MARC details
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03357nam a2200337 a 4500 |
| 001 - CONTROL NUMBER |
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00006351 |
| 003 - CONTROL NUMBER IDENTIFIER |
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WSP |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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20230530093910.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS |
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m d |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION |
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cr buu|||uu||| |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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091123s2015 si a sb 001 0 eng d |
| 010 ## - LIBRARY OF CONGRESS CONTROL NUMBER |
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| LC control number |
2014043918 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9789814618052 |
| Qualifying information |
electronic bk. |
| 040 ## - CATALOGING SOURCE |
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| Original cataloging agency |
WSPC |
| Language of cataloging |
eng |
| Transcribing agency |
WSPC |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
510 |
| Edition number |
22 |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Krieger, Martin H. |
| 245 10 - TITLE STATEMENT |
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| Title |
Doing Mathematics : |
| Remainder of title |
Convention, Subject, Calculation, Analogy |
| 250 ## - EDITION STATEMENT |
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| Edition statement |
2nd ed. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
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| Place of publication, distribution, etc. |
Singapore : |
| Name of publisher, distributor, etc. |
World Scientific Pub. Co., |
| Date of publication, distribution, etc. |
©2015. |
| 300 ## - PHYSICAL DESCRIPTION |
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| Extent |
492 p. |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
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| Bibliography, etc |
Includes bibliographical references (p. 431-462) and index. |
| 505 0# - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
1. Introduction -- 2. Convention: How means and variances are entrenched as statistics -- 3. Subject: The fields of topology -- 4. Calculation: Strategy, structure, and tactics in applying classical analysis -- 5. Analogy: A syzygy between a research program in mathematics and a research program in physics -- 6. In concreto: The city of mathematics. |
| 520 ## - SUMMARY, ETC. |
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| Summary, etc. |
Doing Mathematics discusses some ways mathematicians and mathematical physicists do their work and the subject matters they uncover and fashion. The conventions they adopt, the subject areas they delimit, what they can prove and calculate about the physical world, and the analogies they discover and employ, all depend on the mathematics - what will work out and what won't. The cases studied include the central limit theorem of statistics, the sound of the shape of a drum, the connections between algebra and topology, and the series of rigorous proofs of the stability of matter. The many and varied solutions to the two-dimensional Ising model of ferromagnetism make sense as a whole when they are seen in an analogy developed by Richard Dedekind in the 1880s to algebraicize Riemann's function theory; by Robert Langlands' program in number theory and representation theory; and, by the analogy between one-dimensional quantum mechanics and two-dimensional classical statistical mechanics. In effect, we begin to see "an identity in a manifold presentation of profiles", as the phenomenologists would say. This second edition deepens the particular examples; it describe the practical role of mathematical rigor; it suggests what might be a mathematician's philosophy of mathematics; and, it shows how an "ugly" first proof or derivation embodies essential features, only to be appreciated after many subsequent proofs. Natural scientists and mathematicians trade physical models and abstract objects, remaking them to suit their needs, discovering new roles for them as in the recent case of the Painleve transcendents, the Tracy-Widom distribution, and Toeplitz determinants. And mathematics has provided the models and analogies, the ordinary language, for describing the everyday world, the structure of cities, or God's infinitude. |
| 533 ## - REPRODUCTION NOTE |
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| Type of reproduction |
Electronic reproduction. |
| Place of reproduction |
Singapore : |
| Agency responsible for reproduction |
World Scientific Publishing Co., |
| Date of reproduction |
2015. |
| Note about reproduction |
System requirements: Adobe Acrobat Reader. |
| -- |
Mode of access: World Wide Web. |
| -- |
Available to subscribing institutions. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Mathematics |
| General subdivision |
Research. |
| 655 #0 - INDEX TERM--GENRE/FORM |
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| Genre/form data or focus term |
Electronic books. |
| 776 1# - ADDITIONAL PHYSICAL FORM ENTRY |
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| International Standard Book Number |
9789814571838 |
| 776 1# - ADDITIONAL PHYSICAL FORM ENTRY |
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| International Standard Book Number |
9789814571845 |
| 856 40 - ELECTRONIC LOCATION AND ACCESS |
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| Uniform Resource Identifier |
<a href="http://www.worldscientific.com/worldscibooks/10.1142/9021#t=toc">http://www.worldscientific.com/worldscibooks/10.1142/9021#t=toc</a> |
| Public note |
ebook |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
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| Source of classification or shelving scheme |
Dewey Decimal Classification |
| Koha item type |
E-Books |
