Elementary Differential Equations Boundary Value Problems (6E) by Henry Edwards, David Penney
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About this book :-
Elementary Differential Equations Boundary Value Problems (6E) written by
Charles Henry Edwards, David E. Penney .
The evolution of the present text in successive editions is based on experience teaching the introductory differential equations course with an emphasis on conceptual ideas and the use of applications and projects to involve students in active problem-solving experiences. At various points our approach reflects the widespread use of technical computing environments like Maple, Mathematica, and MATLAB for the graphical, numerical, or symbolic solution of differential equations.
Nevertheless, we continue to believe that the traditional elementary analytical methods of solution are important for students to learn and use. One reason is that effective and reliable use of computer methods often requires preliminary analysis using standard symbolic techniques; the construction of a realistic computational model often is based on the study of a simpler analytical model.
While the successful features of preceding editions have been retained, the exposition has been significantly enhanced in every chapter and in most individual sections of the text. Both new graphics and new text have been inserted where needed for improved student understanding of key concepts. However, the solid class-tested chapter and section structure of the book is unchanged, so class notes and syllabi will not require revision for use of this new edition. The following examples of this revision illustrate the way the local structure of the text has been augmented and polished for this edition.
(Charles Henry Edwards, David E. Penney)
Book Detail :-
Title: Elementary Differential Equations Boundary Value Problems
Edition: 6th
Author(s): Charles Henry Edwards, David E. Penney
Publisher: Pearson
Series:
Year: 2007
Pages: 784
Type: PDF
Language: English
ISBN: 0136006132,9780136006138
Country: US
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About Author :-
The author Henry Edwards, University of Georgia, received his Ph.D. from the University of Tennesee in 1960. He then taught at the University of Wisconsin for three years and spent a year at the Institute for Advanced Study (Princeton) as an Alfred P. Sloan Research Fellow. Professor Edwards has just completed his thirtythird year of teaching at Georgia (including teaching calculus almost every year) and has received numerous University-wide teaching awards. His scholarly career has ranged from research and dissertation direction in topology to the history of mathematics to computing and technology in mathematics ( his focus in recent years). In addition to his calculus, advanced calculus, linear algebra, and differential equations textbooks, he is also well-known to calculus instructors as author of The Historical Development of the Calculus.
The author David Penney, University of Georgia, completed his Ph.D. at Tulane University in 1965 while teaching at the University of New Orleans. Earlier he had worked in experimental biophysics at Tulane University and the Veteran's Administration Hospital in New Orleans. He began teaching calculus in 1957 and has taught the course almost every term since then. He joined the mathematics department at the University of Georgia in 1966 and has since received numerous university wide teaching awards as well as directing several doctoral dissertations and undergraduate research projects. He is the author of research papers in number theory and topology and is author or co-author of books on calculus, differential equations, linear algebra, and liberal arts mathematics.
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Book Contents :-
Elementary Differential Equations Boundary Value Problems (6E) written by
Charles Henry Edwards, David E. Penney
cover the following topics.
1. First-Order Differential Equations
2. Linear Equations of Higher Order
3. Power Series Methods
4. Laplace Transform Methods
5. Linear Systems of Differential Equations
6. Numerical Methods
7. Nonlinear Systems and Phenomena
8. Fourier Series Methods
9. Eigenvalues and Boundary Value Problems
References for Further Study
Appendix: Existence and Uniqueness of Solutions
Answers to Selected Problems
Index
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