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
Resource Information
The item Proofs from the book, Martin Aigner, Günter M. Ziegler ; including illustrations by Karl H. Hofmann represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of San Diego Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Proofs from the book, Martin Aigner, Günter M. Ziegler ; including illustrations by Karl H. Hofmann represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of San Diego Libraries.
This item is available to borrow from 1 library branch.
 Edition
 4th ed
 Extent
 viii, 274 p.
 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. Pigeonhole 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
 Fivecoloring 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
 Isbn
 9783642008566
 Label
 Proofs from the book
 Title
 Proofs from the book
 Statement of responsibility
 Martin Aigner, Günter M. Ziegler ; including illustrations by Karl H. Hofmann
 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
 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. Pigeonhole 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  Fivecoloring 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
 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. Pigeonhole 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  Fivecoloring 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
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