Riemann surfaces (Record no. 565957)
[ view plain ]
| 000 -LEADER | |
|---|---|
| fixed length control field | 02103 a2200217 4500 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | OSt |
| 040 ## - CATALOGING SOURCE | |
| Transcribing agency | IIT Kanpur |
| 041 ## - LANGUAGE CODE | |
| Language code of text/sound track or separate title | eng |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 515.93 |
| Item number | D714r |
| 100 ## - MAIN ENTRY--AUTHOR NAME | |
| Personal name | Donaldson, Simon |
| 245 ## - TITLE STATEMENT | |
| Title | Riemann surfaces |
| Statement of responsibility, etc | Simon Donaldson |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Name of publisher | Oxford University Press |
| Year of publication | 2011 |
| Place of publication | Oxford |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of Pages | xiv, 286p |
| 440 ## - SERIES STATEMENT/ADDED ENTRY--TITLE | |
| Title | Oxford graduate texts in mathematics series |
| 490 ## - SERIES STATEMENT | |
| Volume number/sequential designation | v.22 |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | The theory of Riemann surfaces occupies a very special place in mathematics. It is a culmination of much of traditional calculus, making surprising connections with geometry and arithmetic. It is an extremely useful part of mathematics, knowledge of which is needed by specialists in many other fields. It provides a model for a large number of more recent developments in areas including manifold topology, global analysis, algebraic geometry, Riemannian geometry, anddiverse topics in mathematical physics.This graduate text on Riemann surface theory proves the fundamental analytical results on the existence of meromorphic functions and the Uniformisation Theorem. The approach taken emphasises PDE methods, applicable more generally in global analysis. The connection with geometric topology, and in particular the role of the mapping class group, is also explained. To this end, some more sophisticated topics have been included, compared with traditional texts at this level. While the treatment isnovel, the roots of the subject in traditional calculus and complex analysis are kept well in mind.Part I sets up the interplay between complex analysis and topology, with the latter treated informally. Part II works as a rapid first course in Riemann surface theory, including elliptic curves. The core of the book is contained in Part III, where the fundamental analytical results are proved. Following this section, the remainder of the text illustrates various facets of the more advanced theory. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Riemann surfaces |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Functions |
| 856 ## - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | https://ebookcentral.proquest.com/lib/iitk-ebooks/detail.action?docID=3055739&query=3055739 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | E books |
| Withdrawn status | Lost status | Damaged status | Not for loan | Collection code | Permanent Location | Current Location | Date acquired | Source of acquisition | Cost, normal purchase price | Accession Number | Cost, replacement price | Koha item type |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Electronic Resources | PK Kelkar Library, IIT Kanpur | PK Kelkar Library, IIT Kanpur | 2023-03-27 | 36 | 24415.00 | EBK10802 | 23252.17 | E books |