Differential geometry and topology : (Record no. 1431621)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 02486cam a22002654a 4500 |
| 001 - CONTROL NUMBER | |
| control field | 13944822 |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20250611153233.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 050427s2005 flua b 001 0 eng |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780367413323 |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | CSL |
| Transcribing agency | CSL |
| 041 ## - LANGUAGE CODE | |
| Source of code | eng |
| Language code of text/sound track or separate title | eng |
| 084 ## - COLON CLASSIFICATION NUMBER | |
| Classification number | B6 : 3 P5 NBHM |
| Assigning agency | CSL |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Burns, Keith, |
| Relator term | author. |
| 9 (RLIN) | 812637 |
| 245 10 - TITLE STATEMENT | |
| Title | Differential geometry and topology : |
| Remainder of title | with a view to dynamical systems |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. | |
| Place of publication, distribution, etc. | Boca Raton : |
| Name of publisher, distributor, etc. | CRC Press, |
| Date of publication, distribution, etc. | 2005. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | ix, 389 p. : |
| Other physical details | ill. ; |
| Dimensions | 24 cm. |
| 440 #0 - SERIES STATEMENT/ADDED ENTRY--TITLE | |
| Title | Studies in advanced mathematics |
| 9 (RLIN) | 812638 |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE | |
| Bibliography, etc. note | Includes bibliographical references (p. 379-383) and index. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc. | Accessible, concise, and self-contained, this book offers an outstanding introduction to three related subjects: differential geometry, differential topology, and dynamical systems. Topics of special interest addressed in the book include Brouwer's fixed point theorem, Morse Theory, and the geodesic flow.<br/><br/>Smooth manifolds, Riemannian metrics, affine connections, the curvature tensor, differential forms, and integration on manifolds provide the foundation for many applications in dynamical systems and mechanics. The authors also discuss the Gauss-Bonnet theorem and its implications in non-Euclidean geometry models.<br/><br/>The differential topology aspect of the book centers on classical, transversality theory, Sard's theorem, intersection theory, and fixed-point theorems. The construction of the de Rham cohomology builds further arguments for the strong connection between the differential structure and the topological structure. It also furnishes some of the tools necessary for a complete understanding of the Morse theory. These discussions are followed by an introduction to the theory of hyperbolic systems, with emphasis on the quintessential role of the geodesic flow.<br/><br/>The integration of geometric theory, topological theory, and concrete applications to dynamical systems set this book apart. With clean, clear prose and effective examples, the authors' intuitive approach creates a treatment that is comprehensible to relative beginners, yet rigorous enough for those with more background and experience in the field. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Geometry, Differential. |
| 9 (RLIN) | 812572 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Differential topology. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Differentiable dynamical systems. |
| 9 (RLIN) | 717560 |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Gidea, Marian. |
| Relator term | co-author. |
| 9 (RLIN) | 812639 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Source of classification or shelving scheme | Colon Classification (CC) |
| Suppress in OPAC | No |
| Koha item type | Textual |
| Classification part | B6 : 3 P5 NBHM |
| Withdrawn status | Lost status | Source of classification or shelving scheme | Damaged status | Not for loan | Home library | Current library | Date acquired | Source of acquisition | Total Checkouts | Full call number | Barcode | Date last seen | Price effective from | Koha item type |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Colon Classification (CC) | Central Science Library | Faculty of Mathematical Sciences Library | 2025-01-17 | N R Book Distributors | B6 : 3 P5 NBHM | SL1656227 | 2025-06-11 | 2025-06-11 | Textual |