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Partial Differential Equations I: Basic Theory (Applied Mathematical Sciences Book 115) 2nd Edition, Kindle Edition

by Michael E. Taylor (Author) Format: Kindle Edition
5.0 out of 5 stars 8 ratings
The first of three volumes on partial differential equations, this one introduces basic examples arising in continuum mechanics, electromagnetism, complex analysis and other areas, and develops a number of tools for their solution, in particular Fourier analysis, distribution theory, and Sobolev spaces. These tools are then applied to the treatment of basic problems in linear PDE, including the Laplace equation, heat equation, and wave equation, as well as more general elliptic, parabolic, and hyperbolic equations.The book is targeted at graduate students in mathematics and at professional mathematicians with an interest in partial differential equations, mathematical physics, differential geometry, harmonic analysis, and complex analysis.
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  1. ISBN-13
    978-1441970558
  2. Edition
    2nd
  3. Publisher
    Springer
  4. Publication date
    29 October 2010
  5. Part of series
    Applied Mathematical Sciences
  6. Language
    English
  7. File size
    29.6 MB
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Review

From the reviews:

"These volumes will be read by several generations of readers eager to learn the modern theory of partial differential equations of mathematical physics and the analysis in which this theory is rooted." (SIAM Review, June 1998)

From the reviews of the second edition:

"This substantial three-volume work is an upgraded version of the comprehensive qualitative analysis of partial differential equations presented in the earlier edition. ... Graduate students ... will find these three volumes to be not just a fine and rigorous treatment of the subject, but also a source of inspiration to apply their knowledge and ability to the solution of other challenging problems in the field of partial differential equations. ... an excellent text for all devotees of the charming and thought-provoking byways of higher mathematics." (Christian Constanda, The Mathematical Association of America, June, 2011)

From the Back Cover

The first of three volumes on partial differential equations, this one introduces basic examples arising in continuum mechanics, electromagnetism, complex analysis and other areas, and develops a number of tools for their solution, in particular Fourier analysis, distribution theory, and Sobolev spaces. These tools are then applied to the treatment of basic problems in linear PDE, including the Laplace equation, heat equation, and wave equation, as well as more general elliptic, parabolic, and hyperbolic equations. The book is targeted at graduate students in mathematics and at professional mathematicians with an interest in partial differential equations, mathematical physics, differential geometry, harmonic analysis, and complex analysis.In this second edition, there are seven new sections including Sobolev spaces on rough domains, boundary layer phenomena for the heat equation, the space of pseudodifferential operators of harmonic oscillator type, and an index formula for elliptic systems of such operators. In addition, several other sections have been substantially rewritten, and numerous others polished to reflect insights obtained through the use of these books over time. Michael E. Taylor is a Professor of Mathematics at the University of North Carolina, Chapel Hill, NC. Review of first edition: "These volumes will be read by several generations of readers eager to learn the modern theory of partial differential equations of mathematical physics and the analysis in which this theory is rooted."(SIAM Review, June 1998)

Product details

  • ASIN ‏ : ‎ B00F5TEL8I
  • Publisher ‏ : ‎ Springer
  • Publication date ‏ : ‎ 29 October 2010
  • Edition ‏ : ‎ 2nd
  • Language ‏ : ‎ English
  • File size ‏ : ‎ 29.6 MB
  • Screen Reader ‏ : ‎ Supported
  • Enhanced typesetting ‏ : ‎ Enabled
  • X-Ray ‏ : ‎ Not Enabled
  • Word Wise ‏ : ‎ Not Enabled
  • Print length ‏ : ‎ 1070 pages
  • ISBN-13 ‏ : ‎ 978-1441970558
  • Page Flip ‏ : ‎ Enabled
  • Part of series ‏ : ‎ Applied Mathematical Sciences
  • Customer Reviews:
    5.0 out of 5 stars 8 ratings

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Michael Eugene Taylor

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  • Music Lover
    5.0 out of 5 stars is on point and develops the background I am hoping will be useful in research
    Reviewed in the United States on 26 February 2017
    Verified Purchase
    I have not read this work in any detail yet but so far it reads well, is on point and develops the background I am hoping will be useful in research. A good start to an ambitious survey of modern PDE theory at the graduate level.
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