Coverart for item
The Resource Proofs from the book, Martin Aigner, Günter M. Ziegler ; including illustrations by Karl H. Hofmann

Proofs from the book, Martin Aigner, Günter M. Ziegler ; including illustrations by Karl H. Hofmann

Label
Proofs from the book
Title
Proofs from the book
Statement of responsibility
Martin Aigner, Günter M. Ziegler ; including illustrations by Karl H. Hofmann
Creator
Contributor
Subject
Genre
Language
eng
Cataloging source
DLC
Illustrations
illustrations
Index
index present
LC call number
QA36
LC item number
.A36 2010
Literary form
non fiction
Nature of contents
bibliography
Label
Proofs from the book, Martin Aigner, Günter M. Ziegler ; including illustrations by Karl H. Hofmann
Instantiates
Publication
Bibliography note
Includes bibliographical references and index
Contents
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 [pi squared]/6 -- Geometry. Hubert'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
Control code
449850458
Dimensions
25 cm
Edition
4th ed
Extent
viii, 274 p.
Isbn
9783642008566
Lccn
2009935526
Other physical details
ill. (some col.)
Publisher number
12206872
System control number
(OCoLC)449850458
Label
Proofs from the book, Martin Aigner, Günter M. Ziegler ; including illustrations by Karl H. Hofmann
Publication
Bibliography note
Includes bibliographical references and index
Contents
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 [pi squared]/6 -- Geometry. Hubert'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
Control code
449850458
Dimensions
25 cm
Edition
4th ed
Extent
viii, 274 p.
Isbn
9783642008566
Lccn
2009935526
Other physical details
ill. (some col.)
Publisher number
12206872
System control number
(OCoLC)449850458

Library Locations

    • Copley LibraryBorrow it
      5998 Alcalá Park, San Diego, CA, 92110-2492, US
      32.771354 -117.193327
Processing Feedback ...