1.

Record Nr.

UNINA9910795835203321

Autore

O'Neil Peter V

Titolo

Solutions Manual to Accompany Beginning Partial Differential Equations

Pubbl/distr/stampa

Somerset : , : John Wiley & Sons, Incorporated, , 2014

©2014

ISBN

9781118880586

9781118630099

Edizione

[3rd ed.]

Descrizione fisica

1 online resource (199 pages)

Collana

Pure and Applied Mathematics: a Wiley Series of Texts, Monographs and Tracts Ser.

Disciplina

515.353

Soggetti

Differential equations -- Problems, exercises, etc

Electronic books.

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di contenuto

Cover -- Series -- Title Page -- Copyright -- Preface -- Chapter 1: First Ideas -- 1.1 Two Partial Differential Equations -- 1.2 Fourier Series -- 1.3 Two Eigenvalue Problems -- 1.4 A Proof of the Convergence Theorem -- Chapter 2: Solutions of the Heat Equation -- 2.1 Solutions on an Interval [0,L] -- 2.2 A Nonhomogeneous Problem -- Chapter 3: Solutions of the Wave Equation -- 3.1 Solutions on Bounded Intervals -- 3.2 The Cauchy Problem -- 3.3 The Wave Equation in Higher Dimensions -- Chapter 4: Dirichlet and Neumann Problems -- 4.1 Laplace's Equation and Harmonic Functions -- 4.2 The Dirichlet Problem for a Rectangle -- 4.3 The Dirichlet Problem for a Disk -- 4.4 Properties of Harmonic Functions -- 4.5 The Neumann Problem -- 4.6 Poisson's Equation -- 4.7 An Existence Theorem for the Dirichlet Problem -- Chapter 5: Fourier Integral Methods of Solution -- 5.1 The Fourier Integral of a Function -- 5.2 The Heat Equation on the Real Line -- 5.3 The Debate Over the Age of the Earth -- 5.4 Burgers' Equation -- 5.5 The Cauchy Problem for the Wave Equation -- 5.6 Laplace's Equation on Unbounded Domains -- Chapter 6: Solutions Using Eigenfunction Expansions -- 6.1 A Theory of Eigenfunction Expansions -- 6.2 Bessel Functions -- 6.3 Applications of Bessel Functions -- 6.4 Legendre Polynomials and Applications -- Chapter 7: Integral Transform Methods of Solution -- 7.1 The Fourier Transform



-- 7.2 Heat and Wave Equations -- 7.3 The Telegraph Equation -- 7.4 The Laplace Transform -- Chapter 8: First-Order Equations -- 8.1 Linear First-Order Equations -- 8.2 The Significance of Characteristics -- 8.3 The Quasi-Linear Equation -- Series List -- End User License Agreement.

Sommario/riassunto

Solutions Manual to Accompany Beginning Partial Differential Equations, 3rd Edition  Featuring a challenging, yet accessible, introduction to partial differential equations, Beginning Partial Differential Equations provides a solid introduction to partial differential equations, particularly methods of solution based on characteristics, separation of variables, as well as Fourier series, integrals, and transforms. Thoroughly updated with novel applications, such as Poe's pendulum and Kepler's problem in astronomy, this third edition is updated to include the latest version of Maples, which is integrated throughout the text. New topical coverage includes novel applications, such as Poe's pendulum and Kepler's problem in astronomy.