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Ordinary And Partial Differential Equations, 18e (pb) 2016 by Raisinghania
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ISBNSpecification
  SPECIFICATION
ORDINARY AND PARTIAL DIFFERENTIAL EQUATIONS, 19e (pb) 2017
Author: M.D. RAISINGHANIA
ISBN: 9789352535866
Year: 2017
Publisher: S. CHAND & COMPANY LIMITED
Category: MATHEMATICS
Edition: 19
Format: Paperback
Language: English
Pages: 1280
 ABOUT THE TITLE
Ordinary and Partial Differential Equations" is a comprehensive treatise on the subject with the book divided in three parts for ease of understanding. The book is replete with up to date examples and questions. The three parts divide the book so there is progression of thought and constancy - The first part viz. Elementary Differential Equations covers fundamental topics such as Equations of the First Order & Degree and Exact Differential Equations and Equations of Special Forms and Linear Differential Equations of the Second Order; "Advanced Ordinary Differential Equations and Special Functions" (Part II) covers important topics such as Fourier Series, Bessel Functions and Orthogonal Set of Functions and Strum-Liouville Problem among others. The third part "Partial Differential Equations" deals aptly with topics such as Linear and Non-Linear Partial Differential Equations of Order One, Riemann Method and Monge's Method.



Key Features

• Exhaustive coverage of major Indian universities curriculum

• Up to date examples and questions





Author: Dr. M.D. Raisinghania
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 TABLE OF CONTENTS
PART-I: ELEMENTARY DIFFERENTIAL EQUATIONS
• Differential Equations, their Formation and Solutions
• Equations of First Order and First Degree
• Trajectories
• Equations of the First Order but not of the First Degree Singular Solutions and Extraneous Loci
• Linear Differential Equations with Constant Coefficients
• Homogeneous Linear Equations or Cauchy-Euler Equations
• Method of Variation of Parameters
• Ordinary Simultaneous Differential Equations
• Exact Differential Equations and Equations of Special Forms
• Linear Differential Equations of Second Order
• Applications of Differential Equations
PART-II: ADVANCED ORDINARY DIFFERENTIAL EQUATIONS AND SPECIAL FUNCTIONS
• Picard's Iterative Method. Uniqueness and Existence Theorem
• Simultaneous Differential Equations of the form (dx)/P = (dy)/Q = (dz)/R
• Total (or Pfaffian) Differential Equations
• Beta and Gamma Functions
• Chebyshev Polynomials
• Fourier Series
• Power Series
• Integration in Series
• Legendre Polynomials
• Legendre Functions of the Second Kind
• Bessel Functions
• Hermite Polynomials
• Laguerre Polynomial
• Hypergeometric Function
• Orthogonal Set of Functions and Strum-Liouville Problem
PART-III: PARTIAL DIFFERENTIAL EQUATIONS
• Origin of Partial Differential Equations
• Linear Partial Differential Equations of Order One
• Non-Linear Partial Differential Equations of Order One
• Homogeneous Linear Partial Differential Equations with Constant Coefficients
• Non-Homogeneous Linear Partial Differential Equations with Constant Coefficients
• Partial Differential Equations Reducible to Equations with Constant Coefficients
• Partial Differential Equations of order two with Variables Coefficients
• Classification of Partial Differential Equations Reduction to Cononial or Normal Form. Riemann Method
• Monge's Method
• Transport Equation
• Cauchy Initial Value Problem for Linear First Order Partial Differential Equations
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