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Ordinary and partial differential equations with special functions, fourier series, and boundary value problems

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Nội dung chi tiết: Ordinary and partial differential equations with special functions, fourier series, and boundary value problems

Ordinary and partial differential equations with special functions, fourier series, and boundary value problems

Ravi p. Agarwal Donal O’ReganUniversitexOrdinary and Partial Differential EquationsWith Special Functions, Fourier Series, and Boundary Value Problems

Ordinary and partial differential equations with special functions, fourier series, and boundary value problems s0 SpringerFor other books in this series: http://www.springer.com/serjes/223UniversitextRavi p. Agarwal Donal 0'ReganOrdinary and Partial Differentia

l EquationsWith Special Functions, Fourier Series, and Boundary Value Problems0 SpringerRavi p. AgarwalRorida Institute of Technology Department of Ma Ordinary and partial differential equations with special functions, fourier series, and boundary value problems

thematical Sciences 150 West University Blvd.Melbourne. FL 32901 agarwal@tit.eduDonal O'ReganNational University of Ireland. GalwayMathematics Departm

Ordinary and partial differential equations with special functions, fourier series, and boundary value problems

entUniversity RoadGalway. Irelanddonal.oregan@nuigalway.ieISBN: 978-0-387-79145-6 e-ISBN: 978-0-387-79146-3DOI 10.1007/978-0-387-79146-3Library of Con

Ravi p. Agarwal Donal O’ReganUniversitexOrdinary and Partial Differential EquationsWith Special Functions, Fourier Series, and Boundary Value Problems

Ordinary and partial differential equations with special functions, fourier series, and boundary value problems erved. This work may not be translated or copied in whole or in part without the written permission of the publisher (Springer Scicncc+Busincss Media.

LLC. 233 Spring Street. New York, NY 10013. USA), except for brief excerpts in connection with reviews or scholarly analysis. Use in connection with Ordinary and partial differential equations with special functions, fourier series, and boundary value problems

any form of information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafte

Ordinary and partial differential equations with special functions, fourier series, and boundary value problems

r developed is forbidden.The use in this publication of trade names, trademarks, service marks, and similar terms, even if they arc not identified as

Ravi p. Agarwal Donal O’ReganUniversitexOrdinary and Partial Differential EquationsWith Special Functions, Fourier Series, and Boundary Value Problems

Ordinary and partial differential equations with special functions, fourier series, and boundary value problems mDedicated to our SonsHans Agarwal and Daniel Joseph O’ReganPrefaceThis book comprises 50 class-tested lectures which both the authors have given to e

ngineering and mathematics major students under the titles Boundary Value Problems and Mel hods of Mathematical Physics at various institutions all ov Ordinary and partial differential equations with special functions, fourier series, and boundary value problems

er the globe over a period of almost 35 years. The main topics covered in these lectures are power series solutions, special functions. boundary value

Ordinary and partial differential equations with special functions, fourier series, and boundary value problems

problems for ordinary differential equations. Sturm Lionville problems, regular and singular perturbation techniques, Fourier series expansion, parti

Ravi p. Agarwal Donal O’ReganUniversitexOrdinary and Partial Differential EquationsWith Special Functions, Fourier Series, and Boundary Value Problems

Ordinary and partial differential equations with special functions, fourier series, and boundary value problems for this book is calculus, so it can be used for a senior undergraduate course. ĩr should also be suitable for a beginning graduate course because, i

n undergraduate courses, students do not have any exposure to various intricate concepts, perhaps due to an inadequate level of mathematical sophistic Ordinary and partial differential equations with special functions, fourier series, and boundary value problems

ation. The content in a particular lecture, together with the problems therein, provides fairly adequate coverage of the topic under study. These lect

Ordinary and partial differential equations with special functions, fourier series, and boundary value problems

ures have been delivered in one year courses and provide flexibility in the choice of material for a particular one-semester course. Throughout this b

Ravi p. Agarwal Donal O’ReganUniversitexOrdinary and Partial Differential EquationsWith Special Functions, Fourier Series, and Boundary Value Problems

Ordinary and partial differential equations with special functions, fourier series, and boundary value problems mples. Like any other mathematical book, it does contain some theorems and their proofs.

Ravi p. Agarwal Donal O’ReganUniversitexOrdinary and Partial Differential EquationsWith Special Functions, Fourier Series, and Boundary Value Problems

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