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Partial Differential Equations

Engels | Druk: 1 | Hardcover | 9781466584013 | 184 pagina's

M.W. Wong, M. W. Wong - 9781466584013


Engels | Druk: 1 | Hardcover | 9781466584013 | 184 pagina's

Partial Differential Equations: Topics in Fourier Analysis explains how to use the Fourier transform and heuristic methods to obtain significant insight into the solutions of standard PDE models. It shows how this powerful approach is valuable in getting plausible answers that can then be justified by modern analysis. Using Fourier analysis, the text constructs explicit formulas for solving PDEs governed by canonical operators related to the Laplacian on the Euclidean space. After presenting background material, it focuses on: Second-order equations governed by the Laplacian on Rn The Hermite operator and corresponding equation The sub-Laplacian on the Heisenberg group Designed for a one-semester course, this text provides a bridge between the standard PDE course for undergraduate students in science and engineering and the PDE course for graduate students in mathematics who are pursuing a research career in analysis. Through its coverage of fundamental examples of PDEs, the book prepares students for studying more advanced topics such as pseudo-differential operators. It also helps them appreciate PDEs as beautiful structures in analysis, rather than a bunch of isolated ad-hoc techniques.




Partial Differential Equations Engels | Druk: 1 | Hardcover | 9781466584013 | 184 pagina's
Verschijningsdatumjuni 2013
AfmetingenAfmeting: 24,1 x 16,5 x 1,9 cm
Aantal pagina's184 pagina's
Auteur(s)M.W. Wong | M. W. Wong
UitgeverTaylor & Francis Inc
Extra groot lettertypeNee
Gewicht454 g
Verpakking breedte156 mm
Verpakking hoogte234 mm
Verpakking lengte234 mm

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