Stimulating collection of over 300 unusual problems involving equations and inequalities, Diophantine equations, number theory, quadratic equations, logarithms and more. Problems range from easy to difficult. Detailed solutions, as well as brief answers, for all problems are provided.
Here's a sample of other books in this Dover category
The USSR Olympiad Problem Book: Selected Problems and Theorems of Elementary Mathematics by D. O. Shklarsky, N. N. Chentzov, I. M. Yaglom Over 300 challenging problems in algebra, arithmetic, elementary number theory and trigonometry, selected from Mathematical Olympiads held at Moscow University. Only high school math needed. Includes complete solutions. Features 27 black-and-white illustrations. 1962 edition.
How to Solve Mathematical Problems by Wayne A. Wickelgren Seven problem-solving techniques include inference, classification of action sequences, subgoals, contradiction, working backward, relations between problems, and mathematical representation. Also, problems from mathematics, science, and engineering with complete solutions.
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.
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-yeargraduate-level course, including in-depth coverage of groups and polynomials and extensive use of categories and functors. 1989 edition.
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.
