Applied Mathematics
Published on 14. September 1987
Book
Hardback
590 pages
978-0-471-85083-0 (ISBN)
Description
This text presents, for the first time at an elementary level, current topics in applied mathematics such as singular perturbation, nonlinear wave propagation, bifurcation, similarity methods and the numerical solution of partial differential equations. It emphasizes the interdependency of mathematics and its application to physical phenomena, and is written in a style accessible to readers with a wide range of interests and backgrounds. There is also coverage of scaling and dimensional analysis, calculus of variations, Fourier and transform methods for partial differential equations and intergral equations.
More details
Language
English
Place of publication
New York
United States
Publishing group
John Wiley and Sons Ltd
Target group
College/higher education
Professional and scholarly
Illustrations
Ill.
Dimensions
Height: 240 mm
Width: 150 mm
Weight
992 gr
ISBN-13
978-0-471-85083-0 (9780471850830)
Copyright in bibliographic data is held by Nielsen Book Services Limited or its licensors: all rights reserved.
Schweitzer Classification
Other editions
New editions
J. David Logan
Applied Mathematics
Book
12/1996
2nd Edition
Wiley
€115.00
Article exhausted; check for reprint
Content
DIMENSIONAL ANALYSIS AND SCALING: Dimensional Analysis; The Buckingham Pi Theorem; Scaling; PERTURBATION METHODS: Regular Perturbation; Singular Perturbation; Boundary Layer Analysis; Two Applications; CALCULUS OF VARIATIONS: Variational Problems; Necessary Conditions for Extrema; The Simplest Problem; Generalizations; Hamiltonian Theory; Isoperimetric Problems; EQUATIONS OF APPLIED MATHEMATICS: Partial Differential Equations; The Diffusion Equation; Classical Techniques; Integral Equations; WAVE PHENOMENA IN CONTINUOUS SYSTEMS: Wave Propagation; Mathematical Models of Continua; The Wave Equation; Gasdynamics; Fluid Motions in R3; STABILITY AND BIFURCATION: Intuitive Ideas; One Dimensional Problems; Two Dimensional Problems; Hydrodynamic Stability; SIMILARITY METHODS; Invariant Variational Problems; Invariant Partial Differential Equations; The General Similarity Method; DIFFERENCE METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS: Finite Difference Methods; The Diffusion Equation; The Laplace Equation; Hyperbolic Equations; Index.