1.

Record Nr.

UNINA9910456186503321

Autore

Lebedev L. P

Titolo

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

Pubbl/distr/stampa

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

ISBN

1-282-76387-3

9786612763878

981-4313-99-8

Edizione

[[New ed.].]

Descrizione fisica

1 online resource (380 p.)

Altri autori (Persone)

CloudMichael J

EremeyevVictor A

Disciplina

515.63

Soggetti

Calculus of tensors

Electronic books.

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di bibliografia

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

Nota di contenuto

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

Sommario/riassunto

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