Differential geometry, lie groups, and symmetric spaces (notice n° 5461)
| 000 -LEADER | |
|---|---|
| fixed length control field | 02518nam a2200253 u 4500 |
| 001 - CONTROL NUMBER | |
| control field | UNI0000345 |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20161122163421.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 130514s2001 XX eng |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 0821828487 (hardcover) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780821828489 (hardcover) |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | DCLC |
| 040 ## - CATALOGING SOURCE | |
| Modifying agency | IMIST |
| Description conventions | AFNOR |
| 041 1# - LANGUAGE CODE | |
| Language code of text/sound track or separate title | eng |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 516.37 |
| Edition number | 22. |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Helgason, Sigurdur. |
| 245 #0 - TITLE STATEMENT | |
| Title | Differential geometry, lie groups, and symmetric spaces |
| Statement of responsibility, etc | Sigurdur Helgason. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication, distribution, etc | Providence (R. I.) |
| Name of publisher, distributor, etc | American Mathematical Society |
| Date of publication, distribution, etc | 2001. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 641 p. |
| Dimensions | 27 cm. |
| 490 1# - SERIES STATEMENT | |
| Series statement | Graduate studies in mathematics. |
| 500 ## - GENERAL NOTE | |
| General note | The study of homogeneous spaces provides excellent insights into both differential geometry and Lie groups. In geometry, for instance, general theorems and properties will also hold for homogeneous spaces, and will usually be easier to understand and to prove in this setting. For Lie groups, a significant amount of analysis either begins with or reduces to analysis on homogeneous spaces, frequently on symmetric spaces. For many years and for many mathematicians, Sigurdur Helgason's classic Differential Geometry, Lie Groups, and Symmetric Spaces has been--and continues to be--the standard source for this material. Helgason begins with a concise, self-contained introduction to differential geometry. He then introduces Lie groups and Lie algebras, including important results on their structure. This sets the stage for the introduction and study of symmetric spaces, which form the central part of the book. The text concludes with the classification of symmetric spaces by means of the Killing-Cartan classification of simple Lie algebras over $mathbf{C}$ and Cartan's classification of simple Lie algebras over $mathbf{R}$. The excellent exposition is supplemented by extensive collections of useful exercises at the end of each chapter. All the problems have either solutions or substantial hints, found at the back of the book. For this latest edition, Helgason has made corrections and added helpful notes and useful references. The sequels to the present book are published in the AMS's Mathematical Surveys and Monographs Series: Groups and Geometric Analysis, Volume 83, and Geometric Analysis on Symmetric Spaces, Volume 39. Sigurdur Helgason was awarded the Steele Prize for Differential Geometry, Lie Groups, and Symmetric Spaces and Groups and Geometric Analysis. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Geometry, Differential |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Lie groups |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Symmetric spaces |
| Withdrawn status | Lost status | Damaged status | Not for loan | Permanent Location | Current Location | Date acquired | Inventory number | Total Checkouts | Full call number | Barcode | Date last seen | Price effective from | Koha item type |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| La bibliothèque des Sciences Exactes et Naturelles | La bibliothèque des Sciences Exactes et Naturelles | 15235 | 516.37 HEL | 0000000017178 | 11/22/2016 | 11/22/2016 | Livre |