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Books > Science & Mathematics > