Elementary Course in Partial Differential Equations, An , Third Edition
Author(s): T. Amaranath
ISBN: 978-81-8487-781-6
E-ISBN: Publication Year: 2023
Pages: 170
Binding: Paper Back Dimension: 160mm x 240mm Weight: 270
Textbook
About the book
The highly successful text now in its third edition has enjoyed immense popularity amongst the student and academic community and has been widely used as a textbook in several universities for senior undergraduate and postgraduate students of engineering and mathematics.
Key Features
SALIENT FEATURES:
• Useful for students for preparation of competitive examination like CSIR/UGC (NET), GATE and UPSC
• Study of first and second order partial differential equations respectively covered
• Worked examples and exercises with solutions at end of each chapter
• Added useful information provided in the appendices
NEW TO THIS EDITION:
• Linear partial differential equations with constant coefficients added
• New problems added
Table of Contents
Preface / Preface to the Second Edition and Third Edition / First Order P.D.E.: Curves and Surfaces / Genesis of First Order P.D.E. / Classification of Integrals / Linear Equations of the First Order / Pfaffian Differential Equations / Compatible Systems / Charpit’s Method / Jacobi’s Method / Integral Surfaces Through a Given Curve / Non-linear First Order P.D.E. / Second Order P.D.E.: Genesis of Second Order P.D.E. / Classification of Second Order P.D.E. / One Dimensional Wave Equation / Laplace’s Equation / Heat Conduction Problems / Duhamel’s Principle / Classification in the Case of N-Variables / Families of Equipotential Surfaces / Kelvin’s Inversion Theorem / A. Fourier Transforms and Integrals / B. A Class of Linear P.D.E. with Constant Co-efficients / C. Additional Problems / Suggested Reading / Index.
Audience
Graduate students of Mathematics, Engineering, Physics & for competitive examinations