Calculus and differential equations with mathematica / Pramote Dechaumphai.

Format:

Book

Author/Creator:

Dechaumphai, Pramote, author.

Language:

English

Subjects (All):

Mathematica (Computer file).

Differential equations--Data processing.

Differential equations.

Calculus--Data processing.

Calculus.

Physical Description:

1 online resource (xii, 428 pages) : illustrations

Edition:

1st ed.

Place of Publication:

Oxford, U.K. : Alpha Science International Ltd., [2016]

Summary:

Symbolic mathematics software have played an important role in learning calculus and differential equations. MATHEMATICA is one of the most powerful software being used to solve various types of problems in mathematics. This book presents a clear and easy-to-understand on how to use MATHEMATICA to solve calculus and differential equation problems. The book contains essential topics that are taught in calculus and differential equation courses. These topics are the limits, differentiation, integration, series, ordinary differential equations, Laplace and Fourier transforms, as well as special functions normally encountered in solving science and engineering problems. Numerical methods, in addition, are employed when the exact solutions are not available. The finite element method developed in the latest MATHEMATICA version is used to analyse partial differential equations for problems with complex geometry. The partial differential equations could be in elliptic, parabolic and hyperbolic forms. A large number of examples are presented with detailed derivation for their solutions before using MATHEMATICA to confirm the same results. With the clear explanation of all topics in this book and with the help of MATHEMATICA software, students will enjoy learning calculus and differential equations as compared to the traditional way in the past.

Contents:

Cover page

Title page

Full title page

Copyright

Preface

Contents

Chapter 1 Symbolic Mathematics by Mathematica

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:

1-78332-312-4

OCLC:

1017976544