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Advanced Engineering Mathematics (Student Solutions Manual)

Advanced Engineering Mathematics (Student Solutions Manual) - 8th edition

ISBN13: 978-0471333753

Cover of Advanced Engineering Mathematics (Student Solutions Manual) 8TH 00 (ISBN 978-0471333753)
ISBN13: 978-0471333753
ISBN10: 0471333751
Cover type: Paperback
Edition/Copyright: 8TH 00
Publisher: John Wiley & Sons, Inc.
Published: 2000
International: No

List price: $45.50

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Advanced Engineering Mathematics (Student Solutions Manual) - 8TH 00 edition

ISBN13: 978-0471333753

Erwin Kreyszig

ISBN13: 978-0471333753
ISBN10: 0471333751
Cover type: Paperback
Edition/Copyright: 8TH 00
Publisher: John Wiley & Sons, Inc.

Published: 2000
International: No
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.

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