9789382993797

NEW NEW NEW NEW Size : 150mm x 230mm • Pages : xvi+376pp

• Year : 2014 • Binding : Paperback • ISBN : 9789382993797 • Price ` 495.00 only

Partial Differential Equations Methods, Applications and Theories Harumi Hattori Harumi Hattori, West Virginia University, USA

Partial Differential Equations

Six to Twelve. They include the Fourier series, the Fourier and the Laplace transforms, and the Green’s functions. The equations in higher dimensions are also discussed in detail.

Methods, Applications and Theories

This volume is application-oriented and rich in examples. Going through these examples, the reader is able to easily grasp the basics of PDE’s.

Harumi Hattori

CONTENTS

This volume is an introductory level textbook for partial differential equations (PDE’s) and suitable for a one-semester undergraduate level or twosemester graduate level course in PDE’s or applied mathematics. Chapters One to Five are organized according to the equations and the basic PDE’s are introduced in an easy to understand manner.

They include the first-order equations and the three fundamentals second-order equations, i.e. the heat, wave and Laplace equations. Through these equations we learn the types of problems, how we pose the problems, and the methods of solutions such as the separation of variables and the methods of characteristics. The modeling aspects are explained as well. The methods introduced in earlier chapters are developed further in Chapters

Preface 1. First and Second Order Linear Equations Preparation; 2. Heat Equation;3. Wave Equation; 4. Laplace Equation; 5. First Order Equations Revisited; 6. Fourier Series and Eigenvalue Problems; 7. Separation of Variables in Higher Dimensions; 8. More Separation of Variables; 9. Fourier Transform;10. Laplace Transform; 11. Higher Dimensional Problem - Other Approaches; 12. Green’s Functions Appendices Hints and Solutions to Selected Exercises Bibliography Index

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03/2014