Springer Undergraduate Mathematics Series

Analytic Methods for Partial Differential Equations

Authors: Evans, G., Blackledge, J., Yardley, P.

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eBook $34.99
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  • ISBN 978-1-4471-0379-0
  • Digitally watermarked, DRM-free
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  • Immediate eBook download after purchase
Softcover $49.95
price for USA
  • ISBN 978-3-540-76124-2
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About this Textbook

The subject of partial differential equations holds an exciting and special position in mathematics. Partial differential equations were not consciously created as a subject but emerged in the 18th century as ordinary differential equations failed to describe the physical principles being studied. The subject was originally developed by the major names of mathematics, in particular, Leonard Euler and Joseph-Louis Lagrange who studied waves on strings; Daniel Bernoulli and Euler who considered potential theory, with later developments by Adrien-Marie Legendre and Pierre-Simon Laplace; and Joseph Fourier's famous work on series expansions for the heat equation. Many of the greatest advances in modern science have been based on discovering the underlying partial differential equation for the process in question. J ames Clerk Maxwell, for example, put electricity and magnetism into a unified theory by estab­ lishing Maxwell's equations for electromagnetic theory, which gave solutions for problems in radio wave propagation, the diffraction of light and X-ray developments. Schrodinger's equation for quantum mechankal processes at the atomic level leads to experimentally verifiable results which have changed the face of atomic physics and chemistry in the 20th century. In fluid mechanics, the Navier-Stokes' equations form a basis for huge number-crunching activities associated with such widely disparate topics as weather forcasting and the design of supersonic aircraft. Inevitably the study of partial differential equations is a large undertaking, and falls into several areas of mathematics.

Table of contents (5 chapters)

  • Mathematical Preliminaries

    Evans, Gwynne A. (et al.)

    Pages 1-48

  • Separation of the Variables

    Evans, Gwynne A. (et al.)

    Pages 49-94

  • First-order Equations and Hyperbolic Second-order Equations

    Evans, Gwynne A. (et al.)

    Pages 95-122

  • Integral Transforms

    Evans, Gwynne A. (et al.)

    Pages 123-162

  • Green’s Functions

    Evans, Gwynne A. (et al.)

    Pages 163-224

Buy this book

eBook $34.99
price for USA (gross)
  • ISBN 978-1-4471-0379-0
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $49.95
price for USA
  • ISBN 978-3-540-76124-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Analytic Methods for Partial Differential Equations
Authors
Series Title
Springer Undergraduate Mathematics Series
Copyright
1999
Publisher
Springer-Verlag London
Copyright Holder
Springer-Verlag London Limited
eBook ISBN
978-1-4471-0379-0
DOI
10.1007/978-1-4471-0379-0
Softcover ISBN
978-3-540-76124-2
Series ISSN
1615-2085
Edition Number
1
Number of Pages
XII, 316
Topics