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001 - NÚMERO DE CONTROL |
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003 - IDENTIFICADOR DEL NÚMERO DE CONTROL |
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SIRSI |
005 - FECHA Y HORA DE LA ULTIMA TRANSACCIÓN |
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20160812084142.0 |
007 - CAMPO FIJO DE DESCRIPCIÓN FIJA--INFORMACIÓN GENERAL |
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100301s2010 gw | s |||| 0|eng d |
020 ## - NÚMERO INTERNACIONAL NORMALIZADO PARA LIBROS |
International Standard Book Number |
9783642008566 |
-- |
978-3-642-00856-6 |
040 ## - FUENTE DE CATALOGACIÓN |
Transcribing agency |
MX-MeUAM |
050 #4 - SIGNATURA TOPOGRÁFICA DE LA BIBLIOTECA DEL CONGRESO |
Classification number |
QA1-939 |
082 04 - NÚMERO DE CLASIFICACIÓN DECIMAL DEWEY |
Classification number |
510 |
Edition number |
23 |
100 1# - ASIENTO PRINCIPAL--NOMBRE PERSONAL |
Personal name |
Aigner, Martin. |
Relator term |
author. |
245 10 - MENCIÓN DE TITULO |
Title |
Proofs from THE BOOK |
Medium |
[recurso electrónico] / |
Statement of responsibility, etc. |
by Martin Aigner, Günter M. Ziegler. |
250 ## - MENCIÓN DE EDICIÓN |
Edition statement |
Fourth Edition. |
264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE |
Place of production, publication, distribution, manufacture |
Berlin, Heidelberg : |
Name of producer, publisher, distributor, manufacturer |
Springer Berlin Heidelberg : |
-- |
Imprint: Springer, |
Date of production, publication, distribution, manufacture, or copyright notice |
2010. |
300 ## - DESCRIPCIÓN FÍSICA |
Extent |
VIII, 274 p. 250 illus. |
Other physical details |
online resource. |
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 |
347 ## - DIGITAL FILE CHARACTERISTICS |
File type |
text file |
Encoding format |
PDF |
Source |
rda |
505 0# - NOTA DE CONTENIDO |
Formatted contents note |
Number Theory -- Six proofs of the infinity of primes -- Bertrand’s postulate -- Binomial coefficients are (almost) never powers -- Representing numbers as sums of two squares -- The law of quadratic reciprocity -- Every finite division ring is a field -- Some irrational numbers -- Three times ?²/6 -- Geometry -- Hilbert’s third problem: decomposing polyhedra -- Lines in the plane and decompositions of graphs -- The slope problem -- Three applications of Euler’s formula -- Cauchy’s rigidity theorem -- Touching simplices -- Every large point set has an obtuse angle -- Borsuk’s conjecture -- Analysis -- Sets, functions, and the continuum hypothesis -- In praise of inequalities -- The fundamental theorem of algebra -- One square and an odd number of triangles -- A theorem of Pólya on polynomials -- On a lemma of Littlewood and Offord -- Cotangent and the Herglotz trick -- Buffon’s needle problem -- Combinatorics -- Pigeon-hole and double counting -- Tiling rectangles -- Three famous theorems on finite sets -- Shuffling cards -- Lattice paths and determinants -- Cayley’s formula for the number of trees -- Identities versus bijections -- Completing Latin squares -- Graph Theory -- The Dinitz problem -- Five-coloring plane graphs -- How to guard a museum -- Turán’s graph theorem -- Communicating without errors -- The chromatic number of Kneser graphs -- Of friends and politicians -- Probability makes counting (sometimes) easy. |
520 ## - NOTA DE RESUMEN, ETC. |
Summary, etc. |
