In this charming volume, a noted English mathematician uses humor and anecdote to illuminate the concepts of groups, sets, subsets, topology, Boolean algebra, and other mathematical subjects. 200 illustrations.
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Short-Cut Math by Gerard W. Kelly Clear, concise compendium of about 150 time-saving math short-cuts features faster, easier ways to add, subtract, multiply, and divide. Each problem includes an explanation of the method. No special math ability needed.
Excursions in Number Theory by C. Stanley Ogilvy, John T. Anderson Challenging, accessible mathematical adventures involving prime numbers, number patterns, irrationals and iterations, calculating prodigies, and more. ". . . splendidly written, well selected and presented collection . . ." — Martin Gardner.
Boolean Reasoning: The Logic of Boolean Equations by Frank Markham Brown Concise text begins with an overview of elementary mathematical concepts and outlines theory of Boolean algebras; defines operators for elimination, division, and expansion; covers syllogistic reasoning, solution of Boolean equations, and functional deduction.
A Treatise on the Calculus of Finite Differences by George Boole This classic treatise on the calculus of finite differences offers a thorough discussion of the basic principles of the subject, covering nearly all the major theorems and methods. Over 200 problems. 1872 edition.
Game, Set and Math: Enigmas and Conundrums by Ian Stewart Twelve essays take a playful approach to mathematics, investigating the topology of a blanket, the odds of beating a superior tennis player, and how to distinguish between fact and fallacy.
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.
Journey into Mathematics: An Introduction to Proofs by Joseph J. Rotman 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.
A Long Way from Euclid by Constance Reid Lively guide by a prominent historian focuses on the role of Euclid's Elements in subsequent mathematical developments. Elementary algebra and plane geometry are sole prerequisites. 80 drawings. 1963 edition.
Another Fine Math You've Got Me Into. . . by Ian Stewart Sixteen columns from the French edition of Scientific American feature oddball characters and wacky wordplay in a mathematical wonderland of puzzles and games that also imparts significant mathematical ideas. 1992 edition.
Problem Solving Through Recreational Mathematics by Bonnie Averbach, Orin Chein Fascinating approach to mathematical teaching stresses use of recreational problems, puzzles, and games to teach critical thinking. Logic, number and graph theory, games of strategy, much more. Includes answers to selected problems. 1980 edition.
The Stanford Mathematics Problem Book: With Hints and Solutions by G. Polya, J. Kilpatrick Based on Stanford University's well-known competitive exam, this excellent mathematics workbook offers students at both high school and college levels a complete set of problems, hints, and solutions. 1974 edition.
Fifty Challenging Problems in Probability with Solutions by Frederick Mosteller Remarkable puzzlers, graded in difficulty, illustrate elementary and advanced aspects of probability. These problems were selected for originality, general interest or because they demonstrate valuable techniques. Also includes detailed solutions.
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.
The Nature and Power of Mathematics by Donald M. Davis This captivating book explains some of the most fascinating ideas of mathematics to nonspecialists, focusing on non-Euclidean geometry, number theory, and fractals. Numerous illustrations. 1993 edition.
The Art of Mathematics by Jerry P. King Clear, concise, and superbly written, this book reveals the beauty at the heart of mathematics, illustrating the fundamental connection between aesthetics and mathematics. "Witty, trenchant, and provocative." — Mathematical Association of America.
Descartes' Dream: The World According to Mathematics by Philip J. Davis, Reuben Hersh These provocative essays take a modern look at the 17th-century thinker's dream, examining the influences of mathematics on society, particularly in light of technological advances. 1987 edition.
Companion to Concrete Mathematics: Mathematical Techniques and Various Applications by Z. A. Melzak A two-volume treatment in a single binding, this supplementary text stresses intuitive appeal and ingenuity. It employs physical analogies, encourages problem formulation, and supplies problem-solving methods. 1973 and 1976 editions.
Mathematics and the Imagination by Edward Kasner, James Newman With wit and clarity, the authors progress from simple arithmetic to calculus and non-Euclidean geometry. Their subjects: geometry, plane and fancy; puzzles that made mathematical history; tantalizing paradoxes; more. Includes 169 figures.
The World of Mathematics, Vol. 2 by James R. Newman Vol. 2 of a monumental 4-volume set covers mathematics and the physical world, mathematics and social science, and the laws of chance, with non-technical essays by eminent mathematicians, economists, scientists, and others.
The World of Mathematics, Vol. 1 by James R. Newman Vol. 1 of a monumental 4-volume set includes a general survey of mathematics; historical and biographical information on prominent mathematicians throughout history; material on arithmetic, numbers and the art of counting, more.
The World of Mathematics, Vol. 3 by James R. Newman Vol. 3 of a monumental 4-volume set covers such topics as statistics and the design of experiments, group theory, the mathematics of infinity, the unreasonableness of mathematics, the vocabulary of mathematics, and more.
The World of Mathematics, Vol. 4 by James R. Newman Vol. 4 of a monumental 4-volume set covers such topics as mathematical machines, mathematics in warfare, a mathematical theory of art, mathematics of the good, mathematics in literature, mathematics and music, and amusements.
The Development of Mathematics by E. T. Bell One of the 20th century's foremost scholars surveys the role of mathematics in civilization, describing the main principles, methods, and theories of mathematics from 4000 B.C. to 1945. 1945 edition.
Mathematics and Logic by Mark Kac, Stanislaw M. Ulam Fascinating study of the origin and nature of mathematical thought, including relation of mathematics and science, 20th-century developments, impact of computers, more. Includes 34 illustrations. 1968 edition.
