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Author: Gerd Grubb Publisher: Springer Science & Business Media ISBN: 0387848940 Category : Mathematics Languages : en Pages : 464
Book Description
This book gives an introduction to distribution theory, based on the work of Schwartz and of many other people. It is the first book to present distribution theory as a standard text. Each chapter has been enhanced with many exercises and examples.
Author: Gerd Grubb Publisher: Springer Science & Business Media ISBN: 0387848940 Category : Mathematics Languages : en Pages : 464
Book Description
This book gives an introduction to distribution theory, based on the work of Schwartz and of many other people. It is the first book to present distribution theory as a standard text. Each chapter has been enhanced with many exercises and examples.
Author: Lars Hörmander Publisher: Springer ISBN: 9783540523437 Category : Mathematics Languages : en Pages : 460
Book Description
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: Philippe Blanchard Publisher: Springer Science & Business Media ISBN: 1461200490 Category : Mathematics Languages : en Pages : 469
Book Description
Physics has long been regarded as a wellspring of mathematical problems. Mathematical Methods in Physics is a self-contained presentation, driven by historic motivations, excellent examples, detailed proofs, and a focus on those parts of mathematics that are needed in more ambitious courses on quantum mechanics and classical and quantum field theory. Aimed primarily at a broad community of graduate students in mathematics, mathematical physics, physics and engineering, as well as researchers in these disciplines.
Author: J.J. Duistermaat Publisher: Springer Science & Business Media ISBN: 0817646752 Category : Mathematics Languages : en Pages : 445
Book Description
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.
Author: Prem Kythe Publisher: Springer Science & Business Media ISBN: 9780817638696 Category : Mathematics Languages : en Pages : 448
Book Description
A self-contained and systematic development of an aspect of analysis which deals with the theory of fundamental solutions for differential operators, and their applications to boundary value problems of mathematical physics, applied mathematics, and engineering, with the related computational aspects.
Author: Dorina Mitrea Publisher: Springer Science & Business Media ISBN: 1461482089 Category : Mathematics Languages : en Pages : 460
Book Description
The theory of distributions constitutes an essential tool in the study of partial differential equations. This textbook would offer, in a concise, largely self-contained form, a rapid introduction to the theory of distributions and its applications to partial differential equations, including computing fundamental solutions for the most basic differential operators: the Laplace, heat, wave, Lam\'e and Schrodinger operators.
Author: Robert S. Strichartz Publisher: World Scientific ISBN: 9789812384300 Category : Mathematics Languages : en Pages : 238
Book Description
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: Bert-Wolfgang Schulze Publisher: Springer Science & Business Media ISBN: 3034601980 Category : Mathematics Languages : en Pages : 300
Book Description
Consists of the expository paper based on the 6-hour minicourse given by Professor Bert-Wolfgang Schulze, and sixteen papers based on lectures given at the workshop and on invitations.
Author: Gerd Grubb
Author: Gerd Grubb
Author: Lars Hörmander
Author: Philippe Blanchard
Author: J.J. Duistermaat
Author: Prem Kythe
Author: Francois Treves
Author: Dorina Mitrea
Author: Samuel Zaidman
Author: Robert S. Strichartz
Author: Bert-Wolfgang Schulze