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Mathematics, Magic and Mystery

by Martin Gardner Dover Publications (December 02, 2014)

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...


Short-Cut Math

by Gerard W. Kelly Dover Publications (March 23, 2012)

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...


General Chemistry

by Linus Pauling Dover Publications (April 02, 2012)

"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...


Relativity Simply Explained

by Martin Gardner Dover Publications (November 21, 2012)

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...


Selected Papers on Noise and Stochastic Processes

by Nelson Wax Dover Publications (August 20, 2014)

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,...


Integral Equations

by B. L. Moiseiwitsch Dover Publications (November 30, 2011)

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...


Studies in the Theory of Random Processes

by A. V. Skorokhod Dover Publications (July 28, 2014)

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...


Operator Methods in Quantum Mechanics

by Martin Schechter Dover Publications (June 10, 2014)

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...


A Beginner's Guide to Mathematical Logic

by Raymond M. Smullyan Dover Publications (March 19, 2014)

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....


Generalized Functions and Partial Differential Equations

by Avner Friedman Dover Publications (November 30, 2011)

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....


Years with Frank Lloyd Wright: Apprentice to Genius

by Edgar Tafel Dover Publications (May 05, 2014)

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


The Nature of Statistics

by Harry V. Roberts, W. Allen Wallis & George P Shultz Dover Publications (April 15, 2014)

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."...


Vitruvius Britannicus: Second Series

by J. Badeslade, J. Rocque, John Woolfe & James Gandon Dover Publications (September 12, 2011)

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...


The Variational Principles of Mechanics

by Cornelius Lanczos Dover Publications (March 27, 2012)

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...


Lectures on Analytic and Projective Geometry

by Dirk J. Struik Dover Publications (March 05, 2014)

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.


Thermodynamics and Statistical Mechanics

by Peter T. Landsberg Dover Publications (February 08, 2014)

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


Algebraic Equations: An Introduction to the Theories of Lagrange and Galois

by Edgar Dehn Dover Publications (August 08, 2012)

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....


Defects and Defect Processes in Nonmetallic Solids

by W. Hayes & A. M. Stoneham Dover Publications (February 10, 2012)

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...


Topics in Advanced Quantum Mechanics

by Barry R. Holstein Dover Publications (August 21, 2013)

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...


Quantum Theory of Fields

by Gregor Wentzel Dover Publications (March 05, 2014)

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....


Common LISP: A Gentle Introduction to Symbolic Computation

by David S. Touretzky Dover Publications (February 20, 2014)

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...


Quantum Mechanics

by Albert Messiah Dover Publications (February 17, 2014)

"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...


Four Lives: A Celebration of Raymond Smullyan

by Jason Rosenhouse & Raymond M. Smullyan Dover Publications (February 20, 2014)

This "best of" collection of works by Raymond Smullyan features logic puzzles, musings on mathematical logic and paradoxes, chess problems, and thoughts on the philosophy of religion, plus personal tributes...


Integral Equations

by F. G. Tricomi Dover Publications (March 30, 2012)

Authoritative, well-written treatment of extremely useful mathematical tool with wide applications. Topics include Volterra Equations, Fredholm Equations, Symmetric Kernels and Orthogonal Systems of Functions,...


General Topology

by Stephen Willard Dover Publications (June 14, 2012)

Among the best available reference introductions to general topology, this volume is appropriate for advanced undergraduate and beginning graduate students. Includes historical notes and over 340 detailed exercises....


Theory of Thermal Stresses

by Bruno A. Boley & Jerome H. Weiner Dover Publications (April 25, 2012)

Highly regarded text presents detailed discussion of fundamental aspects of theory, background, problems with detailed solutions. Basics of thermoelasticity, heat transfer theory, thermal stress analysis, more....


What Is Mathematical Logic?

by J. N. Crossley, C.J. Ash, C.J. Brickhill & J.C. Stillwell Dover Publications (August 01, 2012)

A serious introductory treatment geared toward non-logicians, this survey traces the development of mathematical logic from ancient to modern times and discusses the work of Planck, Einstein, Bohr, Pauli, Heisenberg,...


Non-Euclidean Geometry

by Roberto Bonola Dover Publications (July 18, 2012)

Examines various attempts to prove Euclid's parallel postulate — by the Greeks, Arabs and Renaissance mathematicians. It considers forerunners and founders such as Saccheri, Lambert, Legendre, W. Bolyai, Gauss,...


Introduction to Symbolic Logic and Its Applications

by Rudolf Carnap Dover Publications (June 14, 2012)

A clear, comprehensive, and rigorous treatment develops the subject from elementary concepts to the construction and analysis of relatively complex logical languages. It then considers the application of symbolic...


Asymptotic Expansions

by A. Erdélyi Dover Publications (March 30, 2012)

Various methods for asymptotic evaluation of integrals containing a large parameter, and solutions of ordinary linear differential equations by means of asymptotic expansion.


The Origins of Cauchy's Rigorous Calculus

by Judith V. Grabiner Dover Publications (April 13, 2012)

This text examines the reinterpretation of calculus by Augustin-Louis Cauchy and his peers in the 19th century. These intellectuals created a collection of well-defined theorems about limits, continuity, series,...


