The Analysis of Linear Partial Differential Operators II: Differential Operators with Constant Coefficients (Classics in Mathematics) 2005th Edition by Lars Hörmander (PDF)

Description

Author received the 1962 Fields MedalAuthor received the 1988 Wolf Prize (honoring achievemnets of a lifetime)Author is leading expert in partial differential equations

User’s Reviews

Editorial Reviews: Review From the reviews: “…these volumes are excellently written and make for greatly profitable reading. For years to come they will surely be a main reference for anyone wishing to study partial differential operators.”– MATHEMATICAL REVIEWS “This volume focuses on linear partial differential operators with constant coefficients … . Each chapter ends with notes on the literature, and there is a large bibliography. … The binding of this softcover reprint seems quite good … . Overall, it is great to have this book back at an affordable price. It really does deserve to be described as a classic.” (Fernando Q. Gouvêa, MathDL, January, 2005) About the Author Biography of Lars HörmanderBorn on January 24, 1931, on the southern coast of Sweden, Lars Hörmander did his secondary schooling as well as his undergraduate and doctoral studies in Lund. His principle teacher and adviser at the University of Lund was Marcel Riesz until he returned, then Lars Gårding. In 1956 he worked in the USA, at the universities of Chicago, Kansas, Minnesota and New York, before returning to a chair at the University of Stockholm. He remained a frequent visitor to the US, particularly to Stanford and was Professor at the IAS, Princeton from 1964 to 1968. In 1968 he accepted a chair at the University of Lund, Sweden, where, today, he is Emeritus Professor. Hörmander’s lifetime work has been devoted to the study of partial differential equations and its applications in complex analysis. In 1962 he was awarded the Fields Medal for his contributions to the general theory of linear partial differential operators. His book Linear Partial Differential Operators published 1963 by Springer in the Grundlehren series was the first major account of this theory. His four volume text The Analysis of Linear Partial Differential Operators published in the same series 20 years later illustrates the vast expansion of the subject in that period.

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐I bought the new 2005 print of The Analysis of Linear Partial Differential Operators II (supposedly the same content as the second revised printing 1990) from Amazon and returned it. I again bought it from Springer and returned it. The reason was poor print quality. The book is unreadable. See for example page 283. Just compare to the 1990 print from library.Interestingly, the new 2003 print of volume one (The Analysis of Linear Partial Differential Operators I) does not have print quality issue.

⭐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, this with reference to the other reviewer. 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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