|Sets, Sequences and Mappings: The Basic Concepts of Analysis |
by Kenneth Anderson, Dick Wick Hall
This text bridges the gap between beginning and advanced calculus. It offers a systematic development of the real number system and careful treatment of mappings, sequences, limits, continuity, and metric spaces. 1963 edition.
|Axiomatic Set Theory |
by Paul Bernays
A historical introduction by A. A. Fraenkel to the original Zermelo-Fraenkel form of set-theoretic axiomatics, plus Paul Bernays' independent presentation of a formal system of axiomatic set theory.
|Axiomatic Set Theory |
by Patrick Suppes
Geared toward upper-level undergraduates and graduate students, this treatment examines the basic paradoxes and history of set theory and advanced topics such as relations and functions, equipollence, more. 1960 edition.
|Basic Set Theory |
by Azriel Levy
The first part of this advanced-level text covers pure set theory, and the second deals with applications and advanced topics (point set topology, real spaces, Boolean algebras, infinite combinatorics and large cardinals). 1979 edition.
|An Outline of Set Theory |
by James M. Henle
An innovative introduction to set theory, this volume is for undergraduate courses in which students work in groups and present their solutions to the class. Complete solutions. 1986 edition.
|Set Theory and Logic |
by Robert R. Stoll
Explores sets and relations, the natural number sequence and its generalization, extension of natural numbers to real numbers, logic, informal axiomatic mathematics, Boolean algebras, informal axiomatic set theory, several algebraic theories, and 1st-order theories.
|Set Theory and the Continuum Hypothesis |
by Paul J. Cohen
This exploration of a notorious mathematical problem is the work of the man who discovered the solution. The award-winning author employs intuitive explanations and detailed proofs in this self-contained treatment. 1966 edition. Copyright renewed 1994.
|Mathematics for the Nonmathematician |
by Morris Kline
Erudite and entertaining overview follows development of mathematics from ancient Greeks to present. Topics include logic and mathematics, the fundamental concept, differential calculus, probability theory, much more. Exercises and problems.
|Mathematics: Its Content, Methods and Meaning |
by A. D. Aleksandrov, A. N. Kolmogorov, M. A. Lavrent’ev
Major survey offers comprehensive, coherent discussions of analytic geometry, algebra, differential equations, calculus of variations, functions of a complex variable, prime numbers, linear and non-Euclidean geometry, topology, functional analysis, more. 1963 edition.
by Larry C. Grove
This graduate-level text is intended for initial courses in algebra that proceed at a faster pace than undergraduate-level courses. Subjects include groups, rings, fields, and Galois theory. 1983 edition. Includes 11 figures. Appendix. References. Index.
|Applied Matrix Algebra in the Statistical Sciences |
by Alexander Basilevsky
This comprehensive text offers teachings relevant to both applied and theoretical branches of matrix algebra and provides a bridge between linear algebra and statistical models. Appropriate for advanced undergraduate and graduate students. 1983 edition.
|Basic Algebra I: Second Edition |
by Nathan Jacobson
A classic text and standard reference for a generation, this volume covers all undergraduate algebra topics, including groups, rings, modules, Galois theory, polynomials, linear algebra, and associative algebra. 1985 edition.
|Basic Algebra II: Second Edition |
by Nathan Jacobson
This classic text and standard reference comprises all subjects of a first-year graduate-level course, including in-depth coverage of groups and polynomials and extensive use of categories and functors. 1989 edition.
|A Book of Abstract Algebra: Second Edition |
by Charles C Pinter
Accessible but rigorous, this outstanding text encompasses all of elementary abstract algebra's standard topics. Its easy-to-read treatment offers an intuitive approach, featuring informal discussions followed by thematically arranged exercises. 1990 edition.
|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, and more. Detailed solutions, as well as brief answers, for all problems are provided.
|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.
|Introduction to Linear Algebra and Differential Equations |
by John W. Dettman
Excellent introductory text focuses on complex numbers, determinants, orthonormal bases, symmetric and hermitian matrices, first order non-linear equations, linear differential equations, Laplace transforms, Bessel functions, more. Includes 48 black-and-white illustrations. Exercises with solutions. Index.
|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.
|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.
|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.