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The Analysis of Linear Partial Differential Operators I: Distribution Theory and Fourier Analysis (Classics in Mathematics) 2nd ed. 2003 Edition

by Lars Hörmander (Author)
5.0 out of 5 stars 1 customer review
ISBN-13: 978-3540006626
ISBN-10: 3540006621
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  • The Analysis of Linear Partial Differential Operators I: Distribution Theory and Fourier Analysis (Classics in Mathematics)
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  • The Analysis of Linear Partial Differential Operators II: Differential Operators with Constant Coefficients (Classics in Mathematics)
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  • The Analysis of Linear Partial Differential Operators IV: Fourier Integral Operators (Classics in Mathematics)
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Product Details

  • Series: Classics in Mathematics
  • Paperback: 440 pages
  • Publisher: Springer; 2nd ed. 2003 edition (October 4, 2013)
  • Language: English
  • ISBN-10: 3540006621
  • ISBN-13: 978-3540006626
  • Product Dimensions: 6.1 x 1 x 9.2 inches
  • Shipping Weight: 1.8 pounds (View shipping rates and policies)
  • Average Customer Review: 5.0 out of 5 stars  See all reviews (1 customer review)
  • Amazon Best Sellers Rank: #1,017,829 in Books (See Top 100 in Books)

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5.0 out of 5 starsA classic reference
By Eric B Torbrand Dhrif on September 26, 2014
First of all it must be said that I have only read and perused through these four volumes, and I purchased these books ca the year 2000. Albeit the first volume is suitable for a graduate or possibly advanced undergraduate course, the three remaining are comprehensive(basically he mentiones most things in the modern theory of linear PDE's). Thus volume II, III and IV are technical and deep. Things like index theory and pseudo-differential operator theory are mentioned, but also Hamiltonian systems, first integrals, symplectic formulations, Fourier theory, variational principles, local analysis, certain problems related to quantum mechanics like Moller wave operator issues, etc.

For specialists this is a must-read. But keep in mind that it requires time and effort to assimilate the remaining volumes(II, III, IV). Volume I is readily accessible, but specialists will not be primarily interested in I only, but also II, III and IV.

I should point out that these four volumes are the foremost within the area. No other books go that far. You get what you bartered for if you invest the effort needed.

Also, this is a classical reference. You may not know everything in these volumes, but you can refer to them and look up various issues in them. As such they are impeccable. Actually they are the classical reference.
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