, and cellular), homotopy groups, and cohomology rings. It is suitable for a two-semester course at the beginning graduate level, requiring as a prerequisite a knowledge of point set topology and basic algebra. Although ...
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