# Ordinary and Partial Differential Equations (Record no. 426140)

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000 -LEADER | |
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fixed length control field | 06693nam a22005655i 4500 |

020 ## - INTERNATIONAL STANDARD BOOKNUMBER | |

International Standard Book Number | 9780387791463 |

-- | 978-0-387-79146-3 |

024 7# - | |

-- | 10.1007/978-0-387-79146-3 |

-- | doi |

040 ## - | |

-- | ISI Library, Kolkata |

050 #4 - | |

-- | QA370-380 |

072 #7 - | |

-- | PBKJ |

-- | bicssc |

072 #7 - | |

-- | MAT007000 |

-- | bisacsh |

072 #7 - | |

-- | PBKJ |

-- | thema |

082 04 - DEWEYDECIMAL CLASSIFICATION NUMBER | |

Classification number | 515.353 |

Edition number | 23 |

100 1# - MAIN ENTRY--PERSONAL NAME | |

Personal name | Agarwal, Ravi P. |

Relator code | aut |

-- | http://id.loc.gov/vocabulary/relators/aut |

245 10 - TITLE STATEMENT | |

Title | Ordinary and Partial Differential Equations |

Medium | [electronic resource] : |

Remainder of title | With Special Functions, Fourier Series, and Boundary Value Problems / |

Statement of responsibility, etc | by Ravi P. Agarwal, Donal O’Regan. |

942 ## - ADDED ENTRY ELEMENTS(KOHA) | |

Koha item type | E-BOOKS |

100 1# - MAIN ENTRY--PERSONAL NAME | |

-- | author. |

264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE STATEMENTS | |

Place of production, publication, distribution, manufacture | New York, NY : |

Name of producer, publisher, distributor, manufacturer | Springer New York, |

Date of production, publication, distribution, manufacture | 2009. |

300 ## - | |

-- | XIV, 410 p. 35 illus. |

-- | online resource. |

336 ## - CONTENT TYPE | |

Content Type Term | text |

Content Type Code | txt |

Source | rdacontent |

337 ## - MEDIA TYPE | |

Media Type Term | computer |

Media Type Code | c |

Source | rdamedia |

338 ## - CARRIER TYPE | |

Carrier Type Term | online resource |

Carrier Type Code | cr |

Source | rdacarrier |

347 ## - | |

-- | text file |

-- | |

-- | rda |

490 1# - | |

-- | Universitext, |

-- | 0172-5939 |

505 0# - | |

-- | Solvable Differential Equations -- Second-Order Differential Equations -- Preliminaries to Series Solutions -- Solution at an Ordinary Point -- Solution at a Singular Point -- Solution at a Singular Point (Cont’d.) -- Legendre Polynomials and Functions -- Chebyshev, Hermite and Laguerre Polynomials -- Bessel Functions -- Hypergeometric Functions -- Piecewise Continuous and Periodic Functions -- Orthogonal Functions and Polynomials -- Orthogonal Functions and Polynomials (Cont’d.) -- Boundary Value Problems -- Boundary Value Problems (Cont’d.) -- Green’s Functions -- Regular Perturbations -- Singular Perturbations -- Sturm–Liouville Problems -- Eigenfunction Expansions -- Eigenfunction Expansions (Cont’d.) -- Convergence of the Fourier Series -- Convergence of the Fourier Series (Cont’d.) -- Fourier Series Solutions of Ordinary Differential Equations -- Partial Differential Equations -- First-Order Partial Differential Equations -- Solvable Partial Differential Equations -- The Canonical Forms -- The Method of Separation of Variables -- The One-Dimensional Heat Equation -- The One-Dimensional Heat Equation (Cont’d.) -- The One-Dimensional Wave Equation -- The One-Dimensional Wave Equation (Cont’d.) -- Laplace Equation in Two Dimensions -- Laplace Equation in Polar Coordinates -- Two-Dimensional Heat Equation -- Two-Dimensional Wave Equation -- Laplace Equation in Three Dimensions -- Laplace Equation in Three Dimensions (Cont’d.) -- Nonhomogeneous Equations -- Fourier Integral and Transforms -- Fourier Integral and Transforms (Cont’d.) -- Fourier Transform Method for Partial DEs -- Fourier Transform Method for Partial DEs (Cont’d.) -- Laplace Transforms -- Laplace Transforms (Cont’d.) -- Laplace Transform Method for Ordinary DEs -- Laplace Transform Method for Partial DEs -- Well-Posed Problems -- Verification of Solutions. |

