Ordinary and Partial Differential Equation | Dr MD Rai Singhania- S.CHAND
MCB-1427
ISBN | : | 9789352836109 |
Pages | : | 912 |
Binding | : | Paperback |
Language | : | English |
Publisher | : | S. Chand |
Size | : | 6.75 X 9.5 |
Weight | : | 1 kg |
Year | : | 2020 |
About the Book-
This well-acclaimed book, now in its twentieth edition, continues to offer an in-depth presentation of the fundamental concepts and their applications of ordinary and partial differential equations providing systematic solution techniques. The book provides step-by-step proofs of theorems to enhance students' problem-solving skill and includes plenty of carefully chosen solved examples to illustrate the concepts discussed. Designed as a textbook for undergraduate and postgraduate students of Mathematics and Physics as well as undergraduate students of all branches of Engineering and AMIE, this book would also be useful for the aspirants of GATE, CSIR-UGC (NET) and other competitive examinations.
Table of Content-
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 and 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 Equations of Second Order
- Applications of Differential Equations
- Miscellaneous Methods and Existence and Uniqueness Theorem for Solutions of First Order Initial Value Problems
PART II: ADVANCED ORDINARY DIFFERENTIAL EQUATIONS, FOURIER SERIES AND SPECIAL FUNCTIONS
- Picard's Iterative Method, Picard's Theorem and Existence and Uniqueness of Solutions to First Order Initial Value Problems
- Simultaneous 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—Qn(x)
- Bessel Functions
- Orthogonal Sets 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 Variable Coefficients
- Classification of P.D.E. Reduction to Canonical or Normal Forms Riemann Method
- Monge's Methods
- Transport Equation
- Cauchy Initial Value Problem for Linear First Order Partial Differential Equations
- Miscellaneous problems based on Part III of the book
Now you can buy this book online at www.mycoursebook.in
About Publisher-
S. Chand Group is one of India’s leading publishing companies. They are in the market for more than seventy years. They develop and publish quality books for students from primary level classes to higher academic levels, including engineering, commerce, management, basic sciences and other courses. It is the first Indian publishing company to be ISO 9001:2008 certified. S. Chand Group is one of the few publishing houses in India with an in-house integrated publishing solution and with a massive distribution network of twenty four locations throughout the country. Their books conform to various syllabus patterns of different education boards and universities.