Differential Equations on Fractals : (Record no. 1330)
[ view plain ]
| 000 -LEADER | |
|---|---|
| fixed length control field | 02052nam a22002057a 4500 |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20250922095919.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 180130b xxu||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 9780691127316 |
| 041 ## - LANGUAGE CODE | |
| Language code of text/sound track or separate title | eng |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 514.742 |
| Item number | RobD |
| 100 ## - MAIN ENTRY--AUTHOR NAME | |
| Personal name | Strichartz, Robert S. |
| 245 ## - TITLE STATEMENT | |
| Title | Differential Equations on Fractals : |
| Remainder of title | A Tutorial / |
| Statement of responsibility, etc | Robert S. Strichartz |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication | UK: |
| Name of publisher | Princeton University Press; |
| Year of publication | ©2006 |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of Pages | 165p. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | Differential Equations on Fractals opens the door to understanding the recently developed area of analysis on fractals, focusing on the construction of a Laplacian on the Sierpinski gasket and related fractals. Written in a lively and informal style, with lots of intriguing exercises on all levels of difficulty, the book is accessible to advanced undergraduates, graduate students, and mathematicians who seek an understanding of analysis on fractals. Robert Strichartz takes the reader to the frontiers of research, starting with carefully motivated examples and constructions.<br/><br/><br/>One of the great accomplishments of geometric analysis in the nineteenth and twentieth centuries was the development of the theory of Laplacians on smooth manifolds. But what happens when the underlying space is rough? Fractals provide models of rough spaces that nevertheless have a strong structure, specifically self-similarity. Exploiting this structure, researchers in probability theory in the 1980s were able to prove the existence of Brownian motion, and therefore of a Laplacian, on certain fractals. An explicit analytic construction was provided in 1989 by Jun Kigami. Differential Equations on Fractals explains Kigami's construction, shows why it is natural and important, and unfolds many of the interesting consequences that have recently been discovered.<br/><br/><br/>This book can be used as a self-study guide for students interested in fractal analysis, or as a textbook for a special topics course. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Differential Geometry |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Fractal Mathematics |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Topology |
| 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 | 30/01/2018 | The Book Syndicate | 3857.00 | BS/35160 | 514.742 ROB | 04040 | 4821.25 | 10/01/2018 | Books | |||
| Mathematics | Indian Institute of Technology Tirupati | Indian Institute of Technology Tirupati | Reference | 26/03/2018 | The Book Syndicate | 3967.20 | BS/35564 | 514.742 ROB | 04392 | 4959.00 | 03/03/2018 | Reference | |||
| Mathematics | Indian Institute of Technology Tirupati | Indian Institute of Technology Tirupati | General Stacks | 26/03/2018 | The Book Syndicate | 3967.20 | BS/35564 | 514.742 ROB | 04393 | 4959.00 | 03/03/2018 | Books |