silviacolasanti.it
» » A Guide to Distribution Theory and Fourier Transforms (Studies in Advanced Mathematics)

Download A Guide to Distribution Theory and Fourier Transforms (Studies in Advanced Mathematics) fb2, epub

by Robert Strichartz

Download A Guide to Distribution Theory and Fourier Transforms (Studies in Advanced Mathematics) fb2, epub

ISBN: 0849382734
Author: Robert Strichartz
Language: English
Publisher: CRC Press; 1 edition (December 31, 1993)
Pages: 224
Category: Mathematics
Subcategory: Science
Rating: 4.5
Votes: 173
Size Fb2: 1852 kb
Size ePub: 1107 kb
Size Djvu: 1124 kb
Other formats: txt doc lrf rtf


Distributions are objects most physicists will frequently encounter during their career, but, surprinsingly, the subject is not given the place it deserves in the current ordinary science curriculum. I would particularly recommend this book to physics students willing to learn the foundation of distribution theory and its close ties to Fourier transforms. Distribution theory is, basically speaking, a way of making rigorous the operations physicists find Ok to carry on functions, that otherwise wouldn't rigorously make sense.

GUIDE TO DISTRIBUTION TH. .has been added to your Cart.

Download A Guide to Distribution Theory and Fourier Transforms (Studies in Advanced Mathematics) PDF. Steven Danaher.

This important book provides a concise exposition of the basic ideas of the theory of distribution and Fourier transforms and its application to partial . About the author (2003). Robert S Strichartz (Cornell University, USA). Bibliographic information.

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.

Start by marking A Guide To Distribution Theory And Fourier Transforms as Want to Read . This book provides a concise exposition of the basic ideas of the theory of distribution and Fourier transforms and its application to partial differential equations

Start by marking A Guide To Distribution Theory And Fourier Transforms as Want to Read: Want to Read savin. ant to Read. This book provides a concise exposition of the basic ideas of the theory of distribution and Fourier transforms and its application to partial differential equations. Methods in which techniques are used in applications are illustrated, and many problems are This book provides a concise exposition of the basic ideas of the theory of distribution and Fourier transforms and its application to partial differential equations.

3 Fourier Transforms 26 . From Fourier series to Fourier integrals 26 . The Schwartz class S 29 . Chapter six returns to distribution theory, explaining the notion of continuity, and giving the important structure theorems. Chapter seven covers Fourier analysis. Properties of the Fourier transform on S 30 . The Fourier inversion formula on S 35 . The Fourier transform of a Gaussian 38 . Problems 41. 4 Fourier Transforms of Tempered Distributions 43. The definitions 43 . Examples 46 . Convolutions with tempered distributions 52 . Problems 54. v vi Contents.

162 results in Cambridge Studies in Advanced Mathematics. Relevance Title Sorted by Date

162 results in Cambridge Studies in Advanced Mathematics. Relevance Title Sorted by Date. The reader is first introduced to category theory, starting with basic definitions and concepts before progressing to more advanced themes. Concrete examples and exercises illustrate the topics, ranging from colimits to constructions such as the Day convolution product.

Studies in Advanced Mathematics. The book also introduces several significant recent topics, including pseudo-differential operators, wave front sets, wavelets, and quasicrystals.

This important book provides a concise exposition of the basic ideas of the theory of distribution and Fourier . I like this book as an introductory distribution theory book. However, if you're digging in to the subject deeply (looking for specific theorems et. you will notice that some things are missing, and some details in proofs are missing. 2 people found this helpful.

This 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 pseudo-differential 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. in applied analysis and mathematical physics.

Comments:

Syleazahad
I like this book as an introductory distribution theory book. It has plenty of examples and the language form makes it easy to not fall asleep when reading. However, if you're digging in to the subject deeply (looking for specific theorems etc.) you will notice that some things are missing, and some details in proofs are missing.
Kaghma
Distributions are objects most physicists will frequently encounter during their career, but, surprinsingly, the subject is not given the place it deserves in the current ordinary science curriculum.
I would particularly recommend this book to physics students willing to learn the foundation of distribution theory and its close ties to Fourier transforms. Distribution theory is, basically speaking, a way of making rigorous the operations physicists find Ok to carry on functions, that otherwise wouldn't rigorously make sense. Distribution theory therefore provides a useful way of checking, in the process of a calculation, if it is allowed (according to the extended rules of distribution theory), or if it is definitely dubious (e.g. current distribution theory doesn't provide a mean of making sense of a product of Dirac delta functions, while such expressions sometimes pop out in the context of quantum field theory ; nevertheless, there exist other formal theories, such as Colombo calculus that aim at justifying this ; yet, for some reason, they seem to bear less power than the original distribution theory).
This work is an easy, gentle, pedagogical piece of mathematical exposition.
The subject is wonderfully motivated.
As such, this book is suited to self-study.
It could also be used as a textbook for an introductory course on the subject, or as an introductory reading to more advanced texts (Aizenman, for instance).
Highly recommended.

Related to A Guide to Distribution Theory and Fourier Transforms (Studies in Advanced Mathematics)

Download Inverse Problems for Partial Differential Equations (Applied Mathematical Sciences) fb2, epub

Inverse Problems for Partial Differential Equations (Applied Mathematical Sciences) fb2 epub

Author: Victor Isakov
Category: Mathematics
ISBN: 0387253645
Download Partial Differential Equations IV: Microlocal Analysis and Hyperbolic Equations (Encyclopaedia of Mathematical Sciences) (v. 6) fb2, epub

Partial Differential Equations IV: Microlocal Analysis and Hyperbolic Equations (Encyclopaedia of Mathematical Sciences) (v. 6) fb2 epub

Author: Yu.V. Egorov,M.A. Shubin,P.C. Sinha,V.Ya. Ivrii
Category: Mathematics
ISBN: 354053363X
Download Methods for Solving Inverse Problems in Mathematical Physics (Chapman  Hall/CRC Pure and Applied Mathematics) fb2, epub

Methods for Solving Inverse Problems in Mathematical Physics (Chapman Hall/CRC Pure and Applied Mathematics) fb2 epub

Author: Global Express Ltd. Co.,Aleksey I. Prilepko,Dmitry G. Orlovsky,Igor A. Vasin
Category: Mathematics
ISBN: 0824719875
Download Introduction to Mathematical Physics: Methods  Concepts fb2, epub

Introduction to Mathematical Physics: Methods Concepts fb2 epub

Author: Chun Wa Wong
Category: Physics
ISBN: 0199641390
Download Fourier Transforms (Cambridge Tracts in Mathematics) fb2, epub

Fourier Transforms (Cambridge Tracts in Mathematics) fb2 epub

Author: Richard R. Goldberg
Category: Mathematics
ISBN: 052105107X
Download A Concise Handbook of Mathematics, Physics, and Engineering Sciences fb2, epub

A Concise Handbook of Mathematics, Physics, and Engineering Sciences fb2 epub

Author: Andrei D. Polyanin,Alexei I. Chernoutsan
Category: Physics
ISBN: 143980639X
Download Mathematical Physics with Partial Differential Equations fb2, epub

Mathematical Physics with Partial Differential Equations fb2 epub

Author: James Kirkwood
Category: Mathematics
ISBN: 0123869110