The Scientific Legacy of Poincaré. (Record no. 128052)
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| fixed length control field | 04501nam a22004933i 4500 |
| 001 - CONTROL NUMBER | |
| control field | EBC4908543 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | MiAaPQ |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20240729131329.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS | |
| fixed length control field | m o d | |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr cnu|||||||| |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 240724s2010 xx o ||||0 fre d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9781470418076 |
| Qualifying information | (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 9780821847183 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (MiAaPQ)EBC4908543 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (Au-PeEL)EBL4908543 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (CaPaEBR)ebr11410084 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (OCoLC)993758513 |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | MiAaPQ |
| Language of cataloging | eng |
| Description conventions | rda |
| -- | pn |
| Transcribing agency | MiAaPQ |
| Modifying agency | MiAaPQ |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | Q143.P7.H475 2010 |
| 082 0# - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 510 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Charpentier, Éric. |
| 245 14 - TITLE STATEMENT | |
| Title | The Scientific Legacy of Poincaré. |
| 250 ## - EDITION STATEMENT | |
| Edition statement | 1st ed. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Place of production, publication, distribution, manufacture | Providence : |
| Name of producer, publisher, distributor, manufacturer | American Mathematical Society, |
| Date of production, publication, distribution, manufacture, or copyright notice | 2010. |
| 264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Date of production, publication, distribution, manufacture, or copyright notice | ©2010. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource (410 pages) |
| 336 ## - CONTENT TYPE | |
| Content type term | text |
| Content type code | txt |
| Source | rdacontent |
| 337 ## - MEDIA TYPE | |
| Media type term | computer |
| Media type code | c |
| Source | rdamedia |
| 338 ## - CARRIER TYPE | |
| Carrier type term | online resource |
| Carrier type code | cr |
| Source | rdacarrier |
| 490 1# - SERIES STATEMENT | |
| Series statement | History of Mathematics ; |
| Volume/sequential designation | v.36 |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Cover -- Title page -- Contents -- List of authors -- Translator's note -- Introduction -- Poincaré and his disk -- Differential equations with algebraic coefficients over arithmetic manifolds -- Poincaré and analytic number theory -- The theory of limit cycles -- Singular points of differential equations: On a theorem of Poincaré -- Periodic orbits of the three body problem: Early history, contributions of Hill and Poincaré, and some recent developments -- On the existence of closed geodesics -- Poincaré's memoir for the Prize of King Oscar II: Celestial harmony entangled in homoclinic intersections -- Variations on Poincaré's recurrence theorem -- Low-dimensional chaos and asymptotic time behavior in the mechanics of fluids -- The concept of "residue" after Poincaré: Cutting across all of mathematics -- The proof of the Poincaré conjecture, according to Perelman -- Henri Poincaré and the partial differential equations of mathematical physics -- Poincaré's calculus of probabilities -- Poincaré and geometric probability -- Poincaré and Lie's third theorem -- The Poincaré group -- Henri Poincaré as an applied mathematician -- Henri Poincaré and his thoughts on the philosophy of science -- Back Cover. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc. | Henri Poincaré (1854-1912) was one of the greatest scientists of his time, perhaps the last one to have mastered and expanded almost all areas in mathematics and theoretical physics. He created new mathematical branches, such as algebraic topology, dynamical systems, and automorphic functions, and he opened the way to complex analysis with several variables and to the modern approach to asymptotic expansions. He revolutionized celestial mechanics, discovering deterministic chaos. In physics, he is one of the fathers of special relativity, and his work in the philosophy of sciences is illuminating. For this book, about twenty world experts were asked to present one part of Poincaré's extraordinary work. Each chapter treats one theme, presenting Poincaré's approach, and achievements, along with examples of recent applications and some current prospects. Their contributions emphasize the power and modernity of the work of Poincaré, an inexhaustible source of inspiration for researchers, as illustrated by the Fields Medal awarded in 2006 to Grigori Perelman for his proof of the Poincaré conjecture stated a century before. This book can be read by anyone with a master's (even a bachelor's) degree in mathematics, or physics, or more generally by anyone who likes mathematical and physical ideas. Rather than presenting detailed proofs, the main ideas are explained, and a bibliography is provided for those who wish to understand the technical details. |
| 588 ## - SOURCE OF DESCRIPTION NOTE | |
| Source of description note | Description based on publisher supplied metadata and other sources. |
| 590 ## - LOCAL NOTE (RLIN) | |
| Local note | Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Chaotic behavior in systems. |
| 655 #4 - INDEX TERM--GENRE/FORM | |
| Genre/form data or focus term | Electronic books. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Ghys, Étienne. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Lesne, Annick. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Bowman, Joshua. |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Relationship information | Print version: |
| Main entry heading | Charpentier, Éric |
| Title | The Scientific Legacy of Poincaré |
| Place, publisher, and date of publication | Providence : American Mathematical Society,c2010 |
| International Standard Book Number | 9780821847183 |
| 797 2# - LOCAL ADDED ENTRY--CORPORATE NAME (RLIN) | |
| Corporate name or jurisdiction name as entry element | ProQuest (Firm) |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | History of Mathematics |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=4908543">https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=4908543</a> |
| Public note | Click to View |
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