This book is the second part of the new edition of Advanced Modern Algebra (the first part published as Graduate Studies in Mathematics, Volume 165). Compared to the previous edition, the material has been significantly reorganized and many sections have been rewritten. The book presents many topics mentioned in the first part in greater depth and in more detail. The five chapters of the book are devoted to group theory, representation theory, homological algebra, categories, and commutative algebra, respectively. The book can be used as a text for a second abstract algebra graduate course, as a source of additional material to a first abstract algebra graduate course, or for self-study.
This new edition, now in two parts, has been significantly reorganised and many sections have been rewritten.
Key topics and features of Advanced Algebra: *Topics build upon the linear algebra, group theory, factorization of ideals, structure of fields, Galois theory, and elementary theory of modules as developed in Basic Algebra *Chapters treat ...
(65191-6) LINEAR PROGRAMMING AND ECONOMIC ANALYSIS, Robert Dorfman, Paul A. Samuelson and Robert M. Solow. (65491-5) THEORY OF H" SPACES, ... (65499-0) FOUNDATIONS 0F MODERN ANALYSIS, Avner Friedman. (64062-0) TECHNICAL CALCULUS wrrH ...
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...
Covers a notably broad range of topics, including some topics not generally found in linear algebra books Contains a discussion of the basics of linear algebra This is a graduate textbook covering an especially broad range of topics.
... O: Valuation Theory Erez, B.: Galois Modules in Arithmetic Everest, G.; Ward, T: Heights of Polynomials and Entropy in Algebraic Dynamics Farenick, D. R.: Algebras of Linear Transformations Foulds, L. R.: Graph Theory Applications ...
Brief, clear, and well written, this introductory treatment bridges the gap between traditional and modern algebra. Includes exercises with complete solutions. The only prerequisite is high school-level algebra. 1959 edition.
Accessible but rigorous, this outstanding text encompasses all of the topics covered by a typical course in elementary abstract algebra.
This treatment covers the mechanics of writing proofs, the area and circumference of circles, and complex numbers and their application to real numbers. 1998 edition.
... within a 4 x 4 square matrix : 2 1 1 0 0 0 0 1 0 0 1 1 0 0 0 1 0 0 0 a 0 0 0 0 0 0 0 10 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 1 1 0 0 1 0 0 0 1 0 0 0 10 0 a 1 0 0 0 1 0 0 0 1 0 0 0 2 The Jordan canonical form clarifies the difference ...