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An Introduction to Partial Differential Equations with MATLAB

Sofort lieferbar | Lieferzeit: Sofort lieferbar I
ISBN-13:
9781439898475
Veröffentl:
2016
Seiten:
683
Autor:
Matthew P. Coleman
eBook Typ:
PDF
eBook Format:
EPUB
Kopierschutz:
0 - No protection
Sprache:
Englisch
Beschreibung:

Updated throughout, this second edition of a bestseller illustrates the usefulness of PDEs through numerous applications and helps students appreciate the beauty of the underlying mathematics. It shows students how PDEs can model diverse problems, including the flow of heat, the propagation of sound waves, the spread of algae along the ocean's surface, the fluctuation in the price of a stock option, and the quantum mechanical behavior of a hydrogen atom. The text also contains many exercises, including standard ones and graphical problems using MATLAB.
Introduction. The Big Three PDEs. Fourier Series. Solving the Big Three PDEs. Characteristics. Integral Transforms. Bessel Functions and Orthogonal Polynomials. Sturm-Liouville Theory and Generalized Fourier Series. PDEs in Higher Dimensions. Nonhomogeneous Problems and Green's Functions. Numerical Methods. Appendices. References. Index.

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