Distributions, Partial Differential Equations, and Harmonic Analysis / (Record no. 5522)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 02890cam a22002535i 4500 |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20240312145642.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 181229s2018 gw |||| o |||| 0|eng |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 9783030032951 |
| 041 ## - LANGUAGE CODE | |
| Language code of text/sound track or separate title | eng |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 515.353 |
| Item number | MitD2 |
| 100 1# - MAIN ENTRY--AUTHOR NAME | |
| Personal name | Mitrea, Dorina |
| 245 10 - TITLE STATEMENT | |
| Title | Distributions, Partial Differential Equations, and Harmonic Analysis / |
| Statement of responsibility, etc | Dorina Mitrea |
| 250 ## - EDITION STATEMENT | |
| Edition statement | 2nd Ed. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication | Switzerland : |
| Name of publisher | Springer, |
| Year of publication | 2018. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of Pages | xxiii, 600p. |
| 440 ## - SERIES STATEMENT/ADDED ENTRY--TITLE | |
| Title | Universitext |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Introduction -- Summary of Topological and Functional Analysis Results -- Weak Derivatives -- The Space D0() of Distributions -- The Fourier Transform -- The Space of Tempered Distributions -- Fundamental Solution -- The Laplace Operator -- The Heat Operator -- The Wave Operator -- The Lame Operator -- Fundamental Solutions for Other Operators -- Hypoelliptic operators -- Sobolev spaces -- Appendix -- References. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | The aim of this book is to offer, in a concise, rigorous, and largely self-contained manner, a rapid introduction to the theory of distributions and its applications to partial differential equations and harmonic analysis. The book is written in a format suitable for a graduate course spanning either over one-semester, when the focus is primarily on the foundational aspects, or over a two-semester period that allows for the proper amount of time to cover all intended applications as well. It presents a balanced treatment of the topics involved, and contains a large number of exercises (upwards of two hundred, more than half of which are accompanied by solutions), which have been carefully chosen to amplify the effect, and substantiate the power and scope, of the theory of distributions. Graduate students, professional mathematicians, and scientifically trained people with a wide spectrum of mathematical interests will find this book to be a useful resource and complete self-study guide. Throughout, a special effort has been made to develop the theory of distributions not as an abstract edifice but rather give the reader a chance to see the rationale behind various seemingly technical definitions, as well as the opportunity to apply the newly developed tools (in the natural build-up of the theory) to concrete problems in partial differential equations and harmonic analysis, at the earliest opportunity. The main additions to the current, second edition, pertain to fundamental solutions (through the inclusion of the Helmholtz operator, the perturbed Dirac operator, and their iterations) and the theory of Sobolev spaces (built systematically from the ground up, exploiting natural connections with the Fourier Analysis developed earlier in the monograph). |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Partial Differential Equations |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Functional Analysis |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Fourier Analysis |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Potential Theory (Mathematics) |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | Books |
| Withdrawn status | Lost status | Damaged status | Collection code | Home library | Current library | Shelving location | Date acquired | Source of acquisition | Purchase Price | Bill number | Full call number | Accession Number | Print Price | Bill Date/Price effective from | Koha item type |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Mathematics | Indian Institute of Technology Tirupati | Indian Institute of Technology Tirupati | General Stacks | 05/03/2024 | Shankar's Book Agency Pvt. Ltd. | 3453.22 | IN33416/23-24 | 515.353 MitD2 | 10198 | 5923.19 | 20/12/2023 | Books |