Mathematics Applied to Continuum Mechanics
Published on 30. September 2007
Book
Paperback/Softback
613 pages
978-0-89871-620-7 (ISBN)
Description
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. It provides an overview of the subject, with an emphasis on clarity, explanation, and motivation. Extensive exercises and a valuable section containing hints and answers make this an excellent text for both classroom use and independent study.
More details
Series
Language
English
Place of publication
New York
United States
Target group
Professional and scholarly
Product notice
Paperback (trade)
Unsewn / adhesive bound
Dimensions
Height: 228 mm
Width: 152 mm
Thickness: 32 mm
Weight
816 gr
ISBN-13
978-0-89871-620-7 (9780898716207)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Person
Lee A. Segel (1932-2005) was the Henry and Bertha Benson Professor of Mathematics at the Weizmann Institute of Science. He also served as Head of the Department of Applied Mathematics, Dean of the Faculty of Mathematical Sciences, and Chairman of the Scientific Council. Professor Segel taught at institutions throughout the United States, most recently at the Santa Fe Institute. G. H. Handelman is the Amos Eaton Professor Emeritus in the Department of Mathematical Sciences at Rensselaer Polytechnic Institute.
Content
Foreword to the Classics Edition
Preface
Contents
Conventions
Part A: Geometrical Prerequisites for Three-Dimensional Continuum Mechanics
Chapter 1: Vectors, Determinants, and Motivation for Tensors
Chapter 2: Cartesian Tensors
Part B: Problems in Continuum Mechanics
Chapter 3: Viscous Fluids
Chapter 4: Foundations of Elasticity
Chapter 5: Some Examples of Static Problems in Elasticity
Chapter 6: Introduction to Dynamic Problems in Elasticity
Part C: Water Waves
Chapter 7: Formulation of the Theory of Surface Waves in an Inviscid Fluid
Chapter 8: Solution in the Linear Theory
Chapter 9: Group Speed and Group Velocity
Chapter 10: Nonlinear Effects
Part D: Variational Methods and Extremum Principles
Chapter 11: Calculus of Variations
Chapter 12: Characterization of Eigenvalues and Equilibrium States as Extrema
Bibliography
Hints and Answers
Index.
Preface
Contents
Conventions
Part A: Geometrical Prerequisites for Three-Dimensional Continuum Mechanics
Chapter 1: Vectors, Determinants, and Motivation for Tensors
Chapter 2: Cartesian Tensors
Part B: Problems in Continuum Mechanics
Chapter 3: Viscous Fluids
Chapter 4: Foundations of Elasticity
Chapter 5: Some Examples of Static Problems in Elasticity
Chapter 6: Introduction to Dynamic Problems in Elasticity
Part C: Water Waves
Chapter 7: Formulation of the Theory of Surface Waves in an Inviscid Fluid
Chapter 8: Solution in the Linear Theory
Chapter 9: Group Speed and Group Velocity
Chapter 10: Nonlinear Effects
Part D: Variational Methods and Extremum Principles
Chapter 11: Calculus of Variations
Chapter 12: Characterization of Eigenvalues and Equilibrium States as Extrema
Bibliography
Hints and Answers
Index.