Analytic Methods for Partial Differential Equations (Springer Undergraduate Mathematics Series) von Evans, G.: New (1999)

Beschreibung

Bestandsnummer des Verk�ufers I-9783540761242

Bibliografische Details

Titel: Analytic Methods for Partial Differential Equations (Springer Undergraduate Mathematics Series)
Verlag: Springer
Erscheinungsjahr: 1999
Sprache: Englisch
ISBN-10: 3540761241
ISBN-13: 9783540761242
Einband: Softcover
Zustand: New

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Inhaltsangabe

This is the practical introduction to the analytical approach taken in Volume 2. Based upon courses in partial differential equations over the last two decades, the text covers the classic canonical equations, with the method of separation of variables introduced at an early stage. The characteristic method for first order equations acts as an introduction to the classification of second order quasi-linear problems by characteristics. Attention then moves to different co-ordinate systems, primarily those with cylindrical or spherical symmetry. Hence a discussion of special functions arises quite naturally, and in each case the major properties are derived. The next section deals with the use of integral transforms and extensive methods for inverting them, and concludes with links to the use of Fourier series.

Rese�a del editor

This is the practical introduction to the analytical approach taken in Volume 2. Based upon courses in partial differential equations over the last two decades, the text covers the classic canonical equations, with the method of separation of variables introduced at an early stage. The characteristic method for first order equations acts as an introduction to the classification of second order quasi-linear problems by characteristics. Attention then moves to different co-ordinate systems, primarily those with cylindrical or spherical symmetry. Hence a discussion of special functions arises quite naturally, and in each case the major properties are derived. The next section deals with the use of integral transforms and extensive methods for inverting them, and concludes with links to the use of Fourier series.

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