The Absolute Differential Calculus (Calculus of Tensors)


Author: Tullio Levi-Civita
Publisher: Courier Corporation
ISBN: 0486316254
Category: Mathematics
Page: 452
View: 3122

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Written by a distinguished mathematician, this classic examines the mathematical material necessary for a grasp of relativity theory. Covers introductory theories, fundamental quadratic forms, absolute differential calculus, and physical applications. 1926 edition.

Tensor Calculus


Author: J. L. Synge,A. Schild
Publisher: Courier Corporation
ISBN: 048614139X
Category: Mathematics
Page: 336
View: 2969

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Fundamental introduction of absolute differential calculus and for those interested in applications of tensor calculus to mathematical physics and engineering. Topics include spaces and tensors; basic operations in Riemannian space, curvature of space, more.

Elements of Tensor Calculus


Author: A. Lichnerowicz
Publisher: Courier Dover Publications
ISBN: 0486805174
Category: Mathematics
Page: 176
View: 4864

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Part I: rigorous presentation of tensor calculus as a develoment of vector analysis. Part II: important applications of tensor calculus. Concluding section: field equations of general relativity theory. 1962 edition.

The World of Mathematics


Author: James Roy Newman
Publisher: Courier Corporation
ISBN: 9780486411521
Category: Mathematics
Page: 464
View: 6973

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Presents 33 essays on such topics as statistics and the design of experiments, group theory, the mathematics of infinity, the mathematical way of thinking, the unreasonableness of mathematics, and mathematics as an art. A reprint of volume 3 of the four-volume edition originally published by Simon and Schuster in 1956. Annotation c. Book News, Inc., Portland, OR (booknews.com).

Cartesian Tensors

An Introduction
Author: George Frederick James Temple
Publisher: Courier Corporation
ISBN: 9780486439082
Category: Mathematics
Page: 92
View: 2214

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An introduction to the theory of Cartesian tensors, this text notes the importance of the analysis of the structure of tensors in terms of spectral sets of projection operators as part of the very substance of quantum theory. Covers isotropic tensors and spinor analysis within the confines of Euclidean space; and tensors in orthogonal curvilinear coordinates. Examples. 1960 edition.

Fourier Series and Orthogonal Polynomials


Author: Dunham Jackson
Publisher: Courier Corporation
ISBN: 9780486438085
Category: Mathematics
Page: 234
View: 5769

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This text illustrates the fundamental simplicity of the properties of orthogonal functions and their developments in related series. Begins with a definition and explanation of the elements of Fourier series, and examines Legendre polynomials and Bessel functions. Also includes Pearson frequency functions and chapters on orthogonal, Jacobi, Hermite, and Laguerre polynomials, more. 1941 edition.

Differential Geometry


Author: Erwin Kreyszig
Publisher: Courier Corporation
ISBN: 0486318621
Category: Mathematics
Page: 384
View: 6136

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An introductory textbook on the differential geometry of curves and surfaces in 3-dimensional Euclidean space, presented in its simplest, most essential form. With problems and solutions. Includes 99 illustrations.

Tensors, Differential Forms, and Variational Principles


Author: David Lovelock,Hanno Rund
Publisher: Courier Corporation
ISBN: 048613198X
Category: Mathematics
Page: 400
View: 7585

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Incisive, self-contained account of tensor analysis and the calculus of exterior differential forms, interaction between the concept of invariance and the calculus of variations. Emphasis is on analytical techniques. Includes problems.

Tensor Analysis for Physicists


Author: Jan Arnoldus Schouten
Publisher: Courier Corporation
ISBN: 0486655822
Category: Science
Page: 277
View: 4508

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This rigorous and advanced mathematical explanation of classic tensor analysis was written by one of the founders of tensor calculus. Its concise exposition of the mathematical basis of the discipline is integrated with well-chosen physical examples of the theory, including those involving elasticity, classical dynamics, relativity, and Dirac's matrix calculus. 1954 edition.

