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The Fourth Dimension: Toward a Geometry of Higher Reality

by Rudy Rucker Dover Publications (August 18, 2014)

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...


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...


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...


A Brief Introduction to Theta Functions

by Richard Bellman Dover Publications (November 05, 2013)

Brief but intriguing monograph on the theory of elliptic functions, written by a prominent mathematician. Spotlights high points of the fundamental regions and illustrates powerful, versatile analytic methods....


Mathematics for the Physical Sciences

by Herbert S Wilf Dover Publications (December 21, 2012)

Topics include vector spaces and matrices; orthogonal functions; polynomial equations; asymptotic expansions; ordinary differential equations; conformal mapping; and extremum problems. Includes exercises and...


Boundary Value Problems and Fourier Expansions

by Charles R. MacCluer Dover Publications (December 21, 2012)

Based on modern Sobolev methods, this text integrates numerical methods and symbolic manipulation into an elegant viewpoint that is consonant with implementation by digital computer. 2004 edition. Includes 64...


Prelude to Mathematics

by W. W. Sawyer Dover Publications (March 22, 2012)

This lively, stimulating account of non-Euclidean geometry by a noted mathematician covers matrices, determinants, group theory, and many other related topics, with an emphasis on the subject's novel, striking...


Experiments in Topology

by Stephen Barr Dover Publications (November 06, 2012)

Classic, lively explanation of one of the byways of mathematics. Klein bottles, Moebius strips, projective planes, map coloring, problem of the Koenigsberg bridges, much more, described with clarity and wit....


Sundials: History, Theory, and Practice

by René R.J. Rohr Dover Publications (August 09, 2012)

Masterly account of long and colorful history of sundials, with practical instructions for building your own. Formulae, rare dials, mottoes, and much more. 104 figures. 51 plates.


Playing with Infinity

by Rózsa Péter Dover Publications (March 07, 2012)

Popular account ranges from counting to mathematical logic and covers many concepts related to infinity: graphic representation of functions; pairings, other combinations; prime numbers; logarithms, circular...


Foundations of Applied Mathematics

by Michael D. Greenberg Dover Publications (November 26, 2013)

Classic text/reference suitable for undergraduate and graduate engineering students. Topics include real variable theory, complex variables, linear analysis, partial and ordinary differential equations, and...


Introductory Complex Analysis

by Richard A. Silverman Dover Publications (March 18, 2013)

Shorter version of Markushevich's Theory of Functions of a Complex Variable, appropriate for advanced undergraduate and graduate courses in complex analysis. More than 300 problems, some with hints and answers....


Mathematical Foundations of Information Theory

by A. Ya. Khinchin Dover Publications (March 12, 2013)

First comprehensive introduction to information theory explores the work of Shannon, McMillan, Feinstein, and Khinchin. Topics include the entropy concept in probability theory, fundamental theorems, and other...


Initial Boundary Value Problems in Mathematical Physics

by Rolf Leis Dover Publications (July 17, 2013)

Introduction to classical scattering theory and time-dependent theory of linear equations in mathematical physics. Topics include wave operators, exterior boundary value problems, radiation conditions, limiting...


Dynamic Optimization, Second Edition: The Calculus of Variations and Optimal Control in Economics and Management

by Morton I. Kamien & Nancy L. Schwartz Dover Publications (March 20, 2013)

Since its initial publication, this text has defined courses in dynamic optimization taught to economics and management science students. The two-part treatment covers the calculus of variations and optimal...


Elementary Real and Complex Analysis

by Georgi E. Shilov Dover Publications (July 03, 2012)

Excellent undergraduate-level text offers coverage of real numbers, sets, metric spaces, limits, continuous functions, much more. Each chapter contains a problem set with hints and answers. 1973 edition.


Introductory Graph Theory

by Gary Chartrand Dover Publications (April 02, 2012)

Clear, lively style covers all basics of theory and application, including mathematical models, elementary graph theory, transportation problems, connection problems, party problems, diagraphs and mathematical...


Vectors, Tensors and the Basic Equations of Fluid Mechanics

by Rutherford Aris Dover Publications (July 31, 2012)

Introductory text, geared toward advanced undergraduate and graduate students, applies mathematics of Cartesian and general tensors to physical field theories and demonstrates them in terms of the theory of...


Introduction to Real Analysis

by Michael J. Schramm Dover Publications (April 13, 2012)

This text forms a bridge between courses in calculus and real analysis. Suitable for advanced undergraduates and graduate students, it focuses on the construction of mathematical proofs. 1996 edition.


The Rules of Contagion

by Adam Kucharski Basic Books (July 06, 2020)

From ideas and infections to financial crises and fake news, an "utterly timely" look at why the science of outbreaks is the science of modern life

These days, whenever anything spreads, whether it's a YouTube...


The Universe Speaks in Numbers

by Graham Farmelo Basic Books (May 27, 2019)

How math helps us solve the universe's deepest mysteries One of the great insights of science is that the universe has an underlying order. The supreme goal of physicists is to understand this order through...


The Perfect Bet

by Adam Kucharski Basic Books (September 25, 2017)

"An elegant and amusing account.... Anyone planning to enter a casino or place an online bet would be advised to keep this book handy." --Wall Street Journal

For the past 500 years, gamblers-led by mathematicians...


