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Elementary Differential Equations with Boundary Value Problems, 5th Edition, by C. Henry Edwards, David E. Penney
Get Free Ebook Elementary Differential Equations with Boundary Value Problems, 5th Edition, by C. Henry Edwards, David E. Penney
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This accessible, attractive, and interesting book enables readers to first solve those differential equations that have the most frequent and interesting applications. This approach illustrates the standard elementary techniques of solution of differential equations. Precise and clear-cut statements of fundamental existence and uniqueness theorems allow understanding of their role in this subject. A strong numerical approach emphasizes that the effective and reliable use of numerical methods often requires preliminary analysis using standard elementary techniques. The first few sections of most chapters introduce the principle ideas of each topic, with remaining sections devoted to extensions and applications. Topics covered include first-order differential equations, linear equations of higher order, power series methods, Laplace transform methods, linear systems of differential equations, numerical methods, nonlinear systems and phenomena, Fourier series methods, and Eigenvalues and boundary value problems. For those involved in the fields of science, engineering, and mathematics.
- Sales Rank: #1017208 in Books
- Published on: 2003-11-09
- Original language: English
- Number of items: 1
- Dimensions: 10.32" h x 1.28" w x 8.20" l,
- Binding: Hardcover
- 768 pages
From the Publisher
Focused on the standard elementary techniques of solution of differential equations and the mathematical modeling of real-world situations, this book anticipates and addresses the questions and difficulties typically encountered by those studying the subject for the first time.
From the Back Cover
Key Benefit:Anticipates and addresses the questions and difficulties that students typically encounter when they study standard elementary techniques of solution of differential equations and the mathematical modeling of real-world situations. Key Topics: Features computer-generated artwork to illustrate geometric aspects of differential equations; revised discussion of numerical methods; simple BASIC programs; and over 1800 computational drill problems and diverse applications to help explain first order differential equations, linear equations of higher order, nonlinear differential equations and systems, fourier series and separation of variables, Eigenvalues and boundary value problems. and more. Market: For sophomore/junior-level professors of differential equations.
About the Author
C. Henry Edwards is emeritus professor of mathematics at the University of Georgia. He earned his Ph.D. at the University of Tennessee in 1960, and recently retired after 40 years of classroom teaching (including calculus or differential equations almost every term) at the universities of Tennessee, Wisconsin, and Georgia, with a brief interlude at the Institute for Advanced Study (Princeton) as an Alfred P. Sloan Research Fellow. He has received numerous teaching awards, including the University of Georgia's honoratus medal in 1983 (for sustained excellence in honors teaching), its Josiah Meigs award in 1991 (the institution's highest award for teaching), and the 1997 statewide Georgia Regents award for research university faculty teaching excellence. His scholarly career has ranged from research and dissertation direction in topology to the history of mathematics to computing and technology in the teaching and applications of mathematics. In addition to being author or co-author of calculus, advanced calculus, linear algebra, and differential equations textbooks, he is well-known to calculus instructors as author of The Historical Development of the Calculus (Springer-Verlag, 1979). During the 1990s he served as a principal investigator on three NSF-supported projects: (1) A school mathematics project including Maple for beginning algebra students, (2) A Calculus-with-Mathematica program, and (3) A MATLAB-based computer lab project for numerical analysis and differential equations students. David E. Penney, University of Georgia, completed his Ph.D. at Tulane University in 1965 (under the direction of Prof. L. Bruce Treybig) 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 under the direction of Robert Dixon McAfee, where Dr. McAfee's research team's primary focus was on the active transport of sodium ions by biological membranes. Penney's primary contribution here was the development of a mathematical model (using simultaneous ordinary differential equations) for the metabolic phenomena regulating such transport, with potential future applications in kidney physiology, management of hypertension, and treatment of congestive heart failure. He also designed and constructed servomechanisms for the accurate monitoring of ion transport, a phenomenon involving the measurement of potentials in microvolts at impedances of millions of megohms. Penney began teaching calculus at Tulane in 1957 and taught that course almost every term with enthusiasm and distinction until his retirement at the end of the last millennium. During his tenure at the University of Georgia he received numerous University-wide teaching awards as well as directing several doctoral dissertations and seven undergraduate research projects. He is the author of research papers in number theory and topology and is the author or co-author of textbooks on calculus, computer programming, differential equations, linear algebra, and liberal arts mathematics.
Most helpful customer reviews
9 of 9 people found the following review helpful.
Amazing book
By Isaque Dutra
I bought the 5th edition of this book for my Differential Equations course and I am extremely satisfied with it. This book is clearly a great source for anyone interested in the subject. It has plenty of great examples in each chapter and it also includes many problems at the end of each section. Just make sure that you buy the book WITH "Boundary Value Problems" which includes two extra chapters: "Fourier Series Methods" and "Eigenvalues and Boundary Value Problems".
9 of 10 people found the following review helpful.
Another excellent book by Edwards and Penney
By Thomas
I bought this book after finishing "Calculus Early Transcendentals" by the same authors. This is another book that is so well-written that it doesn't require a teacher.
There are 9 chapters in all: 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.
The most important part of studying any maths book is doing the exercises. In each exercise, make sure that you solve one problem of each type. (Don't do much more than this or you'll get overworked; don't do much less than this or you won't get enough practice.) This way you'll end up solving roughly 10 problems from each exercise. Make sure you use MATLAB (or any similar software) whenever a problem requires it. Remember that this book requires a solid background of high-school calculus, and be prepared to work hard. Good luck with it.
6 of 6 people found the following review helpful.
Kind of a Ripoff
By Eva
This isn't the best differential equations book. The explanations are satisfactory, but the overall quality is definitely not the best you could find. It does not mention complex methods as a way of solving trigonometric inputs, which makes the equations much easier to solve. This book was required for a class I'm taking at MIT. If I could do it over, I would probably just get the pdf for problems and buy a better differential equations book for a reference. It's not bad, but it's not the best.
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