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Author: A. I. Borisenko
Publisher: Courier Corporation
Published: 2012-08-28
Total Pages: 292
ISBN-13: 0486131904
DOWNLOAD EBOOKConcise, 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.
Author: C. E. Springer
Publisher: Courier Corporation
Published: 2013-09-26
Total Pages: 258
ISBN-13: 048632091X
DOWNLOAD EBOOKAssuming 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.
Author: Dwight E. Neuenschwander
Publisher: JHU Press
Published: 2015
Total Pages: 244
ISBN-13: 142141564X
DOWNLOAD EBOOKIt is an ideal companion for courses such as mathematical methods of physics, classical mechanics, electricity and magnetism, and relativity.--Gary White, editor of The Physics Teacher "American Journal of Physics"
Author: Robert C. Wrede
Publisher: Courier Corporation
Published: 2013-01-30
Total Pages: 436
ISBN-13: 0486137112
DOWNLOAD EBOOKExamines general Cartesian coordinates, the cross product, Einstein's special theory of relativity, bases in general coordinate systems, maxima and minima of functions of two variables, line integrals, integral theorems, and more. 1963 edition.
Author: D. E. Bourne
Publisher: Academic Press
Published: 2014-05-10
Total Pages: 271
ISBN-13: 1483260704
DOWNLOAD EBOOKVector Analysis and Cartesian Tensors, Second Edition focuses on the processes, methodologies, and approaches involved in vector analysis and Cartesian tensors, including volume integrals, coordinates, curves, and vector functions. The publication first elaborates on rectangular Cartesian coordinates and rotation of axes, scalar and vector algebra, and differential geometry of curves. Discussions focus on differentiation rules, vector functions and their geometrical representation, scalar and vector products, multiplication of a vector by a scalar, and angles between lines through the origin. The text then elaborates on scalar and vector fields and line, surface, and volume integrals, including surface, volume, and repeated integrals, general orthogonal curvilinear coordinates, and vector components in orthogonal curvilinear coordinates. The manuscript ponders on representation theorems for isotropic tensor functions, Cartesian tensors, applications in potential theory, and integral theorems. Topics include geometrical and physical significance of divergence and curl, Poisson's equation in vector form, isotropic scalar functions of symmetrical second order tensors, and diagonalization of second-order symmetrical tensors. The publication is a valuable reference for mathematicians and researchers interested in vector analysis and Cartesian tensors.
Author: Louis Brand
Publisher:
Published: 1947
Total Pages: 472
ISBN-13:
DOWNLOAD EBOOKAuthor: Eutiquio C. Young
Publisher: CRC Press
Published: 1992-12-22
Total Pages: 530
ISBN-13: 9780824787899
DOWNLOAD EBOOKRevised and updated throughout, this book presents the fundamental concepts of vector and tensor analysis with their corresponding physical and geometric applications - emphasizing the development of computational skills and basic procedures, and exploring highly complex and technical topics in simplified settings.;This text: incorporates transformation of rectangular cartesian coordinate systems and the invariance of the gradient, divergence and the curl into the discussion of tensors; combines the test for independence of path and the path independence sections; offers new examples and figures that demonstrate computational methods, as well as carify concepts; introduces subtitles in each section to highlight the appearance of new topics; provides definitions and theorems in boldface type for easy identification. It also contains numerical exercises of varying levels of difficulty and many problems solved.
Author: George E. Hay
Publisher: Courier Corporation
Published: 1953-01-01
Total Pages: 210
ISBN-13: 0486601099
DOWNLOAD EBOOK"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.
Author: Juan R. Ruiz-Tolosa
Publisher: Springer Science & Business Media
Published: 2005-12-08
Total Pages: 675
ISBN-13: 3540270663
DOWNLOAD EBOOKThis textbook deals with tensors that are treated as vectors. Coverage details such new tensor concepts as the rotation of tensors, the transposer tensor, the eigentensors, and the permutation tensor structure. The book covers an existing gap between the classic theory of tensors and the possibility of solving tensor problems with a computer. A complementary computer package, written in Mathematica, is available through the Internet.
Author: Harry Lass
Publisher: New York, McGraw-Hill
Published: 1950
Total Pages: 368
ISBN-13:
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