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Why do card tricks work? How can magicians do astonishing feats of mathematics mentally? Why do stage "mind-reading" tricks work? As a rule, we simply accept these tricks and "magic" without recognizing that...

Can you multiply 362 x .5 quickly in your head? Could you readily calculate the square of 41? How much is 635 divided by 2½? Can 727,648 be evenly divided by 8?

If any of these questions took you more than...

"An excellent text, highly recommended." *— Choice*

When it was first published, this first-year chemistry text revolutionized the teaching of chemistry by presenting it in terms of unifying principles instead...

Since the publication of Einstein's *Special Theory of Relativity* in 1905, the discovery of such astronomical phenomena as quasars, pulsars, and black holes — all intimately connected to relativity — has...

Six classic papers on stochastic process, selected to meet the needs of physicists, applied mathematicians, and engineers. **Contents: **1.Chandrasekhar, S.: Stochastic Problems in Physics and Astronomy. 2. Uhlenbeck,...

A noted logician and philosopher addresses various forms of mathematical logic, discussing both theoretical underpinnings and practical applications. Author Hao Wang surveys the central concepts and theories...

This is the definitive popular exploration of what the fourth dimension means, both physically and spiritually. Mathematician and science-fiction novelist Rudy Rucker takes readers on a guided tour of a higher...

Two distinct but related approaches hold the solutions to many mathematical problems--the forms of expression known as differential and integral equations. The method employed by the integral equation approach...

Suitable for undergraduate students of mathematics and graduate students of operations research and engineering, this text covers the basic theory and computation for a first course in linear programming. In...

Suitable for both graduate and undergraduate courses, this text recalls basic concepts of calculus and shows how problems can be formulated in terms of differential equations. Fully worked-out solutions to selected...

Acclaimed as "excellent" (*Nature*) and "very original and refreshing" (*Physics Today*), this collection of self-contained studies is geared toward advanced undergraduates and graduate students. Its broad selection...

From simple (How do magnets work?) to complex (Where does uranium get its energy?), this volume offers intriguing insights into scientific facts. Definitive accounts of workings behind everyday phenomena include...

This monograph by a distinguished mathematician constitutes the first systematic summary of research concerning partially ordered groups, semigroups, rings, and fields. The high-level, self-contained treatment...

This text is devoted to the development of certain probabilistic methods in the specific field of stochastic differential equations and limit theorems for Markov processes. Specialists, researchers, and students...

This systematic algebraic approach concerns problems involving a large number of degrees of freedom. It extends the traditional formalism of quantum mechanics, and it eliminates conceptual and mathematical difficulties...

Suitable for upper-level undergraduates, this accessible approach to set theory poses rigorous but simple arguments. Each definition is accompanied by commentary that motivates and explains new concepts. Starting...

This advanced undergraduate and graduate-level text introduces the power of operator theory as a tool in the study of quantum mechanics, assuming only a working knowledge of advanced calculus and no background...

Fascinating and highly readable, this book recounts the history of mathematics as revealed in the lives and writings of the most distinguished practitioners of the art: Archimedes, Descartes, Fermat, Pascal,...

Combining stories of great philosophers, quotations, and riddles with the fundamentals of mathematical logic, this new textbook for first courses in mathematical logic was written by the subject's creative master....

This classic text in introductory analysis delineates and explores the intermediate steps between the basics of calculus and the ultimate stage of mathematics: abstraction and generalization.

Since many abstractions...

Celebrated mathematician Shlomo Sternberg, a pioneer in the field of dynamical systems, created this modern one-semester introduction to the subject for his classes at Harvard University. Its wide-ranging treatment...

Hailed by the *Bulletin of the American Mathematical Society* as "easy to use and a pleasure to read," this research monograph is recommended for students and professionals interested in model theory and definability...

From one of the foremost interpreters for lay readers of the history and meaning of mathematics: a stimulating account of the origins of mathematical thought and the development of numerical theory. It probes...

This self-contained treatment develops the theory of generalized functions and the theory of distributions, and it systematically applies them to solving a variety of problems in partial differential equations....

