Mathematics applied to continuum mechanics / Lee A. Segel ; with additional material on elasticity by G.H. Handelman.

Format:

Book

Author/Creator:

Segel, Lee A.

Contributor:

Handelman, G. H.

Society for Industrial and Applied Mathematics.

Series:

Classics in applied mathematics ; 52.

Classics in applied mathematics ; 52

Language:

English

Subjects (All):

Continuum mechanics.

Mathematics.

Physical Description:

1 electronic text (xxiii, 590 p. : ill.) : digital file.

Place of Publication:

Philadelphia, Pa. : Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104), 2007.

Language Note:

English

System Details:

Mode of access: World Wide Web.

System requirements: Adobe Acrobat Reader.

Summary:

This book focuses on the fundamental ideas of continuum mechanics by analyzing models of fluid flow and solid deformation and examining problems in elasticity, water waves, and extremum principles. Mathematics Applied to Continuum Mechanics gives an excellent overview of the subject, with an emphasis on clarity, explanation, and motivation. Audience: upper-level undergraduate and graduate students in the fields of applied mathematics, science, and engineering.

Contents:

Vectors, determinants, and motivation for tensors

Cartesian tensors

Viscous fluids

Foundations in elasticity

Some examples of static problems in elasticity

Introduction to dynamic problems in elasticity

Formulation of the theory of surface waves in an inviscid fluid

Solution in the linear theory

Group speed and group velocity

Nonlinear effects

Calculus of variations

Characterization of Eigenvalues and equilibrium states as extrema.

Notes:

Originally published: New York : Macmillan, c1977.

Includes bibliographical references (p. 571-577) and index.

Description based on title page of print version.

ISBN:

0-89871-908-9

Publisher Number:

CL52 siam

CL52 SIAM