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Advanced Mathematics for Engineers and Scientists 1st Edition by Duchateau Paul ISBN 0486479307 9780486479309

Name: Advanced Mathematics for Engineers and Scientists 1st Edition by Duchateau Paul ISBN 0486479307 9780486479309
SKU: EB-38074726
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Advanced Mathematics for Engineers and Scientists Duchateau Paul Digital Instant Download

Author(s): DuChateau Paul

Edition: Unabridged

File Details: EPUB, 24.64 MB

Year: 2013

Language: english

SKU: EB-38074726 Category: Mathematics - Applied Mathematics Tag: DuChateau Paul

Description

Advanced Mathematics for Engineers and Scientists 1st Edition by Duchateau Paul – Ebook PDF Instant Download/Delivery: 0486479307 ,9780486479309
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Product details:
ISBN 10: 0486479307
ISBN 13: 9780486479309
Author: Duchateau Paul

This book can be used as either a primary text or a supplemental reference for courses in applied mathematics. Its core chapters are devoted to linear algebra, calculus, and ordinary differential equations. Additional topics include partial differential equations and approximation methods. Each chapter features an ample selection of solved problems. These problems were chosen to illustrate not only how to solve various algebraic and differential equations but also how to interpret the solutions in order to gain insight into the behavior of the system modeled by the equation. In addition to the worked-out problems, numerous examples and exercises appear throughout the text.

Advanced Mathematics for Engineers and Scientists 1st Edition Table of contents:

1 – Systems of Linear Algebraic Equations

SYSTEMS OF SIMULTANEOUS LINEAR EQUATIONS

LINEAR ALGEBRA

SOLVED PROBLEMS

2 – Algebraic Eigenvalue Problems

DETERMINANTS

EIGENVALUES AND EIGENVECTORS

SOLVED PROBLEMS

3 – Multivariable Calculus

MULTIVARIABLE DIFFERENTIAL CALCULUS

MULTIVARIABLE INTEGRAL CALCULUS

SOLVED PROBLEMS

4 – Ordinary Differential Equations: Linear Initial Value Problems

INITIAL VALUE PROBLEMS FOR SINGLE EQUATIONS

SOLVED PROBLEMS

5 – Nonlinear Ordinary Differential Equations

NONLINEAR EQUATIONS

NONLINEAR SYSTEMS

SOLVED PROBLEMS

6 – Linear Boundary Value Problems

LINEAR BOUNDARY VALUE PROBLEMS

STURM-LIOUVILLE PROBLEMS

A FUNCTION SPACE

SINGULAR STURM-LIOUVILLE PROBLEMS

SOLVED PROBLEMS

7 – Fourier Series and Eigenfunction Expansions

FORMAL PROPERTIES OF FOURIER SERIES

GENERALIZED FOURIER SERIES

SOLVED PROBLEMS

Convergence of Fourier Series

8 – Integral Transforms

THE FOURIER TRANSFORM

LAPLACE TRANSFORM

SOLVED PROBLEMS

9 – Linear Problems in Partial Differential Equations

PARTIAL DIFFERENTIAL EQUATIONS

SOLVED PROBLEMS

10 – Linear and Nonlinear Partial Differential Equations

FIRST ORDER EQUATIONS

SOLVED PROBLEMS

11 – Functional Optimization and Variational Methods

FUNCTIONAL OPTIMIZATION

SOLVED PROBLEMS

12 – Finite Difference Methods for Differential Equations

ORDINARY DIFFERENTIAL EQUATIONS

PARTIAL DIFFERENTIAL EQUATIONS

SOLVED PROBLEMS

13 – Introduction to the Finite Element Method

APPROXIMATION METHODS

THE FINITE ELEMENT METHOD

SOLVED PROBLEMS

Index

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Tags: Duchateau Paul, Advanced Mathematics, Engineers, Scientists