Advanced Engineering Mathematics with MATLAB

Advanced Engineering Mathematics with MATLAB

by Dean G. Duffy
Advanced Engineering Mathematics with MATLAB

Advanced Engineering Mathematics with MATLAB

by Dean G. Duffy

Paperback(5th ed.)

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Overview

    FROM THE PUBLISHER
  • Incorporates the use of MATLAB to help readers visualize and understand the mathematics and solve problems requiring heavy computation
  • Brings relevance to the material through many examples, most drawn from the engineering and scientific literature
  • Introduces the z transform, of great importance in digital technologies
  • Includes a new chapter on the Hilbert transform, crucial to work in communications
  • Incorporates a wealth of examples from the scientific and engineering literature and an abundance of exercises that help build problem-solving skills

A solutions manual is available with qualifying course adoptions.

Resoundingly popular in its first edition, Dean Duffy's Advanced Engineering Mathematics has been updated, expanded, and now more than ever provides the solid mathematics background required throughout the engineering disciplines. Melding the author's expertise as a practitioner and his years of teaching engineering mathematics, this text stands clearly apart from the many others available.

Relevant, insightful examples follow nearly every concept introduced and demonstrate its practical application. This edition includes two new chapters on differential equations, another on Hilbert transforms, and many new examples, problems, and projects that help build problem-solving skills. Most importantly, the book now incorporates the use of MATLAB throughout the presentation to reinforce the concepts presented. MATLAB code is included so readers can take an analytic result, fully explore it graphically, and gain valuable experience with this industry-standard software.

Product Details

ISBN-13: 9781032164984
Publisher: CRC Press
Publication date: 08/26/2024
Series: Advances in Applied Mathematics
Edition description: 5th ed.
Pages: 616
Product dimensions: 7.00(w) x 10.00(h) x (d)

About the Author

Dean G. Duffy is a former mathematics instructor at the US Naval Academy and US Military Academy. He spent 25 years working on numerical weather prediction, oceanic wave modeling, and dynamical meteorology at NASA’s Goddard Space Flight Center. Prior to this, he was a numerical weather prediction officer in the US Air Force. He earned his Ph.D. in meteorology from MIT. Dr. Duffy has written several books on transform methods, engineering mathematics, and mixed boundary value problems including Green’s Functions with Applications, Second Edition, published by CRC Press.

Table of Contents

Introduction
List of Definitions
Chapter 1: First-Order Ordinary Differential Equations 1
Chapter 2: Higher-Order Ordinary Differential Equations
Chapter 3: Linear Algebra
Chapter 4: Vector Calculus
Chapter 5: Fourier Series
Chapter 6: The Fourier Transform
Chapter 7: The Laplace Transform
Chapter 8: The Wave Equation
Chapter 9: The Heat Equation
Chapter 10: Laplace’s Equation
Chapter 11: The Sturm-Liouville Problem
Chapter 12: Special Functions
Appendix A: Derivation of the Laplacian in Polar Coordinates 565
Appendix B: Derivation of the Laplacian in Spherical Polar Coordinates 566
Answers
Index
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