MARC details
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20160812080019.0 |
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110512s2011 xxu| s |||| 0|eng d |
| 020 ## - NÚMERO INTERNACIONAL NORMALIZADO PARA LIBROS |
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| International Standard Book Number |
9780387487441 |
| -- |
978-0-387-48744-1 |
| 040 ## - FUENTE DE CATALOGACIÓN |
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| Transcribing agency |
MX-MeUAM |
| 050 #4 - SIGNATURA TOPOGRÁFICA DE LA BIBLIOTECA DEL CONGRESO |
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| Classification number |
QA21-27 |
| 082 04 - NÚMERO DE CLASIFICACIÓN DECIMAL DEWEY |
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| Classification number |
510.9 |
| Edition number |
23 |
| 100 1# - ASIENTO PRINCIPAL--NOMBRE PERSONAL |
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| Personal name |
Krantz, Steven G. |
| Relator term |
author. |
| 245 14 - MENCIÓN DE TITULO |
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| Title |
The Proof is in the Pudding |
| Medium |
[recurso electrónico] : |
| Remainder of title |
The Changing Nature of Mathematical Proof / |
| Statement of responsibility, etc. |
by Steven G. Krantz. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE |
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| Place of production, publication, distribution, manufacture |
New York, NY : |
| Name of producer, publisher, distributor, manufacturer |
Springer New York, |
| Date of production, publication, distribution, manufacture, or copyright notice |
2011. |
| 300 ## - DESCRIPCIÓN FÍSICA |
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| Extent |
XVII, 264 p. 88 illus., 5 illus. in color. |
| Other physical details |
online resource. |
| 336 ## - CONTENT TYPE |
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| Content type term |
text |
| Content type code |
txt |
| Source |
rdacontent |
| 337 ## - MEDIA TYPE |
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| Media type term |
computer |
| Media type code |
c |
| Source |
rdamedia |
| 338 ## - CARRIER TYPE |
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| Carrier type term |
online resource |
| Carrier type code |
cr |
| Source |
rdacarrier |
| 347 ## - DIGITAL FILE CHARACTERISTICS |
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| File type |
text file |
| Encoding format |
PDF |
| Source |
rda |
| 505 0# - NOTA DE CONTENIDO |
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| Formatted contents note |
1. What is a Proof and Why? -- 2. The Ancients -- 3. The Middle Ages and Calculation -- 4. The Dawn of the Modern Age -- 5. Hilbert and the Twentieth Century -- 6. The Four-Color Theorem -- 7. Computer-Generated Proofs -- 8. The Computer as a Mathematical Aid -- 9. Aspects of Mathematical Life -- 10. The Sociology of Mathematical Proof -- 11. A Legacy of Elusive Proofs -- 12. John Horgan and "The Death of Proof" -- 13. Closing Thoughts -- Index of Names -- References -- Index. |
| 520 ## - NOTA DE RESUMEN, ETC. |
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| Summary, etc. |
Krantz’s book covers the full history and evolution of the proof concept. The notion of rigorous thinking has evolved over time, and this book documents that development. It gives examples both of decisive developments in the technique of proof and also of magnificent blunders that taught us about how to think rigorously. Many historical vignettes illustrate the concepts and acquaint the reader with how mathematicians think and what they care about. In modern times, strict rules for generating and recording proof have been established. At the same time, many new vectors and forces have had an influence over the way mathematics is practiced. Certainly the computer plays a fundamental role in many mathematical investigations. But there are also fascinating social forces that have affected the way that we now conceive of proof. Daniel Gorenstein’s program to classify the finite simple groups, Thomas Hales’s resolution of the Kepler sphere-packing problem, Louis de Branges’s proof of the Bieberbach conjecture, and Thurston’s treatment of the geometrization program are but some examples of mathematical proofs that were generated in ways inconceivable 100 years ago. Krantz treats all of them---and more---in some detail; he names the players and tells all the secrets. Many of the proofs treated in this book are described in some detail, with figures and explanatory equations. The reader is given a dose of modern mathematics, and how mathematicians think. Both the joy and the sorrow of mathematical exploration are communicated dynamically and energetically in this exciting new book. |
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19 |
| 650 #0 - ASIENTO SECUNDARIO DE MATERIA - TERMINO TEMÁTICO |
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| Topical term or geographic name as entry element |
Mathematics. |
| 650 #0 - ASIENTO SECUNDARIO DE MATERIA - TERMINO TEMÁTICO |
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| Topical term or geographic name as entry element |
Numerical analysis. |
| 650 #0 - ASIENTO SECUNDARIO DE MATERIA - TERMINO TEMÁTICO |
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| Topical term or geographic name as entry element |
Logic, Symbolic and mathematical. |
| 650 14 - ASIENTO SECUNDARIO DE MATERIA - TERMINO TEMÁTICO |
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| Topical term or geographic name as entry element |
Mathematics. |
| 650 24 - ASIENTO SECUNDARIO DE MATERIA - TERMINO TEMÁTICO |
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| Topical term or geographic name as entry element |
History of Mathematical Sciences. |
| 650 24 - ASIENTO SECUNDARIO DE MATERIA - TERMINO TEMÁTICO |
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| Topical term or geographic name as entry element |
Popular Science in Mathematics/Computer Science/Natural Science/Technology. |
| 650 24 - ASIENTO SECUNDARIO DE MATERIA - TERMINO TEMÁTICO |
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| Topical term or geographic name as entry element |
Mathematical Logic and Foundations. |
| 650 24 - ASIENTO SECUNDARIO DE MATERIA - TERMINO TEMÁTICO |
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| Topical term or geographic name as entry element |
Numerical Analysis. |
| 710 2# - ASIENTO SECUNDARIO - NOMBRE CORPORATIVO |
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| Corporate name or jurisdiction name as entry element |
SpringerLink (Online service) |
| 773 0# - HOST ITEM ENTRY |
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| Title |
Springer eBooks |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
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| Relationship information |
Printed edition: |
| International Standard Book Number |
9780387489087 |
| 856 40 - LOCALIZACIÓN Y ACCESO ELECTRÓNICOS |
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| Public note |
Libro electrónico |
| Uniform Resource Identifier |
<a href="http://148.231.10.114:2048/login?url=http://link.springer.com/book/10.1007/978-0-387-48744-1">http://148.231.10.114:2048/login?url=http://link.springer.com/book/10.1007/978-0-387-48744-1</a> |
| 942 ## - TIPO DE MATERIAL (KOHA) |
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| Koha item type |
Libro Electrónico |
