MARC details
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05189cam a2200781Ia 4500 |
| 001 - CONTROL NUMBER |
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ocn874921206 |
| 003 - CONTROL NUMBER IDENTIFIER |
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OCoLC |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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20220711222843.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS--GENERAL INFORMATION |
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m o d |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION |
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cr buu|||uu||| |
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091123s2013 si a ob 001 0 eng d |
| 040 ## - CATALOGING SOURCE |
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| Original cataloging agency |
OTZ |
| Language of cataloging |
eng |
| Description conventions |
pn |
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OTZ |
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OCLCO |
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OCLCF |
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GGVRL |
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YDXCP |
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CDX |
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IDEBK |
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E7B |
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DEBSZ |
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OCLCQ |
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CUS |
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COCUF |
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AGLDB |
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MOR |
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OCLCQ |
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U3W |
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OCLCQ |
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OCLCQ |
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OCLCO |
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859584833 |
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861257354 |
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862048231 |
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1086448941 |
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1237219779 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9789814458924 |
| Qualifying information |
(electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9814458929 |
| Qualifying information |
(electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| Cancelled/invalid ISBN |
9789814458917 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| Cancelled/invalid ISBN |
9814458910 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| Cancelled/invalid ISBN |
9781299955363 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| Cancelled/invalid ISBN |
1299955363 |
| 029 1# - (OCLC) |
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| OCLC library identifier |
AU@ |
| System control number |
000058200321 |
| 029 1# - (OCLC) |
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| OCLC library identifier |
DEBBG |
| System control number |
BV043090578 |
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| OCLC library identifier |
DEBBG |
| System control number |
BV044063783 |
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| OCLC library identifier |
DEBSZ |
| System control number |
39411616X |
| 029 1# - (OCLC) |
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| OCLC library identifier |
DEBSZ |
| System control number |
421240679 |
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| OCLC library identifier |
DEBSZ |
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454999208 |
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| OCLC library identifier |
GBVCP |
| System control number |
805052135 |
| 029 1# - (OCLC) |
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| OCLC library identifier |
NZ1 |
| System control number |
15319408 |
| 035 ## - SYSTEM CONTROL NUMBER |
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| System control number |
(OCoLC)874921206 |
| Canceled/invalid control number |
(OCoLC)859584833 |
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(OCoLC)861257354 |
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(OCoLC)862048231 |
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(OCoLC)1086448941 |
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(OCoLC)1237219779 |
| 037 ## - SOURCE OF ACQUISITION |
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| Stock number |
526787 |
| Source of stock number/acquisition |
MIL |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
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| Classification number |
QA329.9 |
| Item number |
.F37 2013 |
| 072 #7 - SUBJECT CATEGORY CODE |
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| Subject category code |
MAT |
| Source |
ukslc |
| 072 #7 - SUBJECT CATEGORY CODE |
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| Subject category code |
MAT |
| Subject category code subdivision |
005000 |
| Source |
bisacsh |
| 072 #7 - SUBJECT CATEGORY CODE |
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| Subject category code |
MAT |
| Subject category code subdivision |
034000 |
| Source |
bisacsh |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
515.7248 |
| Edition number |
22 |
| 049 ## - LOCAL HOLDINGS (OCLC) |
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| Holding library |
MAIN |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Farmakis, Ioannis, |
| Relator term |
author. |
| 9 (RLIN) |
361377 |
| 245 10 - TITLE STATEMENT |
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| Title |
Fixed point theorems and their applications / |
| Statement of responsibility, etc |
Ioannis Farmakis, Martin Moskowitz. |
| 264 #1 - |
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Singapore ; |
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Hackensack, N.J. : |
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World Scientific Pub. Co., |
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2013. |
| 264 #4 - |
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©2013 |
| 300 ## - PHYSICAL DESCRIPTION |
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| Extent |
1 online resource (xi, 234 pages) : |
| Other physical details |
illustrations |
| 336 ## - |
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text |
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txt |
