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Ordinary and Partial Differential Equations

With Special Functions, Fourier Series, and Boundary Value Problems

Paramètres

  • 410pages
  • 15 heures de lecture

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In this undergraduate/graduate textbook, the authors introduce ODEs and PDEs through 50 class-tested lectures. Mathematical concepts are explained with clarity and rigor, using fully worked-out examples and helpful illustrations. Exercises are provided at the end of each chapter for practice. The treatment of ODEs is developed in conjunction with PDEs and is aimed mainly towards applications. The book covers important applications-oriented topics such as solutions of ODEs in form of power series, special functions, Bessel functions, hypergeometric functions, orthogonal functions and polynomials, Legendre, Chebyshev, Hermite, and Laguerre polynomials, theory of Fourier series. Undergraduate and graduate students in mathematics, physics and engineering will benefit from this book. The book assumes familiarity with calculus.

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Ordinary and Partial Differential Equations, Ravi Agarwal, Donal O'Regan

Langue
Année de publication
2008
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Titre
Ordinary and Partial Differential Equations
Sous-titre
With Special Functions, Fourier Series, and Boundary Value Problems
Langue
Anglais
Éditeur
Springer
Publié
2008
Format
souple
Pages
410
ISBN10
0387791450
ISBN13
9780387791456
Séries
Mots clés
Description
In this undergraduate/graduate textbook, the authors introduce ODEs and PDEs through 50 class-tested lectures. Mathematical concepts are explained with clarity and rigor, using fully worked-out examples and helpful illustrations. Exercises are provided at the end of each chapter for practice. The treatment of ODEs is developed in conjunction with PDEs and is aimed mainly towards applications. The book covers important applications-oriented topics such as solutions of ODEs in form of power series, special functions, Bessel functions, hypergeometric functions, orthogonal functions and polynomials, Legendre, Chebyshev, Hermite, and Laguerre polynomials, theory of Fourier series. Undergraduate and graduate students in mathematics, physics and engineering will benefit from this book. The book assumes familiarity with calculus.