By Subject > Science and Mathematics > Mathematics > General and Popular Mathematics
Recommendations...
|  | 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.
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Concepts of Modern Mathematics by Ian Stewart 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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|  | 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.
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The Lady or the Tiger?: and Other Logic Puzzles by Raymond M. Smullyan Created by a renowned puzzle master, these whimsically themed challenges involve paradoxes about probability, time, and change; metapuzzles; and self-referentiality. Nineteen chapters advance in difficulty from relatively simple to highly complex. 1982 edition.
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|  | 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.
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 | Mathematics, Magic and Mystery by Martin Gardner Famed puzzle expert explains math behind a multitude of mystifying tricks: card tricks, stage "mind reading," coin and match tricks, counting out games, geometric dissections, etc. More than 400 tricks, 135 illustrations.
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Mathematical Fallacies and Paradoxes by Bryan Bunch Stimulating, thought-provoking analysis of the most interesting intellectual inconsistencies in mathematics, physics, and language, including being led astray by algebra (De Morgan's paradox). 1982 edition.
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| Products in General and Popular Mathematics |  |  |  | 100 Great Problems of Elementary Mathematics by Heinrich Dörrie Problems that beset Archimedes, Newton, Euler, Cauchy, Gauss, etc. Features squaring the circle, pi, similar problems. No advanced math is required. Includes 100 problems with proofs.
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|  | Advanced Trigonometry by C. V. Durell, A. Robson This volume is a welcome resource for teachers seeking an undergraduate text on advanced trigonometry. Ideal for self-study, this book offers a variety of topics with problems and answers. 1930 edition. Includes 79 figures.
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|  | Analysis in Euclidean Space by Kenneth Hoffman Developed for a beginning course in mathematical analysis, this text focuses on concepts, principles, and methods, offering introductions to real and complex analysis and complex function theory. 1975 edition.
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|  | The Analytic Art by Francois Vičte, T. Richard Witmer Originally published in 1591, this work pioneered the notion of using symbols of one kind (vowels) for unknowns and of another kind (consonants) for known quantities.
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|  | Applied Nonlinear Analysis by Jean-Pierre Aubin, Ivar Ekeland This introductory text offers simple presentations of the fundamentals of nonlinear analysis, with direct proofs and clear applications. Topics include smooth/nonsmooth functions, convex/nonconvex variational problems, economics, and mechanics. 1984 edition.
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|  | Arithmetic Refresher by A. A. Klaf These 937 most-asked questions deal with tax problems, interest and discount, time-payment, etc. Features 809 problems and answers. "More than just a refresher . . . contains a great number of items that are not just reminders but entirely new ideas. — Bookmarks.
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|  | 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.
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|  | Challenging Mathematical Problems 2 Vol Set by Dover Save Over 11%! This 2-volume set of Challenging Mathematical Problems with Elementary Solutions features over 170 challenging problems ranging from the relatively simple to the extremely difficult.
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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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|  | Challenging Problems in Geometry by Alfred S. Posamentier, Charles T. Salkind Collection of nearly 200 unusual problems dealing with congruence and parallelism, the Pythagorean theorem, circles, area relationships, Ptolemy and the cyclic quadrilateral, collinearity and concurrency and more. Arranged in order of difficulty. Detailed solutions.
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|  | Concepts of Modern Mathematics by Ian Stewart 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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|  | Discovering Mathematics: The Art of Investigation by A. Gardiner With puzzles involving coins, postage stamps, and other commonplace items, readers are challenged to explain perplexing mathematical phenomena. Simple methods are employed to capture the essentials of mathematical discovery. Solutions.
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|  | The Divine Proportion by H. E. Huntley Discussion ranges from theories of biological growth to intervals and tones in music, Pythagorean numerology, conic sections, Pascal's triangle, the Fibonnacci series, and much more. Excellent bridge between science and art. Features 58 figures.
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|  | Dr. Ecco: Mathematical Detective by Dennis Shasha The heroic Dr. Ecco uncovers a fiendish plot in this collection of original puzzles inspired by research methods of computer science and mathematics. No sophisticated mathematical background necessary. Solutions.
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| |  | Elementary Mathematics from an Advanced Standpoint: Geometry by Felix Klein This comprehensive treatment features analytic formulas, enabling precise formulation of geometric facts, and it covers geometric manifolds and transformations, concluding with a systematic discussion of fundamentals. 1939 edition. Includes 141 figures.
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|  | Excursions in Geometry by C. Stanley Ogilvy A straightedge, compass, and a little thought are all that's needed to discover the intellectual excitement of geometry. Harmonic division and Apollonian circles, inversive geometry, hexlet, Golden Section, more. 132 illustrations.
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|  | 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.
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