The Math of Life and Death

by Kit Yates Scribner (January 07, 2020)

A brilliant and entertaining mathematician illuminates seven mathematical principles that shape our lives.

“Kit Yates shows how our private and social lives are suffused by mathematics. Ignorance may bring...


The Math of Life and Death

by Kit Yates Simon & Schuster Audio (January 07, 2020)

A brilliant and entertaining mathematician illuminates seven mathematical principles that shape our lives.

“Kit Yates shows how our private and social lives are suffused by mathematics. Ignorance may bring...


Doctor Geek's Laboratory, Season 2

by Scott C. Viguié, a full cast & Joe Bevilacqua BearManor Media (January 19, 2016)

Doctor Geek and friends return to continue their mission to investigate science inspired by fiction in the hope to encourage the exploration of STEAM (Science, Technology, Engineering, Art, and Math).

Season...


Doctor Geek's Laboratory, Season 1

by Scott C. Viguié, a full cast, Chris Harrington & Debbie Viguié et al. BearManor Media (December 01, 2013)

Science fiction meets real-world technology in Doctor Geek's Laboratory, Season 1

It's the twenty-first century--have you ever wondered whathappened to all those inventions, conveniences, and other concepts the...


The Universe Speaks in Numbers

by Graham Farmelo & Hugh Kermode Basic Books (May 28, 2019)

How math helps us solve the universe's deepest mysteries One of the great insights of science is that the universe has an underlying order. The supreme goal of physicists is to understand this order through...


The Indisputable Existence of Santa Claus

by Thomas Oléron Evans & Hannah Fry Abrams Press (October 23, 2017)

How do you apply game theory to select who should be on your Christmas shopping list? What equations should you use to decorate the Christmas tree? Will calculations show Santa is getting steadily thinner--shimmying...


Panicology

by Hugh Aldersey-Williams & Simon Briscoe Skyhorse (May 01, 2009)

Are you afraid you might succumb to bird flu? Worried that a life of poverty awaits you in old age? Concerned that you might not be having as much sex as the French? Anxious that our planet is under threat from...


The Universe Speaks in Numbers

by Graham Farmelo Basic Books (May 28, 2019)

How math helps us solve the universe's deepest mysteries

You must be able to test any physical theory in the real world. To most physicists, this is obvious. But since the 1980s, experimental physics has yielded...


Lectures on Ergodic Theory

by Paul R. Halmos Dover Publications (November 15, 2017)

This concise classic by Paul R. Halmos, a well-known master of mathematical exposition, has served as a basic introduction to aspects of ergodic theory since its first publication in 1956. "The book is written...


Nonlinear Transformations of Random Processes

by Ralph Deutsch Dover Publications (November 08, 2017)

This concise treatment of nonlinear noise techniques encountered in system applications is suitable for advanced undergraduates and graduate students. The book is also a valuable reference for systems analysts...


Elasticity and Plasticity

by J. N. Goodier & P. G. Hodge, Jr. Dover Publications (March 17, 2016)

This volume comprises two classic essays on the mathematical theories of elasticity and plasticity by authorities in this area of engineering science. Undergraduate and graduate students in engineering as well...


Variational Methods for Boundary Value Problems for Systems of Elliptic Equations

by M. A. Lavrent’ev & J.R.M. Radok Dover Publications (January 14, 2016)

In this famous monograph, a distinguished mathematician presents an innovative approach to classical boundary value problems ― one that may be used by mathematicians as well as by theoreticians in mechanics....


Complex Variable Methods in Elasticity

by A. H. England Dover Publications (May 10, 2012)

The plane strain and generalized plane stress boundary value problems of linear elasticity are the focus of this graduate-level text, which formulates and solves these problems by employing complex variable...


Mathematics Old and New

by Saul Stahl & Paul E. Johnson Dover Publications (July 24, 2017)

This introductory treatment provides insightful expositions of specific applications as well as elements of mathematical history and culture. The in-depth coverage of key mathematical topics is presented in...


Semigroups of Linear Operators and Applications

by Jerome A. Goldstein Dover Publications (May 17, 2017)

This advanced monograph of semigroup theory explores semigroups of linear operators and linear Cauchy problems. Suitable for graduate students in mathematics as well as professionals in science and engineering,...


Mathematical Aspects of Subsonic and Transonic Gas Dynamics

by Lipman Bers Dover Publications (October 05, 2016)

This concise volume by a prominent mathematician offers an important survey of mathematical aspects of the theory of compressible fluids. The treatment is geared toward advanced undergraduates and graduate students...


Graph Theory with Applications to Engineering and Computer Science

by Narsingh Deo Dover Publications (March 09, 2017)

This outstanding introductory treatment of graph theory and its applications has had a long life in the instruction of advanced undergraduates and graduate students in all areas that require knowledge of this...


Applied Mathematical and Physical Formulas Pocket Reference

by Vukota Boljanovic Industrial Press, Inc. (August 15, 2006)

If formulas have always been your nemeses, this book is for you! Thoroughly practical and authoritative, this book brings together, in three parts, thousands of formulas, rules, and figures to simplify, review,...


Inverse Modeling: An introduction to the theory and methods of inverse problems and data assimilation

by Gen Nakamura & Roland Potthast Institute of Physics Publishing (December 28, 2015)

This book provides a comprehensive introduction to the techniques, tools and methods for inverse problems and data assimilation. Inverse problems are widespread today in science and technology, and this book...