Tensor analysis with applications in mechanics / Leonid P. Lebedev, Michael J. Cloud, Victor, A. Eremeyev.

Format:

Book

Author/Creator:

Lebedev, L. P.

Contributor:

Cloud, Michael J.

Eremeyev, Victor A.

Language:

English

Subjects (All):

Calculus of tensors.

Physical Description:

1 online resource (380 p.)

Edition:

[New ed.].

Place of Publication:

Singapore ; Hackensack, N.J. : World Scientific, c2010.

Language Note:

English

Summary:

The tensorial nature of a quantity permits us to formulate transformation rules for its components under a change of basis. These rules are relatively simple and easily grasped by any engineering student familiar with matrix operators in linear algebra. More complex problems arise when one considers the tensor fields that describe continuum bodies. In this case general curvilinear coordinates become necessary. The principal basis of a curvilinear system is constructed as a set of vectors tangent to the coordinate lines. Another basis, called the dual basis, is also constructed in a special man

Contents:

Foreword; Preface; Contents; Tensor Analysis; Applications in Mechanics; Appendix A Formulary; Appendix B Hints and Answers; Bibliography; Index

Notes:

Description based upon print version of record.

Includes bibliographical references (p. 355-357) and index.

ISBN:

9786612763878

9781282763876

1282763873

9789814313995

9814313998

OCLC:

696298097