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 telecommunications, civil
engineering, cardiology and detection of diabetes, as
also the methods of solving simultaneous differential
equations and their applications. 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
Table of Contents
Preface. Preface to the First Edition. Basic
Concepts. Differential Equations of First Order and
First Degree. Equations of the First Order
but not of the First Degree. Applications of First-
order Differential Equations. Higher-order Linear
Differential Equations. Applications of Higher-order
Differential Equations. Systems of Linear Differential
Equations and Their Applications. Laplace Transforms
and Their Applications to Differential Equations.
Partial Differential Equations and Their Applications.
Calculus of Variations and Its Applications.
Bibliography. Answers to Exercises. Index.
|Title:||Differential Equations And Their Applications|
|Number of Pages:||528|
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