Proofs from THE BOOK - neues Buch

EAN (ISBN-13): 9783642008566
ISBN (ISBN-10): 3642008569
Erscheinungsjahr: 2009
Herausgeber: Springer-Verlag GmbH
274 Seiten
Sprache: eng/Englisch

Buch in der Datenbank seit 2010-01-31T03:45:46+01:00 (Berlin)
Detailseite zuletzt geändert am 2024-03-12T14:44:06+01:00 (Berlin)
ISBN/EAN: 3642008569

ISBN - alternative Schreibweisen:
3-642-00856-9, 978-3-642-00856-6
Alternative Schreibweisen und verwandte Suchbegriffe:
Autor des Buches: aigner martin ziegler günter, günter hofmann, gunter hofmann, karl ziegler, eberhard
Titel des Buches: rom, proofs from the book, ovo book

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Daten vom Verlag:

Autor/in: Martin Aigner
Titel: Proofs from THE BOOK
Verlag: Springer; Springer Berlin
274 Seiten
Erscheinungsjahr: 2010-01-08
Berlin; Heidelberg; DE
Sprache: Englisch
40,70 € (DE)

EA; E107; eBook; Nonbooks, PBS / Mathematik/Grundlagen; Mathematik: Logik; Verstehen; Algebra; Counting; Finite; Identity; analysis; calculus; combinatorics; function; geometry; number theory; proof; proofs; theorem; A; Mathematical Logic and Foundations; Mathematics; Number Theory; Geometry; Discrete Mathematics; Analysis; Mathematics and Statistics; Mathematische Grundlagen; Mathematik; Zahlentheorie; Geometrie; Diskrete Mathematik; Mathematische Analysis, allgemein; BB

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.