This revised and enlarged fourth edition of "Proofs from THE BOOK" features five new chapters, which treat classical results such as the "Fundamental Theorem of Algebra", problems about tilings, but also quite recent proofs, for example of the Kneser conjecture in graph theory. The new edition also presents further improvements and surprises, among them a new proof for "Hilbert's Third Problem". From the Reviews "... Inside PFTB (Proofs from The Book) is indeed a glimpse of mathematical heaven, where clever insights and beautiful ideas combine in astonishing and glorious ways. There is vast wealth within its pages, one gem after another. Some of the proofs are classics, but many are new and brilliant proofs of classical results. ...Aigner and Ziegler... write: "... all we offer is the examples that we have selected, hoping that our readers will share our enthusiasm about brilliant ideas, clever insights and wonderful observations." I do. ... " Notices of the AMS, August 1999 "... This book is a pleasure to hold and to look at: ample margins, nice photos, instructive pictures, and beautiful drawings ... It is a pleasure to read as well: the style is clear and entertaining, the level is close to elementary, the necessary background is given separately, and the proofs are brilliant. Moreover, the exposition makes them transparent. ..." LMS Newsletter, January 1999 |
596 ## - |
-- |
19 |
650 #0 - ASIENTO SECUNDARIO DE MATERIA - TERMINO TEMÁTICO |
Topical term or geographic name as entry element |
Mathematics. |
650 #0 - ASIENTO SECUNDARIO DE MATERIA - TERMINO TEMÁTICO |
Topical term or geographic name as entry element |
Computer science. |
650 #0 - ASIENTO SECUNDARIO DE MATERIA - TERMINO TEMÁTICO |
Topical term or geographic name as entry element |
Global analysis (Mathematics). |
650 #0 - ASIENTO SECUNDARIO DE MATERIA - TERMINO TEMÁTICO |
Topical term or geographic name as entry element |
Combinatorics. |
650 #0 - ASIENTO SECUNDARIO DE MATERIA - TERMINO TEMÁTICO |
Topical term or geographic name as entry element |
Geometry. |
650 #0 - ASIENTO SECUNDARIO DE MATERIA - TERMINO TEMÁTICO |
Topical term or geographic name as entry element |
Number theory. |
650 14 - ASIENTO SECUNDARIO DE MATERIA - TERMINO TEMÁTICO |
Topical term or geographic name as entry element |
Mathematics. |
650 24 - ASIENTO SECUNDARIO DE MATERIA - TERMINO TEMÁTICO |
Topical term or geographic name as entry element |
Mathematics, general. |
650 24 - ASIENTO SECUNDARIO DE MATERIA - TERMINO TEMÁTICO |
Topical term or geographic name as entry element |
Number Theory. |
650 24 - ASIENTO SECUNDARIO DE MATERIA - TERMINO TEMÁTICO |
Topical term or geographic name as entry element |
Geometry. |
650 24 - ASIENTO SECUNDARIO DE MATERIA - TERMINO TEMÁTICO |
Topical term or geographic name as entry element |
Combinatorics. |
650 24 - ASIENTO SECUNDARIO DE MATERIA - TERMINO TEMÁTICO |
Topical term or geographic name as entry element |
Analysis. |
650 24 - ASIENTO SECUNDARIO DE MATERIA - TERMINO TEMÁTICO |
Topical term or geographic name as entry element |
Computer Science, general. |
700 1# - ASIENTO SECUNDARIO - NOMBRE PERSONAL |
Personal name |
Ziegler, Günter M. |
Relator term |
author. |
710 2# - ASIENTO SECUNDARIO - NOMBRE CORPORATIVO |
Corporate name or jurisdiction name as entry element |
SpringerLink (Online service) |
773 0# - HOST ITEM ENTRY |
Title |
Springer eBooks |
776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
Relationship information |
Printed edition: |
International Standard Book Number |
9783642008559 |
856 40 - LOCALIZACIÓN Y ACCESO ELECTRÓNICOS |
Public note |
Libro electrónico |
Uniform Resource Identifier |
<a href="http://148.231.10.114:2048/login?url=http://link.springer.com/book/10.1007/978-3-642-00856-6">http://148.231.10.114:2048/login?url=http://link.springer.com/book/10.1007/978-3-642-00856-6</a> |
942 ## - TIPO DE MATERIAL (KOHA) |
Koha item type |
Libro Electrónico |