Introduction to the Theory of Distributions PDF Download

Author: F. G. Friedlander
Publisher: Cambridge University Press
ISBN: 9780521649711
Category : Mathematics
Languages : en
Pages : 192

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Book Description
The second edition of a classic graduate text on the theory of distributions.

Author: J. Ian Richards
Publisher: CUP Archive
ISBN: 9780521558907
Category : Mathematics
Languages : en
Pages : 172

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Book Description
A self-contained mathematical introduction that concentrates on the essential results important to non-specialists.

Author: Svetlin G. Georgiev
Publisher: Springer
ISBN: 3319195271
Category : Mathematics
Languages : en
Pages : 217

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Book Description
This book explains many fundamental ideas on the theory of distributions. The theory of partial differential equations is one of the synthetic branches of analysis that combines ideas and methods from different fields of mathematics, ranging from functional analysis and harmonic analysis to differential geometry and topology. This presents specific difficulties to those studying this field. This book, which consists of 10 chapters, is suitable for upper undergraduate/graduate students and mathematicians seeking an accessible introduction to some aspects of the theory of distributions. It can also be used for one-semester course.

Author: Israel Halperin
Publisher:
ISBN: 9781487591328
Category : Education
Languages : en
Pages : 0

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Book Description
This pamphlet, based on lectures given by Laurent Schwartz at the Canadian Mathematical Congress in 1951, gives a detailed introduction to the theory of distributions, in terms of classical analysis, for applied mathematicians and physicists. Mathematical Congress Lecture Series, No. 1

Author: J.J. Duistermaat
Publisher: Springer Science & Business Media
ISBN: 0817646752
Category : Mathematics
Languages : en
Pages : 455

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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: Gerd Grubb
Publisher: Springer Science & Business Media
ISBN: 0387848940
Category : Mathematics
Languages : en
Pages : 464

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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: Robert S. Strichartz
Publisher: World Scientific
ISBN: 9789812384300
Category : Mathematics
Languages : en
Pages : 238

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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: Thomas A. Severini
Publisher: Cambridge University Press
ISBN: 1139446118
Category : Mathematics
Languages : en
Pages : 3

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Book Description
This detailed introduction to distribution theory uses no measure theory, making it suitable for students in statistics and econometrics as well as for researchers who use statistical methods. Good backgrounds in calculus and linear algebra are important and a course in elementary mathematical analysis is useful, but not required. An appendix gives a detailed summary of the mathematical definitions and results that are used in the book. Topics covered range from the basic distribution and density functions, expectation, conditioning, characteristic functions, cumulants, convergence in distribution and the central limit theorem to more advanced concepts such as exchangeability, models with a group structure, asymptotic approximations to integrals, orthogonal polynomials and saddlepoint approximations. The emphasis is on topics useful in understanding statistical methodology; thus, parametric statistical models and the distribution theory associated with the normal distribution are covered comprehensively.

Author: Jean F. Colombeau
Publisher: Springer
ISBN: 3540475109
Category : Mathematics
Languages : en
Pages : 193

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Book Description
This book presents recent and very elementary developments of a theory of multiplication of distributions in the field of explicit and numerical solutions of systems of PDEs of physics (nonlinear elasticity, elastoplasticity, hydrodynamics, multifluid flows, acoustics). The prerequisites are kept to introductory calculus level so that the book remains accessible at the same time to pure mathematicians (as a smoothand somewhat heuristic introdcution to this theory) and to applied mathematicians, numerical engineers and theoretical physicists (as a tool to treat problems involving products of distributions).

Author: Dorina Mitrea
Publisher: Springer Science & Business Media
ISBN: 1461482089
Category : Mathematics
Languages : en
Pages : 475

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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.​