Geared toward upper-level undergraduates and graduate students, this text explores the applications of nonstandard analysis without assuming any knowledge of mathematical logic. It develops the key techniques...

Lucid, insightful exploration reviews complex analysis, introduces Riemann manifold, shows how to define real functions on manifolds, and more. Perfect for classroom use or independent study. 344 exercises....

Introduction to the themes of mathematical analysis, geared toward advanced undergraduate and graduate students. Topics include operators, function spaces, Hilbert spaces, and elementary Fourier analysis. Numerous...

Modern approach presents subject in terms of ideas and concepts rather than special cases and tricks. 134 problems. Preface. Index.

Clear, coherent work for graduate level study discusses the Maxwell field equations, radiation from wire antennas, the Doppler effect and more.

Concise yet comprehensive survey covers broad range of topics: convexity and matrices, localization of characteristic roots, proofs of classical theorems and results in contemporary research literature, much...

Insightful memoir by former apprentice presents a revealing portrait of Wright the man, the inspired teacher, the architect.

Well-illustrated, practical approach to creating star-faced spherical forms that can serve as basic structures for geodesic domes. Complete instructions for making models from circular bands of paper with just...

Comprehensive and accessible, this foundational text surveys general principles of sound, musical scales, characteristics of instruments, mechanical and electronic recording devices, and many other topics....

Classic text focuses on everyday applications as well as those of scientific research. Minimal mathematical background necessary. Includes lively examples from business, government, and other fields. "Fascinating."...

This magnificent volume comprises three folios, originally published between 1739 and 1771. More than 100 plates depict facades, ground plans, exterior elevations, and perspective views of grand Neo-Palladian...

Volume 1 of 2-volume set. Total of 1,566 extracts includes writings on painting, sculpture, architecture, anatomy, mining, inventions, and music. Dual Italian-English texts, with 186 plates plus over 500 additional...

This graduate-level text opens with an elementary presentation of Hilbert space theory sufficient for understanding the rest of the book. Additional topics include boundary value problems, evolution equations,...

Philosophic, less formalistic approach to analytical mechanics offers model of clear, scholarly exposition at graduate level with coverage of basics, calculus of variations, principle of virtual work, equations...

Useful treatment of classical mechanics, electromagnetic theory, and relativity includes explanations of function theory, vectors, matrices, dyadics, tensors, partial differential equations, other advanced mathematical...

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...

This undergraduate text develops the geometry of plane and space, leading up to conics and quadrics, within the context of metrical, affine, and projective transformations. 1953 edition.

Comprehensive but concise, this workbook is less rigorous than most calculus texts. Topics include functions, derivatives, differentiation of algebraic functions, partial differentiation, indeterminate forms,...

Exceptionally articulate treatment of negative temperatures, relativistic effects, black hole thermodynamics, gravitational collapse, much more. Over 100 problems with worked solutions. Geared toward advanced...

This text focuses on the basics of algebraic theory, giving detailed explanations of integral functions, permutations, and groups, and Lagrange and Galois theory. Many numerical examples with complete solutions....

Ideal for self-instruction as well as for classroom use, this text improves understanding and problem-solving skills in analysis, analytic geometry, and higher algebra. Over 1,200 problems, with hints and complete...

This extensive survey covers defects in nonmetals, emphasizing point defects and point-defect processes. It encompasses electronic, vibrational, and optical properties of defective solids, plus dislocations...

This graduate-level text explores propagator methods, scattering theory, charged particle interactions and their applications, alternate approximate methods, and the Klein-Gordon and Dirac equations. Problems...

Written by a pioneer of quantum field theory, this introductory volume explores scalar fields, vector meson fields, quantum electrodynamics, quantization of electron wave field according to exclusion principle....

Highly accessible treatment covers cons cell structures, evaluation rules, programs as data, recursive and applicable programming styles. Nearly 400 illustrations, answers to exercises, "toolkit" sections, and...

"Strongly recommended" by the *American Journal of Physics,* this volume serves as a text for advanced undergraduates and graduate students of physics as well as a reference for professionals. Clear in its presentation...