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Introduction to Applied Mathematics by Gilbert Strang (1986, Hardcover)

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Renowned applied mathematician Gilbert Strang teaches applied mathematics with the clear explanations, examples and insights of an experienced teacher. It clearly demonstrates the power of matrix algebra in engineering problem solving.

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Product Information

Renowned applied mathematician Gilbert Strang teaches applied mathematics with the clear explanations, examples and insights of an experienced teacher. This book progresses steadily through a range of topics from symmetric linear systems to differential equations to least squares and Kalman filtering and optimization. It clearly demonstrates the power of matrix algebra in engineering problem solving. This is an ideal book (beloved by many readers) for a first course on applied mathematics and a reference for more advanced applied mathematicians. The only prerequisite is a basic course in linear algebra.

Product Identifiers

Publisher
Wellesley-Cambridge Press
ISBN-10
0961408804
ISBN-13
9780961408800
eBay Product ID (ePID)
964572

Product Key Features

Author
Gilbert Strang
Publication Name
Introduction to Applied Mathematics
Format
Hardcover
Language
English
Subject
General
Publication Year
1986
Type
Textbook
Subject Area
Mathematics
Number of Pages
760 Pages

Dimensions

Item Length
9.6 in
Item Height
1.6 in
Item Width
6.7 in
Item Weight
43.4 Oz

Additional Product Features

LCCN
84-052450
Lc Classification Number
Qa37.2 .S87 1986
Table of Content
1. Symmetric Linear Systems: 1.1 Introduction; 1.2 Gaussian elimination; 1.3 Positive definite matrices; 1.4 Minimum principles; 1.5 Eigenvalues and dynamical systems; 1.6 A review of matrix theory; 2. Equilibrium Equations: 2.1 A framework for the applications; 2.2 Constraints and Lagrange multipliers; 2.3 Electrical networks; 2.4 Structures in equilibrium; 2.5 Least squares estimation and the Kalman filter; 3. Equilibrium in the Continuous Case: 3.1 One-dimensional problems; 3.2 Differential equations of equilibrium; 3.3 Laplace's equation and potential flow; 3.4 Vector calculus in three dimensions; 3.5 Equilibrium of fluids and solids; 3.6 Calculus of variations; 4. Analytical Methods: 4.1 Fourier series and orthogonal expansions; 4.2 Discrete Fourier series and convolution; 4.3 Fourier integrals; 4.4 Complex variables and conformal mapping; 4.5 Complex integration; 5. Numerical Methods: 5.1 Linear and nonlinear equations; 5.2 Orthogonalization and eigenvalue problems; 5.3 Semi-direct and iterative methods; 5.4 The finite element method; 5.5 The fast Fourier transform; 6. Initial-Value Problems: 6.1 Ordinary differential equations; 6.2 Stability and the phase plane and chaos; 6.3 The Laplace transform and the z-transform; 6.4 The heat equation vs. the wave equation; 6.5 Difference methods for initial-value problems; 6.6 Nonlinear conservation laws; 7. Network Flows and Combinatorics: 7.1 Spanning trees and shortest paths; 7.2 The marriage problem; 7.3 Matching algorithms; 7.4 Maximal flow in a network; 8. Optimization: 8.1 Introduction to linear programming; 8.2 The simplex method and Karmarkar's method; 8.3 Duality in linear programming; 8.4 Saddle points (minimax) and game theory; 8.5 Nonlinear optimization; Software for scientific computing; References and acknowledgements; Solutions to selected exercises; Index.
Copyright Date
2009
Target Audience
College Audience
Dewey Decimal
510
Dewey Edition
19
Illustrated
Yes

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5 out of 5 stars
by urnightingaleMar 07, 2007
Great book
A little hard to follow but if you really really try you get a lot out of it...Great book...explores topics in detail.

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