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| Author | : F. G. Friedlander |
| Publisher | : Cambridge University Press |
| Total Pages | : 192 |
| Release | : 1998 |
| Genre | : Mathematics |
| ISBN | : 9780521649711 |
The second edition of a classic graduate text on the theory of distributions.
| Author | : J. Ian Richards |
| Publisher | : CUP Archive |
| Total Pages | : 172 |
| Release | : 1995-09-29 |
| Genre | : Mathematics |
| ISBN | : 9780521558907 |
A self-contained mathematical introduction that concentrates on the essential results important to non-specialists.
| Author | : Svetlin G. Georgiev |
| Publisher | : Springer |
| Total Pages | : 217 |
| Release | : 2015-07-13 |
| Genre | : Mathematics |
| ISBN | : 3319195271 |
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 | : J.J. Duistermaat |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 455 |
| Release | : 2010-08-09 |
| Genre | : Mathematics |
| ISBN | : 0817646752 |
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 | : Robert S. Strichartz |
| Publisher | : World Scientific |
| Total Pages | : 238 |
| Release | : 2003 |
| Genre | : Mathematics |
| ISBN | : 9789812384300 |
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 | : Gerd Grubb |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 464 |
| Release | : 2008-10-14 |
| Genre | : Mathematics |
| ISBN | : 0387848940 |
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 | : Israel Halperin |
| Publisher | : |
| Total Pages | : 0 |
| Release | : 1952 |
| Genre | : Education |
| ISBN | : 9781487591328 |
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 | : Jean F. Colombeau |
| Publisher | : Springer |
| Total Pages | : 193 |
| Release | : 2006-11-15 |
| Genre | : Mathematics |
| ISBN | : 3540475109 |
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 |
| Total Pages | : 475 |
| Release | : 2013-09-20 |
| Genre | : Mathematics |
| ISBN | : 1461482089 |
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 | : Narayanaswamy Balakrishnan |
| Publisher | : John Wiley & Sons |
| Total Pages | : 322 |
| Release | : 2004-12-04 |
| Genre | : Mathematics |
| ISBN | : 0471722219 |
Designed as an introduction to statistical distribution theory. * Includes a first chapter on basic notations and definitions that are essential to working with distributions. * Remaining chapters are divided into three parts: Discrete Distributions, Continuous Distributions, and Multivariate Distributions. * Exercises are incorporated throughout the text in order to enhance understanding of materials just taught.
