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  • Textbook
  • © 1999

Analytic Methods for Partial Differential Equations

Authors:

  1. Gwynne A. Evans

    1. Faculty of Computing Sciences & Engineering, De Montfort University, Leicester, UK

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    You can also search for this author in PubMed   Google Scholar

  2. Jonathan M. Blackledge

    1. Faculty of Computing Sciences & Engineering, De Montfort University, Leicester, UK

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    You can also search for this author in PubMed   Google Scholar

  3. Peter D. Yardley

    1. Faculty of Computing Sciences & Engineering, De Montfort University, Leicester, UK

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    You can also search for this author in PubMed   Google Scholar

  • THIS BOOK IS THE COMPANION VOLUME TO ANALYTIC METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS.
  • TOPICS ARE APPROACHED PRACTICALLY WITH THE EMPHASIS ON ACTUALLY SOLVING PROBLEMS CONTAINS NUMEROUS EXERCISES WITH WORKED SOLUTIONS.
  • Includes supplementary material: sn.pub/extras

Part of the book series: Springer Undergraduate Mathematics Series (SUMS)

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Table of contents (5 chapters)

  1. Front Matter

    Pages i-xii
    PDF

  2. Mathematical Preliminaries

    • Gwynne A. Evans, Jonathan M. Blackledge, Peter D. Yardley
    Pages 1-48

  3. Separation of the Variables

    • Gwynne A. Evans, Jonathan M. Blackledge, Peter D. Yardley
    Pages 49-94

  4. First-order Equations and Hyperbolic Second-order Equations

    • Gwynne A. Evans, Jonathan M. Blackledge, Peter D. Yardley
    Pages 95-122

  5. Integral Transforms

    • Gwynne A. Evans, Jonathan M. Blackledge, Peter D. Yardley
    Pages 123-162

  6. Green’s Functions

    • Gwynne A. Evans, Jonathan M. Blackledge, Peter D. Yardley
    Pages 163-224

  7. Back Matter

    Pages 225-299
    PDF
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About this book

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.
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Keywords

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Authors and Affiliations

  • Faculty of Computing Sciences & Engineering, De Montfort University, Leicester, UK

    Gwynne A. Evans, Jonathan M. Blackledge, Peter D. Yardley

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Bibliographic Information

  • Book Title: Analytic Methods for Partial Differential Equations

  • Authors: Gwynne A. Evans, Jonathan M. Blackledge, Peter D. Yardley

  • Series Title: Springer Undergraduate Mathematics Series

  • DOI: https://doi.org/10.1007/978-1-4471-0379-0

  • Publisher: Springer London

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag London Limited 1999

  • Softcover ISBN: 978-3-540-76124-2Published: 01 November 1999

  • eBook ISBN: 978-1-4471-0379-0Published: 06 December 2012

  • Series ISSN: 1615-2085

  • Series E-ISSN: 2197-4144

  • Edition Number: 1

  • Number of Pages: XII, 316

  • Topics: Analysis, Numerical Analysis

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Buy it now

eBook USD 29.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 37.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

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