Proofs from THE BOOK (Registro nro. 201235)

MARC details
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001 - NÚMERO DE CONTROL
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003 - IDENTIFICADOR DEL NÚMERO DE CONTROL
control field SIRSI
005 - FECHA Y HORA DE LA ULTIMA TRANSACCIÓN
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007 - CAMPO FIJO DE DESCRIPCIÓN FIJA--INFORMACIÓN GENERAL
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008 - ELEMENTOS DE LONGITUD FIJA -- INFORMACIÓN GENERAL
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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
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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
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