Vector and Tensor Analysis with Applications

Author: A. I. Borisenko,I. E. Tarapov

Publisher: Courier Corporation

ISBN: 0486131904

Category: Mathematics

Page: 288

View: 3886

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Concise, readable text ranges from definition of vectors and discussion of algebraic operations on vectors to the concept of tensor and algebraic operations on tensors. Worked-out problems and solutions. 1968 edition.
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Tensor and Vector Analysis

With Applications to Differential Geometry

Author: C. E. Springer

Publisher: Courier Corporation

ISBN: 048632091X

Category: Mathematics

Page: 256

View: 9067

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Assuming only a knowledge of basic calculus, this text's elementary development of tensor theory focuses on concepts related to vector analysis. The book also forms an introduction to metric differential geometry. 1962 edition.
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Applications of Tensor Analysis

Author: A. J. McConnell

Publisher: Courier Corporation

ISBN: 0486603733

Category: Mathematics

Page: 318

View: 5509

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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.
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Tensor Analysis on Manifolds

Author: Richard L. Bishop,Samuel I. Goldberg

Publisher: Courier Corporation

ISBN: 0486139239

Category: Mathematics

Page: 288

View: 6642

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DIVProceeds from general to special, including chapters on vector analysis on manifolds and integration theory. /div
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Vector and Tensor Analysis

Author: George E. Hay

Publisher: Courier Corporation

ISBN: 0486601099

Category: Mathematics

Page: 193

View: 9951

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"Remarkably comprehensive, concise and clear." — Industrial Laboratories "Considered as a condensed text in the classical manner, the book can well be recommended." — Nature Here is a clear introduction to classic vector and tensor analysis for students of engineering and mathematical physics. Chapters range from elementary operations and applications of geometry, to application of vectors to mechanics, partial differentiation, integration, and tensor analysis. More than 200 problems are included throughout the book.
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Tensor Calculus

Author: J. L. Synge,A. Schild

Publisher: Courier Corporation

ISBN: 048614139X

Category: Mathematics

Page: 336

View: 7608

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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.
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Elements of Tensor Calculus

Author: A. Lichnerowicz

Publisher: Courier Dover Publications

ISBN: 0486811867

Category: Mathematics

Page: 176

View: 4563

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This classic introductory text, geared toward undergraduate students of mathematics, is the work of an internationally renowned authority on tensor calculus. The two-part treatment offers a rigorous presentation of tensor calculus as a development of vector analysis as well as discussions of the most important applications of tensor calculus. Starting with a chapter on vector spaces, Part I explores affine Euclidean point spaces, tensor algebra, curvilinear coordinates in Euclidean space, and Riemannian spaces. Part II examines the use of tensors in classical analytical dynamics and details the role of tensors in special relativity theory. The book concludes with a brief presentation of the field equations of general relativity theory.
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Vector Analysis

Author: Louis Brand

Publisher: Courier Corporation

ISBN: 048615484X

Category: Mathematics

Page: 304

View: 4669

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This text was designed as a short introductory course to give students the tools of vector algebra and calculus, as well as a brief glimpse into the subjects' manifold applications. 1957 edition. 86 figures.
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Tensor Calculus

A Concise Course

Author: Barry Spain

Publisher: Courier Corporation

ISBN: 0486428311

Category: Mathematics

Page: 125

View: 7742

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A compact exposition of the theory of tensors, this text also illustrates the power of the tensor technique by its applications to differential geometry, elasticity, and relativity. Explores tensor algebra, the line element, covariant differentiation, geodesics and parallelism, and curvature tensor. Also covers Euclidean 3-dimensional differential geometry, Cartesian tensors and elasticity, and the theory of relativity. 1960 edition.
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