Differential Equations And Applications

175

Authors: Arumugam S, Thangapandi Isaac A, Somasundaram A

ISBN: 9789388005371

Copy Right Year: 2020

Pages:  288

Binding: Soft Cover

Publisher:  Yes Dee Publishing

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SKU: 9789388005371 Category:

Description

This is a textbook designed to meet the requirements of undergraduate students in Mathematics. It can be comfortably covered in one semester. The content has been tested in the classroom by several professors over the past four decades and the book has been well received by the student community.

Additional information

Weight .3 kg
Dimensions 22 × 14 × 2 cm

Table of Content

Chapter 1  DIFFERENTIAL EQUATIONS OF FIRST ORDER
1.1 Introduction
1.2 Differential Equations
1.3 Equations of First Order and First Degree
1.4 Exact Differential Equations
1.5 Integrating Factors
1.6 Linear Equations
1.7 Bernouillis Equations
1.8 Equations of First Order and Higher Degree
Chapter 2  LINEAR EQUATIONS OF HIGHER ORDER
2.1 Introduction
2.2 Linear Equations with Constant Coefficients
2.3 Methods of Finding Complementary Functions
2.4 Methods of Finding Particular Integrals
2.5 Homogeneous Linear Equations
2.6 Linear Equations with Variable Coefficients
2.7 Simultaneous Linear Differential Equations
2.8 Total Differential Equations
Chapter 3  LAPLACE TRANSFORM
3.1 Introduction
3.2 Inverse Laplace Transform
3.3 Solution Using Laplace Transform
Chapter 4  PARTIAL DIFFERENTIAL EQUATIONS
4.1 Introduction
4.2 Formation of Partial Differential Equations
4.3 First Order Partial Differential Equations
4.4 Solving First Order PDE
4.5 Some Standard Forms
4.6 Charpit’s Method
Chapter 5  PARTIAL DIFFERENTIAL EQUATIONS OF HIGHER ORDER
5.1 Introduction
5.2 Homogeneous Differential Equations
Chapter 6  APPLICATIONS OF DIFFERENTIAL EQUATIONS
6.1 Introduction
6.2 Orthogonal Trajectories
6.3 Growth and Decay
6.4 Continuous Compound Interest
6.5 The Brachistochrone Problem
6.6 Tautochronous Property of the Cycloid
6.7 Simple Electric Circuits
6.8 Falling Bodies
6.9 Simple Harmonic Motion
6.10 Simple Pendulum
6.11 Central Forces
6.12 Planetary Motion
6.13 Dynamical Problems with Variable Mass

About The Authors

Dr. S. Arumugam is currently senior professor (research) and director, National Centre for Advanced research in Mathematics (n-CARDMATH), Kalasalingam Academy of Research and Education, Krishnankoil, India. He has completed 50 years of academic life and has authored 30 books including two textbooks in Tamil. He has organized 27 conferences and workshops and has edited 12 proceedings. He has guided 44 Ph.D candidates and has published around 250 papers in national and international journals. His areas of research interest are graph theory and applications, biological networks, social networks, visual cryptography and topological projective planes. He has served as visiting/adjunct/conjoint professor in several universities in Australia, UK and USA. He has visited more than 20 countries for delivering invited talks in conferences. He is the founder editor-in-chief of AKCE International Journal of Graphs and Combinatorics.

Mr. A. Thangapandi Isaac, who got retired as head of the department of Mathematics, St. John’s College, Palayamkottai has 30 years of experience in teaching. He is also a coauthor of around 20 books along with Professor S. Arumugam.

 

Dr. A. Somasundaram is presently working as an associate professor at Birla Institute of Technology and Science Pilani – Dubai campus. He is having 22 years of experience in teaching and research in Mathematics. His research areas include fuzzy graphs, domination in graphs and network science. He has to his credit several publications in standard international journals. He is also a coauthor of five textbooks.

 

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