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.
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.
New Product Tab
Here's your new product tab.
Lavina –
Wow, superb weblog layout! How lengthy have you been blogging for?
you made blogging look easy. The whole glance of your website is fantastic, as well as the content!
You can see similar here najlepszy sklep
Tammie –
Hey! Do you know if they make any plugins to assist with Search Engine Optimization? I’m trying
to get my blog to rank for some targeted keywords but I’m not seeing very good gains.
If you know of any please share. Thanks! You can read similar blog here: Dobry sklep
Keira –
Hi there! Do you know if they make any plugins to
help with SEO? I’m trying to get my blog to rank for
some targeted keywords but I’m not seeing very good success.
If you know of any please share. Kudos! You can read
similar art here: Sklep internetowy
Hudson –
Howdy! Do you know if they make any plugins to assist with SEO?
I’m trying to get my blog to rank for some targeted keywords but I’m
not seeing very good success. If you know of any please share.
Thanks! You can read similar text here: Dobry sklep
Leonor –
Way cool! Some extremely valid points! I appreciate
you penning this write-up and also the rest of the site
is also very good.
My homepage … vpn special code
Houston –
Hi to every , for the reason that I am truly keen of reading this weblog’s post to be updated on a regular basis.
It consists of nice information.
My website … vpn special coupon code 2024
Sung –
Hello there! Do you know if they make any plugins to assist with SEO?
I’m trying to get my website to rank for some targeted keywords but I’m not seeing very good gains.
If you know of any please share. Thanks! I saw similar
text here: Auto Approve List
Travis –
Hey! Do you know if they make any plugins to assist
with Search Engine Optimization? I’m trying to get my website to rank for some targeted keywords but
I’m not seeing very good gains. If you know of any please share.
Many thanks! I saw similar art here: Backlink Portfolio
Hudson –
Hey there! Do you know if they make any plugins to help
with Search Engine Optimization? I’m trying to
get my website to rank for some targeted keywords but I’m not seeing very good gains.
If you know of any please share. Thank you! You can read
similar art here: Backlink Building
Elana –
May I simply just say what a comfort to discover someone who genuinely knows
what they are talking about on the web. You actually realize how to bring a problem to light and make it important.
More people ought to read this and understand this side of
the story. I was surprised that you’re not more popular because you certainly have the gift.
Also visit my homepage; vpn special coupon code 2024
Sara –
Hello everyone, it’s my first visit at this web site, and paragraph is in fact fruitful
in support of me, keep up posting such content.
Look at my webpage – vpn coupon code 2024
Micaela –
There is definately a great deal to find out about this subject.
I like all the points you’ve made.
My web site :: vpn special coupon
Hong –
Wow, fantastic weblog layout! How long have you ever been running a blog for?
you make blogging look easy. The entire look of your website
is wonderful, let alone the content! You can see similar here e-commerce