
- 249 pages
- English
- ePUB (mobile friendly)
- Available on iOS & Android
eBook - ePub
An Introduction to Calculus of variations and Integral Equations
About this book
This textbook entitled "An introduction to Calculus of variations and Integral equations" is intended to study the extremals of different types of variational problems and methods of finding the explicit solutions of integral equations, where ever possible. The absence of methods of finding an exact solution is intended to study the properties of solutions of the given integral equations. This book contains a total of 07 chapters and two sections. section-I includes the calculus of variation, while section-II discusses the part of the Integral Equation. Section-I has been divided into four chapters, while section-II has been divided into 03 chapters.
This book is based on the syllabi of the theory of Calculus of variations and Integral equations prescribed for postgraduate students of mathematics and applied mathematics in different institutions like N.I.T's, I.I.T's, and universities of India abroad. This book will be useful for competitive examinations as well.
This book is based on the syllabi of the theory of Calculus of variations and Integral equations prescribed for postgraduate students of mathematics and applied mathematics in different institutions like N.I.T's, I.I.T's, and universities of India abroad. This book will be useful for competitive examinations as well.
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Yes, you can access An Introduction to Calculus of variations and Integral Equations by Ramakanta Meher in PDF and/or ePUB format, as well as other popular books in Mathematics & Differential Equations. We have over one million books available in our catalogue for you to explore.
Information
Part-I
CALCULUS OF VARIATION
Sl.
Chapters
Page
No
No.
1
Chapter-1
10-51
Introduction to variational calculus
1.1. Introduction
1.2. Euler Equation:
1.3. Minimum Surface of revolution
1.4. Brachistochrone (Shortest time problem)
1.5. Geodesics
1.6. Functional
Involving
higher-order
derivatives:
1.7. Functional Involving more dependent
variables:
1.8. Functional involving two independent
Variable:
2
Chapter-2
52-80
Conditional extremum-isoperimetric
problem
2.1. Isoperimetric problem
2.2. Natural Boundary Conditions
5
R.Meher
3
Chapter-3
81-109
Ordinary differential equations
3.1. Rayleigh-Ritz method
3.2. Essential and Suppressible boundary
conditions:
4
Chapter-4
110-140
Partial differential equations
4.1. Rayleigh-Ritz method
4.2. Kantorovich method
4.3. Movi...
Table of contents
- Start