| 000 -LEADER |
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| fixed length control field |
04131nam a22002417a 4500 |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20220111093628.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
220110b ||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9789352836109 |
| 040 ## - CATALOGING SOURCE |
|---|
| Transcribing agency |
AL |
| 041 ## - LANGUAGE CODE |
|---|
| Language code of text/sound track or separate title |
Eng |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Edition number |
23 |
| Classification number |
515.35 |
| Item number |
RAIO |
| 100 ## - MAIN ENTRY--PERSONAL NAME |
|---|
| Personal name |
Raisinghania M D |
| 100 ## - MAIN ENTRY--PERSONAL NAME |
|---|
| 9 (RLIN) |
12858 |
| 245 ## - TITLE STATEMENT |
|---|
| Title |
Ordinary and Partial Differential Equations |
| 250 ## - EDITION STATEMENT |
|---|
| Edition statement |
Ed 20. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. |
|---|
| Place of publication, distribution, etc. |
New Delhi |
| Name of publisher, distributor, etc. |
S Chand And Company Limited |
| Date of publication, distribution, etc. |
2021 |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
xxx,318 p. |
| Other physical details |
PB |
| Dimensions |
24x16.5 cm. |
| 365 ## - TRADE PRICE |
|---|
| Price type code |
4971 |
| Price amount |
₹559.20 |
| Currency code |
₹ |
| Unit of pricing |
₹699.00 |
| Price note |
20% |
| Price effective from |
06-01-2022 |
| 520 ## - SUMMARY, ETC. |
|---|
| Summary, etc. |
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.<br/>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. |
| 520 ## - SUMMARY, ETC. |
|---|
| Summary, etc. |
Key Features<br/>A new chapter on "Miscellaneous Methods and Existence and Uniqueness Theorem for Solutions of First Order Initial Value Problems<br/>Clear exposition of Picard's theorem and Picard's iterative method of successive approximations<br/>Detailed discussion on Lipschitz condition, Lipschitz constant, Lipschitz continuous function, Gronwall inequality and existence and uniqueness of solutions to first order initial value problems<br/>For practice a number of exercises including questions asked in different university examinations, GATE, CSIR-UGC (NET) and other competitive examinations <br/>Contents<br/>PART I: ELEMENTARY DIFFERENTIAL EQUATIONS<br/><br/>1. Differential Equations: Their Formation and Solutions<br/>2. Equations of First Order and First Degree<br/>3. Trajectories<br/>4. Equations of the First Order but Not of the First Degree and Singular Solutions and Extraneous Loci<br/>5. Linear Differential Equations with Constant Coefficients<br/>6. Homogeneous Linear Equations or Cauchy-Euler Equations<br/>7. Method of Variation of Parameters<br/>8. Ordinary Simultaneous Differential Equations<br/>9. Exact Differential Equations and Equations of Special Forms<br/>10. Linear Equations of Second Order<br/>11. Applications of Differential Equations<br/>12. Miscellaneous Methods and Existence and Uniqueness Theorem for Solutions of First Order Initial Value Problems<br/>PART II: ADVANCED ORDINARY DIFFERENTIAL EQUATIONS, FOURIER SERIES AND SPECIAL FUNCTIONS<br/><br/>1. Picard's Iterative Method, Picard's Theorem and Existence and Uniqueness of Solutions to First Order Initial Value Problems<br/>2. Simultaneous Equations of the Form (dx)/P =(dy)/Q =(dz)/R<br/>3. Total (or Pfaffian) Differential Equations<br/>4. Beta and Gamma Functions<br/>5. Chebyshev Polynomials<br/>6. Fourier Series<br/>7. Power Series<br/>8. Integration in Series<br/>9. Legendre Polynomials<br/>10. Legendre Functions of the Second Kind—Qn(x)<br/>11. Bessel Functions<br/>12. Orthogonal Sets of Functions and Strum Liouville Problem<br/><br/>PART III: PARTIAL DIFFERENTIAL EQUATIONS<br/>1. Origin of Partial Differential Equations<br/>2. Linear Partial Differential Equations of Order One<br/>3. Non-linear Partial Differential Equations of Order One<br/>4. Homogeneous Linear Partial Differential Equations with Constant Coefficients<br/>5. Non-homogeneous Linear Partial Differential Equations with Constant Coefficients<br/>6. Partial Differential Equations Reducible to Equations with Constant Coefficients<br/>7. Partial Differential Equations of Order Two with Variable Coefficients<br/>8. Classification of P.D.E. Reduction to Canonical or Normal Forms Riemann Method<br/>9. Monge's Methods<br/>10. Transport Equation<br/>11. Cauchy Initial Value Problem for Linear First Order Partial Differential Equations<br/>Miscellaneous problems based on Part III of the book<br/> |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Differential equations |
| 9 (RLIN) |
12802 |
| 700 ## - ADDED ENTRY--PERSONAL NAME |
|---|
| Personal name |
RAISINGHANIA (M D) |
| 9 (RLIN) |
12803 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
|---|
| Source of classification or shelving scheme |
|
| Koha item type |
Book |
