Normal view MARC view ISBD view

The Banach-Tarski Paradox / Grzegorz Tomkowicz

By: Tomkowicz, GrzegorzContributor(s): Tomkowicz, Grzegorz | Wagon, SMaterial type: Text

TextPublisher number: :Technical Bureau India Pvt. Ltd. | :E/261, Shastri Nagar DelhiSeries: Encyclopedia of mathematics and its applications, v. 163Publication details: New York :Cambridge University Press, 2016Description: xviii, 348p. 24cmISBN: 9781107617315Subject(s): Mathematics | General principles of mathematics | Banach-Tarski paradox | Measure theory | Théorie de la mesure | Banach-Tarski, Paradoxe de | Decomposition (Mathematics)DDC classification: 511.322 TOM

Contents:

The Hausdorff paradox -- The Banach-Tarski paradox : duplicating spheres and balls -- Hyperbolic paradoxes -- Locally commutative actions : minimizing the number of pieces in a paradoxical decomposition -- Higher dimensions -- Free groups of large rank : getting a continuum of spheres from one -- Paradoxes in low dimensions -- Squaring the circle -- The semigroup of equidecomposability types -- Transition -- Measures in groups -- Applications of amenability -- Growth conditions in groups and supramenability -- The role of the axiom of choice.

Summary: The Banach-Tarski Paradox is the most surprising result in mathematics. This new edition of a classic book offers a comprehensive, accessible presentation, with many related results, especially connections to non-Euclidean geometry, to squaring the circle, and even to some art by Escher. This material is suited to projects for undergraduates or masters students

Tags from this library: No tags from this library for this title. Log in to add tags.

Average rating: 0.0 (0 votes)

Holdings ( 1 )
Title notes ( 2 )
Comments ( 0 )

Holdings
Item type	Current library	Call number	Status	Date due	Barcode	Item holds
Books	SNU LIBRARY	511.322 TOM (Browse shelf(Opens below))	Not For Loan		28587

Total holds: 0

The Hausdorff paradox --
The Banach-Tarski paradox : duplicating spheres and balls --
Hyperbolic paradoxes --
Locally commutative actions : minimizing the number of pieces in a paradoxical decomposition --
Higher dimensions --
Free groups of large rank : getting a continuum of spheres from one --
Paradoxes in low dimensions --
Squaring the circle --
The semigroup of equidecomposability types --
Transition --
Measures in groups --
Applications of amenability --
Growth conditions in groups and supramenability --
The role of the axiom of choice.

The Banach-Tarski Paradox is the most surprising result in mathematics. This new edition of a classic book offers a comprehensive, accessible presentation, with many related results, especially connections to non-Euclidean geometry, to squaring the circle, and even to some art by Escher. This material is suited to projects for undergraduates or masters students

There are no comments on this title.

to post a comment.