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rdacontent |
| 337 ## - |
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computer |
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c |
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rdamedia |
| 338 ## - |
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online resource |
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cr |
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rdacarrier |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
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| Bibliography, etc |
Includes bibliographical references (pages 219-227) and index. |
| 505 0# - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
Introduction -- 1. Early fixed point theorems. 1.1. The Picard-Banach theorem. 1.2. Vector fields on spheres. 1.3. Proof of the Brouwer theorem and corollaries. 1.4. Fixed point theorems for groups of affine maps of [symbol] -- 2. Fixed point theorems in analysis. 2.1. The Schaüder-Tychonoff theorem. 2.2. Applications of the Schaüder-Tychonoff theorem. 2.3. The theorems of Hahn, Kakutani and Markov-Kakutani. 2.4. Amenable groups -- 3. The Lefschetz fixed point theorem. 3.1. The Lefschetz theorem for compact polyhedra. 3.2. The Lefschetz theorem for a compact manifold. 3.3. Proof of the Lefschetz theorem. 3.4. Some applications. 3.5. The Atiyah-Bott fixed point theorem -- 4. Fixed point theorems in geometry. 4.1. Some generalities on Riemannian manifolds. 4.2. Hadamard manifolds and Cartan's theorem. 4.3. Fixed point theorems for compact manifolds -- 5. Fixed points of volume preserving maps. 5.1. The Poincaré recurrence theorem. 5.2. Symplectic geometry and its fixed point theorems. 5.3. Poincaré's last geometric theorem. 5.4. Automorphisms of Lie algebras. 5.5. Hyperbolic automorphisms of a manifold. 5.6. The Lefschetz zeta function -- 6. Borel's fixed point theorem in algebraic groups. 6.1. Complete varieties and Borel's theorem. 6.2. The projective and Grassmann spaces. 6.3. Projective varieties. 6.4. Consequences of Borel's fixed point. 6.5. Two conjugacy theorems for real linear Lie groups -- 7. Miscellaneous fixed point theorems. 7.1. Applications to number theory. 7.2. Fixed points in group theory. 7.3. A fixed point theorem in complex analysis -- 8. A fixed point theorem in set theory -- Afterword. |
| 520 ## - SUMMARY, ETC. |
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| Summary, etc |
This is the only book that deals comprehensively with fixed point theorems throughout mathematics. Their importance is due, as the book demonstrates, to their wide applicability. Beyond the first chapter, each of the other seven can be read independently of the others so the reader has much flexibility to follow his/her own interests. The book is written for graduate students and professional mathematicians and could be of interest to physicists, economists and engineers. |
| 590 ## - LOCAL NOTE (RLIN) |
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| Local note |
eBooks on EBSCOhost |
| Provenance (VM) [OBSOLETE] |
EBSCO eBook Subscription Academic Collection - Worldwide |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Fixed point theory. |
| 9 (RLIN) |
144782 |
| 650 #6 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Théorème du point fixe. |
| 9 (RLIN) |
909489 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
MATHEMATICS |
| General subdivision |
Calculus. |
| Source of heading or term |
bisacsh |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
MATHEMATICS |
| General subdivision |
Mathematical Analysis. |
| Source of heading or term |
bisacsh |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Fixed point theory. |
| Source of heading or term |
fast |
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(OCoLC)fst00926886 |
| 9 (RLIN) |
144782 |
| 655 #0 - INDEX TERM--GENRE/FORM |
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| Genre/form data or focus term |
Electronic books. |
| 655 #4 - INDEX TERM--GENRE/FORM |
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| Genre/form data or focus term |
Electronic books. |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
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| Personal name |
Moskowitz, Martin A., |
| Relator term |
author. |
| 9 (RLIN) |
383411 |
| 710 2# - ADDED ENTRY--CORPORATE NAME |
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| Corporate name or jurisdiction name as entry element |
World Scientific (Firm) |
| 9 (RLIN) |
74845 |
| 776 1# - ADDITIONAL PHYSICAL FORM ENTRY |
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| International Standard Book Number |
9789814458917 |
| 856 40 - ELECTRONIC LOCATION AND ACCESS |
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| Uniform Resource Identifier |
<a href="https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=645968">https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=645968</a> |
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Askews and Holts Library Services |
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ASKH |
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AH25703561 |
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Coutts Information Services |
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COUT |
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26293403 |
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EBL - Ebook Library |
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EBLB |
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EBL1441492 |
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ebrary |
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EBRY |
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ebr10775238 |
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EBSCOhost |
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EBSC |
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645968 |
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Cengage Learning |
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GVRL |
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GVRL8QZU |
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ProQuest MyiLibrary Digital eBook Collection |
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IDEB |
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cis26293403 |
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YBP Library Services |
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YANK |
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11202597 |
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INOPJ |
