Differential Equations with Boundary-Value Problems

Front Cover
Cengage Learning, May 13, 2008 - Mathematics - 608 pages
8 Reviews
DIFFERENTIAL EQUATIONS WITH BOUNDARY-VALUE PROBLEMS, 7th Edition strikes a balance between the analytical, qualitative, and quantitative approaches to the study of differential equations. This proven and accessible text 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. Using a straightforward, readable, and helpful style, this book provides a thorough treatment of boundary-value problems and partial differential equations.
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Review: Differential Equations with Boundary-Value Problems

User Review  - Nelson - Goodreads

I absolutely love this book. I'm in graduate-level PDEs right now and I still use this book as a reference. It contains examples for just about every type of problem. It offers sufficient explanation ... Read full review

Review: Differential Equations with Boundary-Value Problems

User Review  - Faraz - Goodreads

i want to read Read full review

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Contents

INTRODUCTION TO DIFFERENTIAL EQUATIONS
1
FIRSTORDER DIFFERENTIAL EQUATIONS
34
MODELING WITH FIRSTORDER DIFFERENTIAL EQUATIONS
82
HIGHERORDER DIFFERENTIAL EQUATIONS
117
MODELING WITH HIGHERORDER DIFFERENTIAL EQUATIONS
181
SERIES SOLUTIONS OF LINEAR EQUATIONS
219
THE LAPLACE TRANSFORM
255
SYSTEMS OF LINEAR FIRSTORDER DIFFERENTIAL EQUATIONS
303
BOUNDARYVALUE PROBLEMS IN RECTANGULAR COORDINATES
432
BOUNDARYVALUE PROBLEMS IN OTHER COORDINATE SYSTEMS
471
INTEGRAL TRANSFORMS
488
NUMERICAL SOLUTIONS OF PARTIAL DIFFERENTIAL EQUATIONS
511
GAMMA FUNCTION
527
MATRICES
529
LAPLACE TRANSFORMS
547
ANSWERS FOR SELECTED ODDNUMBERED PROBLEMS
551

NUMERICAL SOLUTIONS OF ORDINARY DIFFERENTIAL EQUATIONS
339
PLANE AUTONOMOUS SYSTEMS
363
ORTHOGONAL FUNCTIONS AND FOURIER SERIES
397

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About the author (2008)

Dennis G. Zill is professor of mathematics at Loyola Marymount University. His interests are in applied mathematics, special functions, and integral transforms. Dr. Zill received his Ph.D. in applied mathematics and his M.S. from Iowa State University in 1967 and 1964, respectively. He received his B.A. from St. Mary's in Winona, Minnesota, in 1962. Dr. Zill also is former chair of the Mathematics Department at Loyola Marymount University. He is the author or co-author of 13 mathematics texts.

Professor Michael Cullen, late of Loyola Marymount University, was awarded the President's Fritz B. Burns Distinguished Teaching Award for Excellence in Teaching and Scholarship in 1999. Dr. Cullen received his Ph.D. in complex variables from the University of Iowa in 1968. He received his M.S. from the University of Iowa in 1967 and his B.S. from Loyola University of Los Angeles in 1965. His interest was in biomathematics. Dr. Cullen also authored two texts in mathematics: MATHEMATICS FOR THE BIOSCIENCES and LINEAR MODELS IN BIOLOGY.

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