Partial Differential Equations:Methods, Applications and Theories Book PDF, ePub eBook

Join our eBook service for unlimited books & audiobooks. Get a free 7 day subscription! ↓↓↓↓↓


Book Descriptions:

This volume is an introductory level textbook for partial differential equations (PDE's) and suitable for a one-semester undergraduate level or two-semester graduate level course in PDE's or applied mathematics. Chapters One to Five are organized according to the equations and the basic PDE's are introduced in an easy to understand manner. They include the first-order equations and the three fundamental second-order equations, i.e. the heat, wave and Laplace equations. Through these equations we learn the types of problems, how we pose the problems, and the methods of solutions such as the separation of variables and the method of characteristics. The modeling aspects are explained as well. The methods introduced in earlier chapters are developed further in Chapters Six to Twelve. They include the Fourier series, the Fourier and the Laplace transforms, and the Green's functions. The equations in higher dimensions are also discussed in detail.

This volume is application-oriented and rich in examples. Going through these examples, the reader is able to easily grasp the basics of PDE's.

Contents:

• First and Second Order Linear Equations — Preparation
• Heat Equation
• Wave Equation
• Laplace Equation
• First Order Equations Revisited
• Fourier Series and Eigenvalue Problems
• Separation of Variables in Higher Dimensions
• More Separation of Variables
• Fourier Transform
• Laplace Transform
• Higher Dimensional Problems — Other Approaches
• Green's Functions

Readership: Undergraduate students in Math, Science, and Engineering.

Partial Differential Equations:Methods, Applications and Theories by Harumi Hattori

From reader reviews:

Martha Skaggs:

Information is provisions for individuals to get better life, information these days can get by anyone with everywhere. The information can be a knowledge or any news even a concern. What people must be consider if those information which is in the former life are challenging to be find than now is taking seriously which one is suitable to believe or which one the particular resource are convinced. If you have the unstable resource then you have it as your main information we will see huge disadvantage for you. All of those possibilities will not happen inside you if you take Partial Differential Equations:Methods, Applications and Theories as your daily resource information.

John Warner:

The reason? Because this Partial Differential Equations:Methods, Applications and Theories is an unordinary book that the inside of the book waiting for you to snap the item but latter it will jolt you with the secret that inside. Reading this book beside it was fantastic author who write the book in such awesome way makes the content on the inside easier to understand, entertaining technique but still convey the meaning fully. So , it is good for you for not hesitating having this ever again or you going to regret it. This book will give you a lot of benefits than the other book get such as help improving your skill and your critical thinking way. So , still want to delay having that book? If I had been you I will go to the book store hurriedly.

James Furlow:

Reading can called brain hangout, why? Because if you find yourself reading a book mainly book entitled Partial Differential Equations:Methods, Applications and Theories the mind will drift away trough every dimension, wandering in every single aspect that maybe unknown for but surely will end up your mind friends. Imaging every word written in a guide then become one contact form conclusion and explanation this maybe you never get previous to. The Partial Differential Equations:Methods, Applications and Theories giving you one more experience more than blown away your thoughts but also giving you useful info for your better life within this era. So now let us explain to you the relaxing pattern this is your body and mind will probably be pleased when you are finished examining it, like winning a sport. Do you want to try this extraordinary paying spare time activity?

Charles Gray:

That guide can make you to feel relax. This specific book Partial Differential Equations:Methods, Applications and Theories was bright colored and of course has pictures around. As we know that book Partial Differential Equations:Methods, Applications and Theories has many kinds or variety. Start from kids until teens. For example Naruto or Private eye Conan you can read and feel that you are the character on there. Therefore not at all of book are usually make you bored, any it can make you feel happy, fun and unwind. Try to choose the best book to suit your needs and try to like reading that.