DIFFERENTIAL EQUATIONS AND THEIR APPLICATIONS

Front Cover
PHI Learning Pvt. Ltd., Jan 1, 2004 - Mathematics - 528 pages
0 Reviews
Primarily intended for the undergraduate students in Mathematics, Physics and Engineering, this text gives in-depth coverage of differential equations and the methods of solving them. The book begins with the basic definitions, the physical and geometric origins of differential equations, and the methods for solving first-order differential equations. Then it goes on to give the applications of these equations to such areas as biology, medical sciences, electrical engineering and economics. The text also discusses, systematically and logically, higher-order differential equations and their applications to telecom-munications, civil engineering, cardiology and detec-tion of diabetes, as also the methods of solving simultaneous differential equations and their applica-tions. Besides, the book provides a detailed discussion on Laplace transform and their applications, partial differential equations and their applications to vibration of a stretched string, heat flow, transmission lines, etc., and calculus of variations and its applications. This book, which is a happy fusion of theory and application, would also be useful to postgraduate students.
 

What people are saying - Write a review

We haven't found any reviews in the usual places.

Contents

DIFFERENTIAL EQUATIONS OF FIRST ORDER
27
Exercises
63
APPLICATIONS OF FIRST ORDER DIFFERENTIAL
78
Exercises 755
155
HIGHER ORDER LINEAR DIFFERENTIAL EQUATIONS 162229
162
APPLICATIONS OF HIGHERORDER DIFFERENTIAL
230
SYSTEMS OF LINEAR DIFFERENTIAL EQUATIONS
299
LAPLACE TRANSFORMS AND THEIR APPLICATIONS
353
Exercis es
388
Exercises
439
Bibliography 485486
485
Index 511514
507
Copyright

Other editions - View all

Common terms and phrases

Popular passages

Page 4 - The degree of a differential equation is the degree of the highest derivative after removing the radical sign and fraction.
Page 4 - SOLUTION OF A DIFFERENTIAL EQUATION A solution of a differential equation is a relation between the...

About the author (2004)

ZAFAR AHSAN, Ph.D., is with the Department of Mathematics, Aligarh Muslim University, Aligarh. He is also visiting associate, Inter University Centre for Astronomy and Astrophysics, Pune. A member of Astronomical Society of India, Indian Society of Industrial and Applied Mathematics, a council member of Indian Association for General Relativity and Gravi-tation, and managing editor of The Aligarh Bulletin of Mathematics, Dr. Ahsan has published a number of research papers in prestigious national and internatio-nal journals, and has authored a book, Vector Analysis.

Bibliographic information