Calculus and differential equations with MATLAB / Pramote Dechaumphai.

Format:

Book

Author/Creator:

Dechaumphai, Pramote, author.

Language:

English

Subjects (All):

MATLAB.

Differential equations.

Physical Description:

1 online resource (xii, 441 pages) : illustrations

Edition:

1st ed.

Place of Publication:

Oxford, U.K. : Alpha Science International Ltd. ; Bangkok : Chulalongkorn University Press, [2016]

Summary:

Calculus and Differential Equations with MATLAB presents a clear, easy-to-understand on how to use MATLAB to solve calculus and differential equation problems. The book contains eleven chapters with essential materials that are taught in calculus and differential equation courses. These include: - Limits, differentiation and integration. - Taylor, maclaurin and other infinite series. - Ordinary differential equations. - Laplace and Fourier transforms. - Partial differential equations. - Numerical and finite element methods. - Special functions (error, gamma, beta, Bessel, Airy, Legendre, etc.). Exact solutions are derived before showing MATLAB commands to provide the same solutions. Numerical methods are used to obtain approximate solutions when exact solutions are not available. The book contains a large number of examples and homework problems to demonstrate the capability of symbolic mathematics in MATLAB for solving calculus and differential equation problems.

Contents:

Cover page

Title page

Full title page

Copyright

Preface

Contents

Chapter 1 Symbolic Mathematics by MATLAB

Chapter 2 Calculus

Chapter 3 Differential Equations

Chapter 4 First-Order Differential Equations

Chapter 5 Second-Order Linear Differential Equations

Chapter 6 Higher-Order Linear Differential Equations

Chapter 7 Laplace Transforms

Chapter 8 Fourier Transforms

Chapter 9 Boundary Value Problems

Chapter 10 Partial Differential Equations

Chapter 11 Special Functions

Bibliography

Index.

Notes:

Description based on print version record.

ISBN:

1-78332-313-2

OCLC:

1020286247