Advanced Engineering Mathematics with MATLAB, Second Edition

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CRC Press, Mar 28, 2003 - Mathematics - 840 pages
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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.
 

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Contents

Chapter 1 Complex Variables
1
Chapter 2 FirstOrder Ordinary Differential Equations
70
Chapter 3 HigherOrder Ordinary Differential Equations
125
Chapter 4 Fourier Series
200
Chapter 5 The Fourier Transform
268
Chapter 6 The Laplace Transform
333
Chapter 7 The ZTransform
423
Chapter 8 The Hilbert Transform
473
Chapter 10 The Wave Equation
569
Chapter 11 The Heat Equation
645
Chapter 12 Laplaces Equation
754
Chapter 13 Vector Calculus
823
Chapter 14 Linear Algebra
879
Answers To the OddNumbered Problems
929
Index
953
Copyright

Chapter 9 The SturmLiouville Problem
501

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