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Edition: 8TH 00

Copyright: 2000

Publisher: John Wiley & Sons, Inc.

Published: 2000

International: No

Copyright: 2000

Publisher: John Wiley & Sons, Inc.

Published: 2000

International: No

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Introduces engineers, computer scientists, and physicists to advanced math topics as they relate to practical problems. The material is arranged into seven independent parts: ODE; Linear Algebra, Vector calculus; Fourier Analysis and Partial Differential Equations; Complex Analysis; Numerical methods; Optimization, graphs; Probability and Statistics.

**ORDINARY DIFFERENTIAL EQUATIONS.**

First-Order Differential Equations.

Linear Differential Equations of Second and Higher Order.

Systems of Differential Equations, Phase Plane, Qualitative Methods.

Series Solutions of Differential Equations. Special Functions.

Laplace Transforms.

**LINEAR ALGEBRA, VECTOR CALCULUS.**

Linear Algebra: Matrices, Vectors, Determinants. Linear Systems of Equations.

Linear Algebra: Matrix Eigenvalue Problems.

Vector Differential Calculus. Grad, Div, Curl.

Vector Integral Calculus. Integral Theorems.

**FOURIER ANALYSIS AND PARTIAL DIFFERENTIAL EQUATIONS.**

Fourier Series, Integrals, and Transforms.

Partial Differential Equations.

**COMPLEX ANALYSIS.**

Complex Numbers and Functions. Conformal Mapping.

Complex Integration.

Power Series, Taylor Series.

Laurent Series, Residue Integration.

Complex Analysis Applied to Potential Theory.

**NUMERICAL METHODS.**

Numerical Methods in General.

Numerical Methods in Linear Algebra.

Numerical Methods for Differential Equations.

**OPTIMIZATION, GRAPHS.**

Unconstrained Optimization, Linear Programming.

Graphs and Combinatorial Optimization.

**PROBABILITY AND STATISTICS.**

Data Analysis. Probability Theory.

Mathematical Statistics.

Appendices.

Index.

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Summary

Introduces engineers, computer scientists, and physicists to advanced math topics as they relate to practical problems. The material is arranged into seven independent parts: ODE; Linear Algebra, Vector calculus; Fourier Analysis and Partial Differential Equations; Complex Analysis; Numerical methods; Optimization, graphs; Probability and Statistics.

Table of Contents

**ORDINARY DIFFERENTIAL EQUATIONS.**

First-Order Differential Equations.

Linear Differential Equations of Second and Higher Order.

Systems of Differential Equations, Phase Plane, Qualitative Methods.

Series Solutions of Differential Equations. Special Functions.

Laplace Transforms.

**LINEAR ALGEBRA, VECTOR CALCULUS.**

Linear Algebra: Matrices, Vectors, Determinants. Linear Systems of Equations.

Linear Algebra: Matrix Eigenvalue Problems.

Vector Differential Calculus. Grad, Div, Curl.

Vector Integral Calculus. Integral Theorems.

**FOURIER ANALYSIS AND PARTIAL DIFFERENTIAL EQUATIONS.**

Fourier Series, Integrals, and Transforms.

Partial Differential Equations.

**COMPLEX ANALYSIS.**

Complex Numbers and Functions. Conformal Mapping.

Complex Integration.

Power Series, Taylor Series.

Laurent Series, Residue Integration.

Complex Analysis Applied to Potential Theory.

**NUMERICAL METHODS.**

Numerical Methods in General.

Numerical Methods in Linear Algebra.

Numerical Methods for Differential Equations.

**OPTIMIZATION, GRAPHS.**

Unconstrained Optimization, Linear Programming.

Graphs and Combinatorial Optimization.

**PROBABILITY AND STATISTICS.**

Data Analysis. Probability Theory.

Mathematical Statistics.

Appendices.

Index.

Publisher Info

Publisher: John Wiley & Sons, Inc.

Published: 2000

International: No

Published: 2000

International: No

**ORDINARY DIFFERENTIAL EQUATIONS.**

First-Order Differential Equations.

Linear Differential Equations of Second and Higher Order.

Systems of Differential Equations, Phase Plane, Qualitative Methods.

Series Solutions of Differential Equations. Special Functions.

Laplace Transforms.

**LINEAR ALGEBRA, VECTOR CALCULUS.**

Linear Algebra: Matrices, Vectors, Determinants. Linear Systems of Equations.

Linear Algebra: Matrix Eigenvalue Problems.

Vector Differential Calculus. Grad, Div, Curl.

Vector Integral Calculus. Integral Theorems.

**FOURIER ANALYSIS AND PARTIAL DIFFERENTIAL EQUATIONS.**

Fourier Series, Integrals, and Transforms.

Partial Differential Equations.

**COMPLEX ANALYSIS.**

Complex Numbers and Functions. Conformal Mapping.

Complex Integration.

Power Series, Taylor Series.

Laurent Series, Residue Integration.

Complex Analysis Applied to Potential Theory.

**NUMERICAL METHODS.**

Numerical Methods in General.

Numerical Methods in Linear Algebra.

Numerical Methods for Differential Equations.

**OPTIMIZATION, GRAPHS.**

Unconstrained Optimization, Linear Programming.

Graphs and Combinatorial Optimization.

**PROBABILITY AND STATISTICS.**

Data Analysis. Probability Theory.

Mathematical Statistics.

Appendices.

Index.