Differential Equations with Boundary-Value Problems (8E) by Dennis G. Zill, Warren S. Wright, Michael R. Cullen
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Differential Equations with Boundary-Value Problems (8E) written by
Dennis G. Zill, Warren S. Wright, Michael R. Cullen .
Authors of books live with the hope that someone actually reads them. Contrary to what you might believe, almost everything in a typical college-level mathematics text is written for you and not the instructor. True, the topics covered in the text are chosen to appeal to instructors because they make the decision on whether to use it in their classes, but everything written in it is aimed directly at you the student. So I want to encourage you—no, actually I want to tell you—to read this textbook! But do not read this text as you would a novel; you should not read it fast and you should not skip anything. Think of it as a workbook. By this I mean that mathematics should always be read with pencil and paper at the ready because, most likely, you will have to work your way through the examples and the discussion. Before attempting any problems in the section exercise sets, work through all the examples in that section. The examples are constructed to illustrate what I consider the most important aspects of the section, and therefore, reect the procedures necessary to work most of the problems. When reading an example, copy it down on a piece of paper and do not look at the solution in the book. Try working it, then compare your results against the solution given, and, if necessary resolve any differences. I have tried to include most of the important steps in each example, but if something is not clear you should always try—and here is where the pencil and paper come in again—to ll in the details or missing steps. This may not be easy, but it is part of the learning process. The accumulation of facts followed by the slow assimilation of understanding simply cannot be achieved without a struggle.
This textbook is strikes a balance between the analytical, qualitative, and quantitative approaches to the study of differential equations. This proven and accessible book speaks to beginning engineering and math students through a wealth of pedagogical aids, including an abundance of examples, explanations, "Remarks" boxes, definitions, and group projects. Written in a straightforward, readable, and helpful style, the book provides a thorough treatment of boundary-value problems and partial differential equations.
(Dennis G. Zill)
Book Detail :-
Title: Differential Equations with Boundary-Value Problems
Edition: 8th
Author(s): Dennis G. Zill, Warren S. Wright, Michael R. Cullen
Publisher: Brooks Cole
Series:
Year: 2012
Pages:
Type: PDF
Language: English
ISBN: 1111827060,9781111827069
Country: US
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About Author :-
Author Dennis G. Zill is Professor of Mathematics from Loyola Marymount University, Los Angeles, CA, United States
Author Warren S. Wright is Professor of Mathematics from Loyola Marymount University, Los Angeles, CA, United States.
Author Michael R. Cullen is Professor of Mathematics from Loyola Marymount University, Los Angeles, CA, United States.
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Differential Equations with Boundary-Value Problems (8E) written by
Dennis G. Zill, Warren S. Wright, Michael R. Cullen
cover the following topics.
1. INTRODUCTION TO DIFFERENTIAL EQUATIONS
2. FIRST-ORDER DIFFERENTIAL EQUATIONS
3. MODELING WITH FIRST-ORDER DIFFERENTIAL EQUATIONS
4. HIGHER-ORDER DIFFERENTIAL EQUATIONS
5. MODELING WITH HIGHER-ORDER DIFFERENTIAL EQUATIONS
6. SERIES SOLUTIONS OF LINEAR EQUATIONS
7. THE LAPLACE TRANSFORM
8. SYSTEMS OF LINEAR FIRST-ORDER DIFFERENTIAL EQUATIONS
9. NUMERICAL SOLUTIONS OF ORDINARY DIFFERENTIAL EQUATIONS
10. PLANE AUTONOMOUS SYSTEMS
11. FOURIER SERIES
12. BOUNDARY-VALUE PROBLEMS IN RECTANGULAR COORDINATES
13. BOUNDARY-VALUE PROBLEMS IN OTHER COORDINATE SYSTEMS
14. INTEGRAL TRANSFORMS
15. NUMERICAL SOLUTIONS OF PARTIAL DIFFERENTIAL EQUATIONS
APPENDIXES
APPENDIXES I Gamma Function APP-1
APPENDIXES II Matrices APP-3
APPENDIXES III Laplace Transforms APP-21
Answers for Selected Odd-Numbered Problems ANS-1
Index I-1
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