A short course in discrete mathematics


Author: Edward A. Bender,Stanley Gill Williamson
Publisher: Dover Pubns
ISBN: N.A
Category: Mathematics
Page: 240
View: 9299

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What sort of mathematics do I need for computer science? In response, a pair of professors at the University of California at San Diego created this text. Explores Boolean functions and computer arithmetic; logic; number theory and cryptography; sets and functions; equivalence and order; and induction, sequences, and series. Assumes some familiarity with calculus. Original 2005 edition.

Applications of Tensor Analysis


Author: A. J. McConnell
Publisher: Courier Corporation
ISBN: 0486603733
Category: Mathematics
Page: 318
View: 5419

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Standard work applies tensorial methods to subjects within realm of advanced college mathematics. Text explains fundamental ideas and notation of tensor theory; covers geometrical treatment of tensor algebra; introduces theory of differentiation of tensors; and applies mathematics to dynamics, electricity, elasticity and hydrodynamics. 685 exercises, most with answers.

An Introduction to Differential Geometry


Author: T. J. Willmore
Publisher: Courier Corporation
ISBN: 0486282104
Category: Mathematics
Page: 336
View: 2115

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This text employs vector methods to explore the classical theory of curves and surfaces. Topics include basic theory of tensor algebra, tensor calculus, calculus of differential forms, and elements of Riemannian geometry. 1959 edition.

A Collection of Problems on Complex Analysis


Author: Lev Izrailevich Volkovyskiĭ
Publisher: Courier Dover Publications
ISBN: N.A
Category: Mathematics
Page: 426
View: 1500

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Over 1500 problems on theory of functions of the complex variable; coverage of nearly every branch of classical function theory. Topics include conformal mappings, integrals and power series, Laurent series, parametric integrals, integrals of the Cauchy type, analytic continuation, Riemann surfaces, much more. Answers and solutions at end of text. Bibliographical references. 1965 edition.

The Early Mathematical Manuscripts of Leibniz


Author: Gottfried Wilhelm Freiherr von Leibniz
Publisher: Courier Dover Publications
ISBN: N.A
Category: Mathematics
Page: 238
View: 8568

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The manuscripts and correspondence of Leibniz possess a special interest: they are invaluable as aids to the study of their author's part in the invention and development of the infinitesimal calculus. In addition, the main ideas behind Leibniz's philosophical theories lay here, in his mathematical work. This volume consists of two sections. The first part features Leibniz's own accounts of his work, and the second section comprises critical and historical notes and essays. An informative Introduction leads to the "postscript" to Leibniz's 1703 letter to James Bernoulli, his "Historia et Origio Calculi Differentialis," and manuscripts of the period 1673-77. Essays by the distinguished scholar C. I. Gerhardt follow--Leibniz in London and Leibniz and Pascal, along with additional letters and manuscripts by Leibniz.

The Theory of Remainders


Author: Andrea Rothbart
Publisher: Courier Dover Publications
ISBN: N.A
Category: Mathematics
Page: 178
View: 582

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An imaginative introduction to number theory, this unique approach employs a pair of fictional characters, Ant and Gnam. Ant leads Gnam through a variety of theories, and together, they put the theories into action—applying linear diophantine equations to football scoring, using a black-magic device to simplify problems in modular structures, and developing intriguing modifications to the rules of chess. Appropriate for anyone familiar with algebra at the high-school level, The Theory of Remainders offers a captivating introduction to both number theory and abstract algebra. Both elementary and challenging, it provides a view of mathematics as a conceptual net and illustrates the differences between conceptual and paraconceptual claims—an excellent start to expanding students' perspectives on mathematics. Exercises throughout the book form an integral part of the text, extending students' experience with the concepts under discussion and presenting opportunities to observe patterns. In addition to the exercises, a series of optional problems allows more advanced readers to further develop the concepts.

Books for college libraries

a selected list of approximately 53,400 titles based on the initial selection made for the University of California's New Campuses Program and selected with the assistance of college teachers, Librarians, and other advisers
Author: Melvin John Voigt,Joseph H. Treyz,American Library Association
Publisher: N.A
ISBN: N.A
Category: Language Arts & Disciplines
Page: 1056
View: 9083

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