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PDE book?

  1. Jan 5, 2006 #1
    What's the best exposition of Partial Differential Equations methods at the beginning-graduate level? I've found myself needing Green's functions and such and I don't really know that much about them. Dover reprints would be awesome.

    Thanks!
     
  2. jcsd
  3. Jan 5, 2006 #2
    elementary partial differential equations & boundary value problems by richard haberman is one of the standard intros to pdes. it's not a dover reprint & i don't know of any dover reprints though. :frown:
     
  4. Jan 5, 2006 #3

    Astronuc

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    Staff: Mentor

    Partial Differential Equations for Scientists and Engineers
    Stanley J. Farlow

    http://store.doverpublications.com/048667620x.html
    http://web.doverpublications.com/cgi-bin/toc.pl/048667620X

    I'd have to look at my collection to see if I have this one. For the moment, I can't vouch for the quality.

    Partial Differential Equations of Mathematical Physics and Integral Equations
    Ronald B. Guenther, John W. Lee
    http://store.doverpublications.com/0486688895.html

    Introduction to Partial Differential Equations with Applications
    E. C. Zachmanoglou
    Dale W. Thoe
    http://store.doverpublications.com/0486652513.html

    Foundations of Potential Theory
    Oliver D. Kellogg
    http://store.yahoo.com/doverpublications/0486601447.html
    (includes Green's functions).

    Applied Functional Analysis
    D.H. Griffel
    http://store.yahoo.com/doverpublications/0486422585.html
    Chapter 2. Differential Equations and Green's Functions
    3.5 Green's function for the Laplacian
    3.6 Green's function for the Three-dimensional wave equation
     
  5. Jan 5, 2006 #4

    Dr Transport

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    I agree, does everything with Greens functions.
     
  6. Jan 6, 2006 #5
    this is the text i used in my introductory PDE course at the undergrad levl

    http://store.yahoo.com/doverpublications/048668640x.html

    A First Course in Partial Differential Equations with Complex Variables
    H. F. Weinberger
     
  7. Jan 10, 2006 #6
    All book you gave must buy ,have you got any free ebook ?
     
  8. Jan 14, 2006 #7

    CD

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    This book is very informal and not very thorough, but very easy to read.

    This book is slightly more formal than the previous one mentioned and more complete. For the price I just picked them both up years ago and use them as references or for quick review if I can't find what I need elsewhere. I don't really have a good recommendation for a PDE book.
     
  9. Jun 8, 2007 #8
    How about Partial Differential Equations: An introduction, by W. A. Strauss??

    Is this a good book for self-study after learning one semester of ODE??
     
  10. Jun 8, 2007 #9

    mathwonk

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    2015 Award

    All V.I.Arnol'ds book are good and he has one or more on pde.

    heres a used copy:
    Lectures on Partial Differential Equations (ISBN: 3540404481)
    Arnol'd, Vladimir I.
    Bookseller: Blackwell Online
    (Oxford, OX, United Kingdom) Price: US$ 31.58
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    Quantity: 3 Shipping within United Kingdom:
    US$ 3.95
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    Book Description: Springer, 2004. Paperback. Book Condition: Brand New. *** NEW COPY *** TITLE SHIPPED FROM UK *** Pages: 157, Like all of Vladimir Arnold's books, this book is full of geometric insight. Arnold illustrates every principle with a figure. This book aims to cover the most basic parts of the subject and confines itself largely to the Cauchy and Neumann problems for the classical linear equations of mathematical physics, especially Laplace's equation and the wave equation, although the heat equation and the Korteweg-de Vries equation are also discussed. Physical intuition is emphasized. A large number of problems are sprinkled throughout the book, and a full set of problems from examinations given in Moscow are included at the end. Some of these problems are quite challenging! This work was described by "Choice" as an Outstanding Title! (January 2006) Like all of Vladimir Arnold's books, this book is full of geometric insight. Arnold illustrates every principle with a figure. This book aims to cover the most basic parts of the subject and confines itself largely to the Cauchy and Neumann problems for the classical linear equations of mathematical physics, especially Laplace's equation and the wave equation, although the heat equation and the Korteweg-de Vries equation are also discussed. Physical intuition is emphasized. A large number of problems are sprinkled throughout the book, and a full set of problems from examinations given in Moscow are included at the end. Some of these problems are quite challenging!What makes the book unique is Arnold's particular talent at holding a topic up for examination from a new and fresh perspective. He likes to blow away the fog of generality that obscures so much mathematical writing and reveal the essentially simple intuitive ideas underlying the subject. No other mathematical writer does this quite so well as Arnold. Preface to the Second Russian Edition.- 1. The General Theory to one First-Order Equation.- 2. The General Theory to one First-Order Equation (Continued).- 3. Huygens? Principle in the Theory of Wave Propagation.- 4. The Vibrating String (d?Alembert?s Method).- 5. The Fourier Method (for the Vibrating String).- 6. The Theory of Oscillations. The Variational Principle.- 7. The Theory of Oscillations. The Variational Principle (Continued).- 8. Properties of Harmonic Functions.- 9. The Fundamental Solution for the Laplacian. Potentials.- 10. The Double Layer Potential.- 11. Spherical Functions. Maxwell?s Theorem. The Removable Singularities Theorem.- 12. Boundary Value Problems for Laplace?s Equation. Theory of Linear Equations and Systems.- A. The Topological Content of Maxwell?s Theorem on the Multifield Representation of Spherical Functions.- B. Problems. Bookseller Inventory # 3540404481
     
  11. Jun 8, 2007 #10

    mathwonk

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    here is a classic work now in dover paper edition: (from amazon)

    Lectures on Partial Differential Equations by I. G. Petrovsky (Paperback - Jan 14, 1992)
    Buy new: $9.95, 21 Used & new from $2.75
     
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