Advanced Engineering Mathematics with MATLAB (4th Edition) - Dean G. Duffy.pdf

(18708 KB) Pobierz
FOURTH EDITION
Advanced
Engineering
Mathematics
with MATLAB
Dean G. Duffy
CRC Press
Taylor & Francis Group
6000 Broken Sound Parkway NW, Suite 300
Boca Raton, FL 33487-2742
© 2017 by Taylor & Francis Group, LLC
CRC Press is an imprint of Taylor & Francis Group, an Informa business
Printed on acid-free paper
Version Date: 20161121
International Standard Book Number-13: 978-1-4987-3964-1 (Hardback)
Library of Congress Cataloging‑in‑Publication Data
Names: Katzman, Steve (IT auditor)
Title: Operational assessment of IT / Steve Katzman.
Description: Boca Raton, FL : CRC Press, 2016. | Series: Internal audit and
IT audit ; 4 | Includes bibliographical references and index.
Identifiers: LCCN 2015037136 | ISBN 9781498737685
Subjects: LCSH: Information technology--Management. | Information
technology--Auditing. | Auditing, Internal.
Classification: LCC HD30.2 .K3857 2016 | DDC 004.068--dc23
LC record available at http://lccn.loc.gov/2015037136
Visit the Taylor & Francis Web site at
http://www.taylorandfrancis.com
and the CRC Press Web site at
http://www.crcpress.com
Contents
Introduction
List of Definitions
xix
xxiii
CLASSIC ENGINEERING MATHEMATICS
Chapter 1:
First-Order Ordinary
Differential Equations
1
1.1 Classification of Differential Equations
1.2 Separation of Variables
1.3 Homogeneous Equations
1
4
16
viii
1.4 Exact Equations
1.5 Linear Equations
1.6 Graphical Solutions
1.7 Numerical Methods
Advanced Engineering Mathematics with M
ATLAB
17
20
31
34
Chapter 2:
Higher-Order Ordinary
Differential Equations
45
2.1 Homogeneous Linear Equations with Constant Coefficients
2.2 Simple Harmonic Motion
2.3 Damped Harmonic Motion
2.4 Method of Undetermined Coefficients
2.5 Forced Harmonic Motion
2.6 Variation of Parameters
2.7 Euler-Cauchy Equation
2.8 Phase Diagrams
2.9 Numerical Methods
49
57
61
66
71
78
83
87
91
Chapter 3:
Linear Algebra
3.1 Fundamentals of Linear Algebra
3.2 Determinants
3.3 Cramer’s Rule
3.4 Row Echelon Form and Gaussian Elimination
3.5 Eigenvalues and Eigenvectors
3.6 Systems of Linear Differential Equations
3.7 Matrix Exponential
97
97
104
108
111
124
133
139

Plik z chomika:

Inne pliki z tego folderu:

Inne foldery tego chomika:

Zgłoś jeśli naruszono regulamin