Advanced engineering mathematics / Merle C. Potter, Jack L. Lessing, Edward F. Aboufadel.
2019
TA330 .P68 2019
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Details
Title
Advanced engineering mathematics / Merle C. Potter, Jack L. Lessing, Edward F. Aboufadel.
Author
Potter, Merle C., author.
Edition
Fourth edition.
ISBN
9783030170684 (electronic book)
3030170683 (electronic book)
9781842651858
3030170683 (electronic book)
9781842651858
Published
Cham : Springer, [2019]
Language
English
Description
1 online resource (xiv, 739 p.)
Item Number
10.1007/978-3-030-17
Call Number
TA330 .P68 2019
Dewey Decimal Classification
620.00151
Summary
This book is designed to serve as a core text for courses in advanced engineering mathematics required by many engineering departments. The style of presentation is such that the student, with a minimum of assistance, can follow the step-by-step derivations. Liberal use of examples and homework problems aid the student in the study of the topics presented. Ordinary differential equations, including a number of physical applications, are reviewed in Chapter One. The use of series methods are presented in Chapter Two, Subsequent chapters present Laplace transforms, matrix theory and applications, vector analysis, Fourier series and transforms, partial differential equations, numerical methods using finite differences, complex variables, and wavelets. The material is presented so that four or five subjects can be covered in a single course, depending on the topics chosen and the completeness of coverage. Incorporated in this textbook is the use of certain computer software packages. Short tutorials on Maple, demonstrating how problems in engineering mathematics can be solved with a computer algebra system, are included in most sections of the text. Problems have been identified at the end of sections to be solved specifically with Maple, and there are computer laboratory activities, which are more difficult problems designed for Maple. In addition, MATLAB and Excel have been included in the solution of problems in several of the chapters. There is a solutions manual available for those who select the text for their course. This text can be used in two semesters of engineering mathematics. The many helpful features make the text relatively easy to use in the classroom.
Note
Includes index.
Access Note
Access limited to authorized users.
Source of Description
Description based on online resource; title from digital title page (viewed on July 17, 2019).
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Table of Contents
Chapter 1: Ordinary Differential Equations
Chapter 2: Series Method
Chapter 3: Laplace Transforms
Chapter 4: The Theory of Matrices
Chapter 5: Matrix Applications
Chapter 6: Vector Analysis
Chapter 7: Fourier Series
Chapter 8: Partial Differential Equations
Chapter 9: Numerical Methods
Chapter 10: Complex Variables
Chapter 11: Wavelets
For Further Study
Appendices.
Chapter 2: Series Method
Chapter 3: Laplace Transforms
Chapter 4: The Theory of Matrices
Chapter 5: Matrix Applications
Chapter 6: Vector Analysis
Chapter 7: Fourier Series
Chapter 8: Partial Differential Equations
Chapter 9: Numerical Methods
Chapter 10: Complex Variables
Chapter 11: Wavelets
For Further Study
Appendices.