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001  9780387791463  
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_a9780387791463 _99780387791463 

024  7 
_a10.1007/9780387791463 _2doi 

040  _aISI Library, Kolkata  
050  4  _aQA370380  
072  7 
_aPBKJ _2bicssc 

072  7 
_aMAT007000 _2bisacsh 

072  7 
_aPBKJ _2thema 

082  0  4 
_a515.353 _223 
100  1 
_aAgarwal, Ravi P. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut 

245  1  0 
_aOrdinary and Partial Differential Equations _h[electronic resource] : _bWith Special Functions, Fourier Series, and Boundary Value Problems / _cby Ravi P. Agarwal, Donal O’Regan. 
264  1 
_aNew York, NY : _bSpringer New York, _c2009. 

300 
_aXIV, 410 p. 35 illus. _bonline resource. 

336 
_atext _btxt _2rdacontent 

337 
_acomputer _bc _2rdamedia 

338 
_aonline resource _bcr _2rdacarrier 

347 
_atext file _bPDF _2rda 

490  1 
_aUniversitext, _x01725939 

505  0  _aSolvable Differential Equations  SecondOrder 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  FirstOrder Partial Differential Equations  Solvable Partial Differential Equations  The Canonical Forms  The Method of Separation of Variables  The OneDimensional Heat Equation  The OneDimensional Heat Equation (Cont’d.)  The OneDimensional Wave Equation  The OneDimensional Wave Equation (Cont’d.)  Laplace Equation in Two Dimensions  Laplace Equation in Polar Coordinates  TwoDimensional Heat Equation  TwoDimensional 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  WellPosed Problems  Verification of Solutions.  
520  _aThis 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 workedout examples and helpful illustrations. Develops ODEs in conjuction with PDEs and is aimed mainly toward applications. Covers importat applicationsoriented 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 graduatelevel 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/coauthor 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/coauthor 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 coauthored/coedited 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, HalfLinear, Superlinear and Sublinear Dynamic Equations.  
650  0  _aDifferential equations, partial.  
650  0  _aDifferential Equations.  
650  0  _aNumerical analysis.  
650  0  _aMathematical physics.  
650  0  _aEngineering mathematics.  
650  1  4 
_aPartial Differential Equations. _0http://scigraph.springernature.com/things/productmarketcodes/M12155 
650  2  4 
_aOrdinary Differential Equations. _0http://scigraph.springernature.com/things/productmarketcodes/M12147 
650  2  4 
_aNumerical Analysis. _0http://scigraph.springernature.com/things/productmarketcodes/M14050 
650  2  4 
_aMathematical Methods in Physics. _0http://scigraph.springernature.com/things/productmarketcodes/P19013 
650  2  4 
_aMathematical and Computational Engineering. _0http://scigraph.springernature.com/things/productmarketcodes/T11006 
700  1 
_aO’Regan, Donal. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut 

710  2  _aSpringerLink (Online service)  
773  0  _tSpringer eBooks  
776  0  8 
_iPrinted edition: _z9780387570785 
776  0  8 
_iPrinted edition: _z9780387791456 
830  0 
_aUniversitext, _x01725939 

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