Ordinary And Partial Differential Equations | Author By Dr. M.D. Raisinghania | 20th Edition | S Chand Publication ( English Medium )

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Ordinary And Partial Differential Equations | Author By Dr. M.D. Raisinghania | 20th Edition | S Chand Publication ( English Medium ).

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.

Contents :

PART I: ELEMENTARY DIFFERENTIAL EQUATIONS

1. Differential Equations: Their Formation and Solutions

2. Equations of First Order and First Degree

3. Trajectories

4. Equations of the First Order but Not of the First Degree and Singular Solutions and Extraneous Loci

5. Linear Differential Equations with Constant Coefficients

6. Homogeneous Linear Equations or Cauchy-Euler Equations

7. Method of Variation of Parameters

8. Ordinary Simultaneous Differential Equations

9. Exact Differential Equations and Equations of Special Forms

10. Linear Equations of Second Order

11. Applications of Differential Equations

12. 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

1. Picard's Iterative Method, Picard's Theorem and Existence and Uniqueness of Solutions to First Order Initial Value Problems

2. Simultaneous Equations of the Form (dx)/P =(dy)/Q =(dz)/R

3. Total (or Pfaffian) Differential Equations

4. Beta and Gamma Functions

5. Chebyshev Polynomials

6. Fourier Series

7. Power Series

8. Integration in Series

9. Legendre Polynomials

10. Legendre Functions of the Second Kind—Qn(x)

11. Bessel Functions

12. Orthogonal Sets of Functions and Strum Liouville Problem

PART III: PARTIAL DIFFERENTIAL EQUATIONS

1. Origin of Partial Differential Equations

2. Linear Partial Differential Equations of Order One

3. Non-linear Partial Differential Equations of Order One

4. Homogeneous Linear Partial Differential Equations with Constant Coefficients

5. Non-homogeneous Linear Partial Differential Equations with Constant Coefficients

6. Partial Differential Equations Reducible to Equations with Constant Coefficients

7. Partial Differential Equations of Order Two with Variable Coefficients

8. Classification of P.D.E. Reduction to Canonical or Normal Forms Riemann Method

9. Monge's Methods

10. Transport Equation

11. Cauchy Initial Value Problem for Linear First Order Partial Differential Equations

Miscellaneous problems based on Part III of the book

Key Features :

A new chapter on "Miscellaneous Methods and Existence and Uniqueness Theorem for Solutions of First Order Initial Value Problems

Clear exposition of Picard's theorem and Picard's iterative method of successive approximations

Detailed discussion on Lipschitz condition, Lipschitz constant, Lipschitz continuous function, Gronwall inequality and existence and uniqueness of solutions to first order initial value problems

For practice a number of exercises including questions asked in different university examinations, GATE, CSIR-UGC (NET) and other competitive examinations .

Search Key : Publication : S Chand Publication, ISBN : 9789352836109, Pages : 912, Binding : Paperback, Language : English, Ordinary and Partial Differential Equations Dr. M.D. Raisinghania, Differential Equations S Chand book, M.D. Raisinghania 20th Edition, Ordinary Differential Equations S Chand, Partial Differential Equations book by Raisinghania, Differential Equations S Chand publication, M.D. Raisinghania English medium book, 20th edition Ordinary Differential Equations, Best books for differential equations, S Chand Ordinary Differential Equations, Raisinghania differential equations review, Buy Ordinary and Partial Differential Equations online, M.D. Raisinghania differential equations syllabus, S Chand math books for college, Ordinary and Partial Differential Equations textbook, Differential Equations for engineering students, M.D. Raisinghania advanced math books, Partial Differential Equations solved examples, Ordinary Differential Equations competitive exams, M.D. Raisinghania book price and availability.

Product Details

SKU, Publisher	S Chan-Raisi-Ordi-Par-Diff-(E)
Publisher	S Chand Publication
Author, Edition	By Dr. M.D. Raisinghania, 20th Edition, English Medium
Binding, Type	Paperback, New
No. of Pages	912

Product Description

Ordinary And Partial Differential Equations | Author By Dr. M.D. Raisinghania | 20th Edition | S Chand Publication ( English Medium ).

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.

Contents :

PART I: ELEMENTARY DIFFERENTIAL EQUATIONS

1. Differential Equations: Their Formation and Solutions

2. Equations of First Order and First Degree

3. Trajectories

4. Equations of the First Order but Not of the First Degree and Singular Solutions and Extraneous Loci

5. Linear Differential Equations with Constant Coefficients

6. Homogeneous Linear Equations or Cauchy-Euler Equations

7. Method of Variation of Parameters

8. Ordinary Simultaneous Differential Equations

9. Exact Differential Equations and Equations of Special Forms

10. Linear Equations of Second Order

11. Applications of Differential Equations

12. 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

1. Picard's Iterative Method, Picard's Theorem and Existence and Uniqueness of Solutions to First Order Initial Value Problems

2. Simultaneous Equations of the Form (dx)/P =(dy)/Q =(dz)/R

3. Total (or Pfaffian) Differential Equations

4. Beta and Gamma Functions

5. Chebyshev Polynomials

6. Fourier Series

7. Power Series

8. Integration in Series

9. Legendre Polynomials

10. Legendre Functions of the Second Kind—Qn(x)

11. Bessel Functions

12. Orthogonal Sets of Functions and Strum Liouville Problem

PART III: PARTIAL DIFFERENTIAL EQUATIONS

1. Origin of Partial Differential Equations

2. Linear Partial Differential Equations of Order One

3. Non-linear Partial Differential Equations of Order One

4. Homogeneous Linear Partial Differential Equations with Constant Coefficients

5. Non-homogeneous Linear Partial Differential Equations with Constant Coefficients

6. Partial Differential Equations Reducible to Equations with Constant Coefficients

7. Partial Differential Equations of Order Two with Variable Coefficients

8. Classification of P.D.E. Reduction to Canonical or Normal Forms Riemann Method

9. Monge's Methods

10. Transport Equation

11. Cauchy Initial Value Problem for Linear First Order Partial Differential Equations

Miscellaneous problems based on Part III of the book

Key Features :

A new chapter on "Miscellaneous Methods and Existence and Uniqueness Theorem for Solutions of First Order Initial Value Problems

Clear exposition of Picard's theorem and Picard's iterative method of successive approximations

Detailed discussion on Lipschitz condition, Lipschitz constant, Lipschitz continuous function, Gronwall inequality and existence and uniqueness of solutions to first order initial value problems

For practice a number of exercises including questions asked in different university examinations, GATE, CSIR-UGC (NET) and other competitive examinations .

Search Key : Publication : S Chand Publication, ISBN : 9789352836109, Pages : 912, Binding : Paperback, Language : English, Ordinary and Partial Differential Equations Dr. M.D. Raisinghania, Differential Equations S Chand book, M.D. Raisinghania 20th Edition, Ordinary Differential Equations S Chand, Partial Differential Equations book by Raisinghania, Differential Equations S Chand publication, M.D. Raisinghania English medium book, 20th edition Ordinary Differential Equations, Best books for differential equations, S Chand Ordinary Differential Equations, Raisinghania differential equations review, Buy Ordinary and Partial Differential Equations online, M.D. Raisinghania differential equations syllabus, S Chand math books for college, Ordinary and Partial Differential Equations textbook, Differential Equations for engineering students, M.D. Raisinghania advanced math books, Partial Differential Equations solved examples, Ordinary Differential Equations competitive exams, M.D. Raisinghania book price and availability.

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