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Partial Differential Equations Topics In Fourier Analysis 2Nd Edition at Meripustak

Partial Differential Equations Topics In Fourier Analysis 2Nd Edition by M W Wong, T&F/CRC Press

Books from same Author: M W Wong

Books from same Publisher: T&F/CRC Press

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  • General Information  
    Author(s)M W Wong
    PublisherT&F/CRC Press
    Edition2nd Edition
    Publish YearAugust 2022


    T&F/CRC Press Partial Differential Equations Topics In Fourier Analysis 2Nd Edition by M W Wong

    Partial Differential Equations: Topics in Fourier Analysis, Second Edition 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; and the sub-Laplacian on the Heisenberg groupDesigned 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.New to the Second EditionThree brand new chapters covering several topics in analysis not explored in the first editionComplete revision of the text to correct errors, remove redundancies, and update outdated materialExpanded references and bibliographyNew and revised exercises.

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