The Rules of Algebra: (Ars Magna) by Girolamo Cardano First published in 1545, this cornerstone in the history of mathematics contains the first revelation of the principles for solving cubic and biquadratic equations. Excellent translation, adapted to modern mathematical syntax.
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|  | Basic Algebra II: Second Edition by Nathan Jacobson This classic text and standard reference comprises all subjects of a first-yeargraduate-level course, including in-depth coverage of groups and polynomials and extensive use of categories and functors. 1989 edition.
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|  | Abstract Lie Algebras by David J Winter Solid but concise, this account emphasizes Lie algebra's simplicity of theory, offering new approaches to major theorems and extensive treatment of Cartan and related Lie subalgebras over arbitrary fields. 1972 edition.
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Algebraic Topology: Homology and Cohomology by Andrew H. Wallace This self-contained treatment studies several algebraic invariants: the fundamental group, singular and Cech homology groups, and a variety of cohomology groups. Extensive appendixes review background material. 1970 edition.
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|  | An Introduction to Algebraic Topology by Andrew H. Wallace This self-contained treatment begins with three chapters on the basics of point-set topology, after which it proceeds to homology groups and continuous mapping, barycentric subdivision, and simplicial complexes. 1961 edition.
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Boolean Algebra by R. L. Goodstein This elementary treatment by a distinguished mathematician employs Boolean algebra as a simple medium for introducing important concepts of modern algebra. Numerous examples appear throughout the text, plus full solutions.
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Semi-Simple Lie Algebras and Their Representations by Robert N. Cahn Designed to acquaint students of particle physics already familiar with SU(2) and SU(3) with techniques applicable to all simple Lie algebras, this text is especially suited to the study of grand unification theories. 1984 edition.
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|  | Lie Groups, Lie Algebras, and Some of Their Applications by Robert Gilmore This text introduces upper-level undergraduates to Lie group theory and physical applications. It further illustrates Lie group theory's role in several fields of physics. 1974 edition. Includes 75 figures and 17 tables, exercises and problems.
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|  | Algebraic Geometry by Solomon Lefschetz An introduction to algebraic geometry and a bridge between its analytical-topological and algebraical aspects, this text for advanced undergraduate students is particularly relevant to those more familiar with analysis than algebra. 1953 edition.
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Linear Algebra and Projective Geometry by Reinhold Baer Geared toward upper-level undergraduates and graduate students, this text establishes that projective geometry and linear algebra are essentially identical. The supporting evidence consists of theorems offering an algebraic demonstration of certain geometric concepts. 1952 edition.
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|  | Linear Algebra and Geometry: A Second Course by Irving Kaplansky The author of this text seeks to remedy a common failing in teaching algebra: the neglect of related instruction in geometry. This volume features examples, exercises, and proofs. 1974 edition.
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Algebraic Number Theory by Edwin Weiss Ideal either for classroom use or as exercises for mathematically-minded individuals, this text introduces elementary valuation theory, extension of valuations, local and ordinary arithmetic fields, and global, quadratic, and cyclotomic fields.
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|  | Algebraic Topology by C. R. F. Maunder Thorough, modern treatment, essentially from a homotopy theoretic viewpoint. Topics include homotopy and simplicial complexes, the fundamental group, homology theory, homotopy theory, homotopy groups and CW-Complexes, and other topics. Includes exercises. Bibliography. 1980 corrected edition.
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Challenging Problems in Algebra by Alfred S. Posamentier, Charles T. Salkind Over 300 unusual problems, ranging from easy to difficult, involving equations and inequalities, Diophantine equations, number theory, quadratic equations, logarithms, more. Detailed solutions, as well as brief answers, for all problems are provided.
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|  | Modern Algebra by Seth Warner Standard text provides an exceptionally comprehensive treatment of every aspect of modern algebra. Explores algebraic structures, rings and fields, vector spaces, polynomials, linear operators, much more. Over 1,300 exercises. 1965 edition.
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Lectures on Linear Algebra by I. M. Gel’fand Prominent Russian mathematician's concise, well-written exposition considers: n-dimensional spaces, linear and bilinear forms, linear transformations, canonical form of an arbitrary linear transformation, introduction to tensors, more. 1961 edition.
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|  | Matrices and Linear Algebra by Hans Schneider, George Phillip Barker Basic textbook covers theory of matrices and its applications to systems of linear equations and related topics such as determinants, eigenvalues and differential equations. Includes numerous exercises.
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|  | Elements of Abstract Algebra by Allan Clark 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. Includes 24 tables and figures.
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Fundamental Concepts of Algebra by Bruce E. Meserve Presents the fundamental concepts of algebra illustrated by numerous examples, and in many cases, suitable sequences of exercises — without solutions. Preface. Index. Bibliography. 39 figures.
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|  | Lie Algebras by Nathan Jacobson Definitive treatment of important subject in modern mathematics. Covers split semi-simple Lie algebras, universal enveloping algebras, classification of irreducible modules, automorphisms, simple Lie algebras over an arbitrary field, etc. Index.
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