The Analysis Of Linear Partial Differential Operators Distribution Theory And Fourier Analysis
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Author | : Lars Hörmander |
Publisher | : Springer |
Total Pages | : 462 |
Release | : 1990-08-10 |
Genre | : Mathematics |
ISBN | : 9783540523437 |
Download The Analysis of Linear Partial Differential Operators I Book in PDF, Epub and Kindle
The main change in this edition is the inclusion of exercises with answers and hints. This is meant to emphasize that this volume has been written as a general course in modern analysis on a graduate student level and not only as the beginning of a specialized course in partial differen tial equations. In particular, it could also serve as an introduction to harmonic analysis. Exercises are given primarily to the sections of gen eral interest; there are none to the last two chapters. Most of the exercises are just routine problems meant to give some familiarity with standard use of the tools introduced in the text. Others are extensions of the theory presented there. As a rule rather complete though brief solutions are then given in the answers and hints. To a large extent the exercises have been taken over from courses or examinations given by Anders Melin or myself at the University of Lund. I am grateful to Anders Melin for letting me use the problems originating from him and for numerous valuable comments on this collection. As in the revised printing of Volume II, a number of minor flaws have also been corrected in this edition. Many of these have been called to my attention by the Russian translators of the first edition, and I wish to thank them for our excellent collaboration.
Author | : Lars Hörmander |
Publisher | : Springer |
Total Pages | : 454 |
Release | : 2015-03-30 |
Genre | : Mathematics |
ISBN | : 3642614973 |
Download The Analysis of Linear Partial Differential Operators I Book in PDF, Epub and Kindle
The main change in this edition is the inclusion of exercises with answers and hints. This is meant to emphasize that this volume has been written as a general course in modern analysis on a graduate student level and not only as the beginning of a specialized course in partial differen tial equations. In particular, it could also serve as an introduction to harmonic analysis. Exercises are given primarily to the sections of gen eral interest; there are none to the last two chapters. Most of the exercises are just routine problems meant to give some familiarity with standard use of the tools introduced in the text. Others are extensions of the theory presented there. As a rule rather complete though brief solutions are then given in the answers and hints. To a large extent the exercises have been taken over from courses or examinations given by Anders Melin or myself at the University of Lund. I am grateful to Anders Melin for letting me use the problems originating from him and for numerous valuable comments on this collection. As in the revised printing of Volume II, a number of minor flaws have also been corrected in this edition. Many of these have been called to my attention by the Russian translators of the first edition, and I wish to thank them for our excellent collaboration.
Author | : Lars Hörmander |
Publisher | : Springer |
Total Pages | : 412 |
Release | : 1983 |
Genre | : Mathematics |
ISBN | : |
Download The Analysis of Linear Partial Differential Operators: Distribution theory and Fourier analysis Book in PDF, Epub and Kindle
Author | : Lars Hörmander |
Publisher | : |
Total Pages | : |
Release | : 1983 |
Genre | : |
ISBN | : |
Download The Analysis of Linear Partial Differential Operators Book in PDF, Epub and Kindle
Author | : Lars Hörmander |
Publisher | : Springer My Copy UK |
Total Pages | : 408 |
Release | : 1983-05-01 |
Genre | : Differential equations, Partial |
ISBN | : 9783642967511 |
Download The analysis of linear partial differential operators Book in PDF, Epub and Kindle
Author | : Lars Hörmander |
Publisher | : Springer |
Total Pages | : 458 |
Release | : 1990 |
Genre | : Differential equations, Partial |
ISBN | : |
Download The Analysis of Linear Partial Differential Operators Book in PDF, Epub and Kindle
Author | : Robert S. Strichartz |
Publisher | : World Scientific |
Total Pages | : 238 |
Release | : 2003 |
Genre | : Mathematics |
ISBN | : 9789812384300 |
Download A Guide to Distribution Theory and Fourier Transforms Book in PDF, Epub and Kindle
This important book provides a concise exposition of the basic ideas of the theory of distribution and Fourier transforms and its application to partial differential equations. The author clearly presents the ideas, precise statements of theorems, and explanations of ideas behind the proofs. Methods in which techniques are used in applications are illustrated, and many problems are included. The book also introduces several significant recent topics, including pseudodifferential operators, wave front sets, wavelets, and quasicrystals. Background mathematical prerequisites have been kept to a minimum, with only a knowledge of multidimensional calculus and basic complex variables needed to fully understand the concepts in the book.A Guide to Distribution Theory and Fourier Transforms can serve as a textbook for parts of a course on Applied Analysis or Methods of Mathematical Physics, and in fact it is used that way at Cornell.
Author | : Lars Hörmander |
Publisher | : Springer Science & Business Media |
Total Pages | : 416 |
Release | : 2004-11-17 |
Genre | : Mathematics |
ISBN | : 9783540225164 |
Download The Analysis of Linear Partial Differential Operators II Book in PDF, Epub and Kindle
Author received the 1962 Fields Medal Author received the 1988 Wolf Prize (honoring achievemnets of a lifetime) Author is leading expert in partial differential equations
Author | : Lars Hörmander |
Publisher | : Springer Science & Business Media |
Total Pages | : 363 |
Release | : 2009-04-28 |
Genre | : Mathematics |
ISBN | : 364200136X |
Download The Analysis of Linear Partial Differential Operators IV Book in PDF, Epub and Kindle
From the reviews: "Volumes III and IV complete L. Hörmander's treatise on linear partial differential equations. They constitute the most complete and up-to-date account of this subject, by the author who has dominated it and made the most significant contributions in the last decades.....It is a superb book, which must be present in every mathematical library, and an indispensable tool for all - young and old - interested in the theory of partial differential operators." L. Boutet de Monvel in Bulletin of the American Mathematical Society, 1987 "This treatise is outstanding in every respect and must be counted among the great books in mathematics. It is certainly no easy reading (...) but a careful study is extremely rewarding for its wealth of ideas and techniques and the beauty of presentation." J. Brüning in Zentralblatt MATH, 1987 Honours awarded to Lars Hörmander: Fields Medal 1962, Speaker at International Congress 1970, Wolf Prize 1988, AMS Steele Prize 2006
Author | : J.J. Duistermaat |
Publisher | : Springer Science & Business Media |
Total Pages | : 455 |
Release | : 2010-08-09 |
Genre | : Mathematics |
ISBN | : 0817646752 |
Download Distributions Book in PDF, Epub and Kindle
This textbook is an application-oriented introduction to the theory of distributions, a powerful tool used in mathematical analysis. The treatment emphasizes applications that relate distributions to linear partial differential equations and Fourier analysis problems found in mechanics, optics, quantum mechanics, quantum field theory, and signal analysis. The book is motivated by many exercises, hints, and solutions that guide the reader along a path requiring only a minimal mathematical background.