Differential Equations: A Concise Course

by H. S. Bear Dover Publications (October 30, 2013)

First-rate introduction for undergraduates examines first order equations, complex-valued solutions, linear differential operators, the Laplace transform, Picard's existence theorem, and much more. Includes...


Cartesian Tensors: An Introduction

by G. Temple Dover Publications (April 06, 2012)

This undergraduate-level text provides an introduction to isotropic tensors and spinor analysis, with numerous examples that illustrate the general theory and indicate certain extensions and applications. 1960...


Euclidean Geometry and Transformations

by Clayton W. Dodge Dover Publications (March 29, 2012)

This introduction to Euclidean geometry emphasizes transformations, particularly isometries and similarities. Suitable for undergraduate courses, it includes numerous examples, many with detailed answers. 1972...


A History of Greek Mathematics, Volume I: From Thales to Euclid

by Sir Thomas Heath Dover Publications (February 10, 2012)

Volume 1 of an authoritative two-volume set that covers the essentials of mathematics and features every landmark innovation and every important figure, including Euclid, Apollonius, and others.


Essays on the Theory of Numbers

by Richard Dedekind Dover Publications (June 14, 2012)

Two classic essays by great German mathematician: one provides an arithmetic, rigorous foundation for the irrational numbers, the other is an attempt to give the logical basis for transfinite numbers and properties...


The Direction of Time

by Hans Reichenbach Dover Publications (September 12, 2012)

Distinguished physicist examines emotive significance of time, time order of mechanics, time direction of thermodynamics and microstatistics, time direction of macrostatistics, time of quantum physics, more....


Introduction to the Calculus of Variations

by Hans Sagan Dover Publications (March 29, 2012)

Provides a thorough understanding of calculus of variations and prepares readers for the study of modern optimal control theory. Selected variational problems and over 400 exercises. Bibliography. 1969 edition....


Basic Electricity

by U.S. Bureau of Naval Personnel Dover Publications (May 09, 2012)

Originally a training course; best nontechnical coverage. Topics include batteries, circuits, conductors, AC and DC, inductance and capacitance, generators, motors, transformers, amplifiers, etc. Many questions...


Optimization Theory with Applications

by Donald A. Pierre Dover Publications (June 14, 2012)

Broad-spectrum approach to important topic. Explores the classic theory of minima and maxima, classical calculus of variations, simplex technique and linear programming, optimality and dynamic programming, more....


Lie Algebras

by Nathan Jacobson Dover Publications (August 19, 2013)

Definitive treatment of important subject in modern mathematics. Covers split semi-simple Lie algebras, universal enveloping algebras, classification of irreducible modules, automorphisms, simple Lie algebras...


Problems in Probability Theory, Mathematical Statistics and Theory of Random Functions

by A. A. Sveshnikov Dover Publications (April 02, 2012)

Approximately 1,000 problems — with answers and solutions included at the back of the book — illustrate such topics as random events, random variables, limit theorems, Markov processes, and much more.


Topics in Number Theory, Volumes I and II

by William J. LeVeque Dover Publications (May 25, 2012)

Classic 2-part work now available in a single volume. Contents range from chapters on binary quadratic forms to the Thue-Siegel-Roth Theorem and the Prime Number Theorem. Includes problems and solutions. 1956...


Introduction to Partial Differential Equations and Hilbert Space Methods

by Karl E. Gustafson Dover Publications (March 29, 2012)

Easy-to-use text examines principal method of solving partial differential equations, 1st-order systems, computation methods, and much more. Over 600 exercises, with answers for many. Ideal for a 1-semester...


The Qualitative Theory of Ordinary Differential Equations: An Introduction

by Fred Brauer & John A. Nohel Dover Publications (November 13, 2012)

Superb, self-contained graduate-level text covers standard theorems concerning linear systems, existence and uniqueness of solutions, and dependence on parameters. Focuses on stability theory and its applications...


Ordinary Differential Equations

by Edward L. Ince Dover Publications (March 30, 2012)

Among the topics covered in this classic treatment are linear differential equations; solution in an infinite form; solution by definite integrals; algebraic theory; Sturmian theory and its later developments;...


Infinitesimal Calculus

by James M. Henle & Eugene M. Kleinberg Dover Publications (December 17, 2013)

Introducing calculus at the basic level, this text covers hyperreal numbers and hyperreal line, continuous functions, integral and differential calculus, fundamental theorem, infinite sequences and series, infinite...


Advanced Calculus: An Introduction to Classical Analysis

by Louis Brand Dover Publications (September 12, 2013)

A course in analysis that focuses on the functions of a real variable, this text introduces the basic concepts in their simplest setting and illustrates its teachings with numerous examples, theorems, and proofs....


An Introduction to Algebraic Topology

by Andrew H. Wallace Dover Publications (November 30, 2011)

This self-contained treatment begins with three chapters on the basics of point-set topology, after which it proceeds to homology groups and continuous mapping, barycentric subdivision, and simplicial complexes....


Topology

by John G. Hocking & Gail S. Young Dover Publications (April 25, 2012)

Superb one-year course in classical topology. Topological spaces and functions, point-set topology, much more. Examples and problems. Bibliography. Index.