Schaum's Outline of Partial Differential Equations / Edition 1

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Overview

If you want top grades and thorough understanding of partial differential equations,this powerful study tool is the best tutor you can have! It takes you step-by-step through the subject and gives you 290 accompanying related problems with fully worked solutions. You also get plenty of practice problems to do on your own,working at your own speed. (Answers at the back show you how you're doing. ) Famous for their clarity,wealth of illustrations and examples,and lack of dreary minutiae,Schaum's Outlines have sold more than 30 million copies worldwide—and this guide will show you why!

Master partial differential equations with Schaum's—the high-performance study guide. It will help you cut study time,hone problem-solving skills,and achieve your personal best on exams! Students love Schaum's Outlines because they produce results. Each year,hundreds of thousands of students improve their test scores and final grades with these indispensable study guides. Get the edge on your classmates. Use Schaum's! If you don't have a lot of time but want to excel in class,this book helps you: Brush up before tests; Find answers fast; Study quickly and more effectively; Get the big picture without spending hours poring over lengthy textbooks. Schaum's Outlines give you the information teachers expect you to know in a handy and succinct format—without overwhelming you with unnecessary details. You get a complete overview of the subject. Plus,you get plenty of practice exercises to test your skill. Compatible with any classroom text,Schaum's lets you study at your own pace and reminds you of all the important facts you need to remember—fast! And Schaum's are socomplete,they're perfect for preparing for graduate or professional exams. Inside,you will find: 290 detailed problems with step-by-step solutions; Clear,concise explanations of differential and difference methods; Help with variational formulation of boundary value problems and variational approximation methods; A solved-problem approach that teaches you with hands-on help; Exercises for improving your problem-solving skills. If you want top grades and thorough understanding of partial differential equations,this powerful study tool is the best tutor you can have!

Chapters include: Introduction o Classification and Characteristics o Qualitative Behavior of Solutions to Elliptic Equations o Qualitative Behavior of Solutions to Evolution Equations o First-Order Equations o Eigenfunction Expansions and Integral Transforms: Theory o Eigenfunction Expansions and Integral Transforms: Applications o Green's Functions o Difference Methods for Parabolic Equations o Difference Methods for Hyperbolic Equations o Difference Methods for Elliptic Equations o Variational Formulation of Boundary Value Problems o Variational Approximation Methods o The Finite Element Method: An Introduction o Answers to Supplementary Exercises

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Product Details

  • ISBN-13: 9780070178977
  • Publisher: McGraw-Hill Companies, The
  • Publication date: 1/1/1986
  • Series: Schaum's Outline Series
  • Edition number: 1
  • Pages: 256
  • Product dimensions: 8.20 (w) x 10.80 (h) x 0.41 (d)

Meet the Author

Paul DuChateau, Ph.D. is currently Professor of Mathematics at Colorado State University in Fort Collins, Colorado. He received his B.Sc. in engineering science and his Ph.D. in mathematics at Purdue University in 1962 and 1970 respectively. In addition to teaching, he has worked as an applied mathematician for General Motors and United Aircraft corporations and has held visiting positions at Argonne National laboratory. He has received government funding for research in applied mathematics and has published extensively in the area of partial differential equations.

David W. Zachmann, Ph.D. is Professor of Mathematics at Colorado State University. He received his Ph.D. in applied mathematics from the University of Arizona in 1970 and his B.S. in mathematics from Colorado State University in 1965. During 1983 he was a visiting senior research scientist at the CSIRO Environmental Mechanics Division in Canberra, Australia. His research in applied mathematics has been supported by various government agencies. In addition to his teaching and research activities, he frequently serves as a consultant to industry and government.

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Table of Contents

Introduction.
Classification and Characteristics.
Qualitative Behavior of Solutions to Elliptic Equations.
Qualitative Behavior of Solutions to Evolution Equations.
First-Order EquationsEigenfunction Expansions and Integral Transforms: Theory.
Eigenfunction Expansions and Integral Transforms: Applications.
Green's Functions.
Difference Methods for Parabolic Equations.
Difference and Characteristic Methods for Parabolic Equations.
Difference Methods for Hyperbolic Equations.
Difference Methods for Elliptic Equations.
Variational Formulation of Boundary Value Problems.
The Finite Element Method: An Introduction.
Answers to Supplementary Problems.
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