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Edition: 7TH 93

Copyright: 1993

Publisher: John Wiley & Sons, Inc.

Published: 1993

International: No

Copyright: 1993

Publisher: John Wiley & Sons, Inc.

Published: 1993

International: No

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The content and character of mathematics needed in applications are changing rapidly. Introduces students of engineering, physics, mathematics and computer science to those areas that are vital to address practical problems. The Seventh Edition offers a self-contained treatment of ordinary differential equations, linear algebra, vector calculus, fourier analysis and partial differential equations, complex analysis, numerical methods, optimization and graphs, probability and statistics. New in this edition are: many sections rewritten to increase readability; problems have been revised and more closely related to examples; instructors manual quadrupled in content; improved balance between applications, algorithmic ideas and theory; reorganized differential equations and linear algebra sections; added and improved examples throughout.

First-Order Differential Equations.

Second-Order Linear Differential Equations.

Higher Order Linear Differential Equations.

Systems of Differential Equations: Phase Plane, Stability.

Series Solutions of Differential Equations: Special Functions.

Laplace Transforms.

Linear Algebra: Matrices, Vectors, Determinants.

Vector Differential Calculus: Grad, Div, Curl.

Vector Integral Calculus: Integral Theorems.

Fourier Series, Integrals, and Transforms.

Partial Differential Equations.

Complex Numbers, Complex Analytic Functions.

Complex Integration.

Power Series, Taylor Series, Laurent Series.

Residue Integration Method.

Conformal Mapping.

Complex Analysis Applied to Potential Theory.

Numerical Methods in General.

Numerical Methods in Linear Algebra.

Numerical Methods for Differential Equations.

Unconstrained Optimization, Linear Programming.

Graphs and Combinatorial Optimization.

Probability Theory.

Mathematical Statistics.

Appendices.

Index.

Summary

The content and character of mathematics needed in applications are changing rapidly. Introduces students of engineering, physics, mathematics and computer science to those areas that are vital to address practical problems. The Seventh Edition offers a self-contained treatment of ordinary differential equations, linear algebra, vector calculus, fourier analysis and partial differential equations, complex analysis, numerical methods, optimization and graphs, probability and statistics. New in this edition are: many sections rewritten to increase readability; problems have been revised and more closely related to examples; instructors manual quadrupled in content; improved balance between applications, algorithmic ideas and theory; reorganized differential equations and linear algebra sections; added and improved examples throughout.

Table of Contents
#### ORDINARY DIFFERENTIAL EQUATIONS.

#### LINEAR ALGEBRA, VECTOR CALCULUS.

#### FOURIER ANALYSIS AND PARTIAL DIFFERENTIAL EQUATIONS.

#### COMPLEX ANALYSIS.

#### NUMERICAL METHODS.

#### OPTIMIZATION, GRAPHS.

#### PROBABILITY AND STATISTICS.

First-Order Differential Equations.

Second-Order Linear Differential Equations.

Higher Order Linear Differential Equations.

Systems of Differential Equations: Phase Plane, Stability.

Series Solutions of Differential Equations: Special Functions.

Laplace Transforms.

Linear Algebra: Matrices, Vectors, Determinants.

Vector Differential Calculus: Grad, Div, Curl.

Vector Integral Calculus: Integral Theorems.

Fourier Series, Integrals, and Transforms.

Partial Differential Equations.

Complex Numbers, Complex Analytic Functions.

Complex Integration.

Power Series, Taylor Series, Laurent Series.

Residue Integration Method.

Conformal Mapping.

Complex Analysis Applied to Potential Theory.

Numerical Methods in General.

Numerical Methods in Linear Algebra.

Numerical Methods for Differential Equations.

Unconstrained Optimization, Linear Programming.

Graphs and Combinatorial Optimization.

Probability Theory.

Mathematical Statistics.

Appendices.

Index.

Publisher Info

Publisher: John Wiley & Sons, Inc.

Published: 1993

International: No

Published: 1993

International: No

First-Order Differential Equations.

Second-Order Linear Differential Equations.

Higher Order Linear Differential Equations.

Systems of Differential Equations: Phase Plane, Stability.

Series Solutions of Differential Equations: Special Functions.

Laplace Transforms.

Linear Algebra: Matrices, Vectors, Determinants.

Vector Differential Calculus: Grad, Div, Curl.

Vector Integral Calculus: Integral Theorems.

Fourier Series, Integrals, and Transforms.

Partial Differential Equations.

Complex Numbers, Complex Analytic Functions.

Complex Integration.

Power Series, Taylor Series, Laurent Series.

Residue Integration Method.

Conformal Mapping.

Complex Analysis Applied to Potential Theory.

Numerical Methods in General.

Numerical Methods in Linear Algebra.

Numerical Methods for Differential Equations.

Unconstrained Optimization, Linear Programming.

Graphs and Combinatorial Optimization.

Probability Theory.

Mathematical Statistics.

Appendices.

Index.