520 ## - | |

-- | This textbook provides a genuine treatment of ordinary and partial differential equations (ODEs and PDEs) through 50 class tested lectures. Key Features: Explains mathematical concepts with clarity and rigor, using fully worked-out examples and helpful illustrations. Develops ODEs in conjuction with PDEs and is aimed mainly toward applications. Covers importat applications-oriented topics such as solutions of ODEs in the form of power series, special functions, Bessel functions, hypergeometric functions, orthogonal functions and polynomicals, Legendre, Chebyshev, Hermite, and Laguerre polynomials, and the theory of Fourier series. Provides exercises at the end of each chapter for practice. This book is ideal for an undergratuate or first year graduate-level course, depending on the university. Prerequisites include a course in calculus. About the Authors: Ravi P. Agarwal received his Ph.D. in mathematics from the Indian Institute of Technology, Madras, India. He is a professor of mathematics at the Florida Institute of Technology. His research interests include numerical analysis, inequalities, fixed point theorems, and differential and difference equations. He is the author/co-author of over 800 journal articles and more than 20 books, and actively contributes to over 40 journals and book series in various capacities. Donal O’Regan received his Ph.D. in mathematics from Oregon State University, Oregon, U.S.A. He is a professor of mathematics at the National University of Ireland, Galway. He is the author/co-author of 15 books and has published over 650 papers on fixed point theory, operator, integral, differential and difference equations. He serves on the editorial board of many mathematical journals. Previously, the authors have co-authored/co-edited the following books with Springer: Infinite Interval Problems for Differential, Difference and Integral Equations; Singular Differential and Integral Equations with Applications; Nonlinear Analysis and Applications: To V. Lakshmikanthan on his 80th Birthday; An Introduction to Ordinary Differential Equations. In addition, they have collaborated with others on the following titles: Positive Solutions of Differential, Difference and Integral Equations; Oscillation Theory for Difference and Functional Differential Equations; Oscillation Theory for Second Order Linear, Half-Linear, Superlinear and Sublinear Dynamic Equations. |

650 #0 - | |

-- | Differential equations, partial. |

650 #0 - | |

-- | Differential Equations. |

650 #0 - | |

-- | Numerical analysis. |

650 #0 - | |

-- | Mathematical physics. |

650 #0 - | |

-- | Engineering mathematics. |

650 14 - | |

-- | Partial Differential Equations. |

-- | http://scigraph.springernature.com/things/product-market-codes/M12155 |

650 24 - | |

-- | Ordinary Differential Equations. |

-- | http://scigraph.springernature.com/things/product-market-codes/M12147 |

650 24 - | |

-- | Numerical Analysis. |

-- | http://scigraph.springernature.com/things/product-market-codes/M14050 |

650 24 - | |

-- | Mathematical Methods in Physics. |

-- | http://scigraph.springernature.com/things/product-market-codes/P19013 |

650 24 - | |

-- | Mathematical and Computational Engineering. |

-- | http://scigraph.springernature.com/things/product-market-codes/T11006 |

700 1# - | |

-- | O’Regan, Donal. |

-- | author. |

-- | aut |

-- | http://id.loc.gov/vocabulary/relators/aut |

710 2# - | |

-- | SpringerLink (Online service) |

773 0# - | |

-- | Springer eBooks |

776 08 - | |

-- | Printed edition: |

-- | 9780387570785 |

776 08 - | |

-- | Printed edition: |

-- | 9780387791456 |

830 #0 - | |

-- | Universitext, |

-- | 0172-5939 |

856 40 - | |

-- | https://doi.org/10.1007/978-0-387-79146-3 |

912 ## - | |

-- | ZDB-2-SMA |

950 ## - | |

-- | Mathematics and Statistics (Springer-11649) |

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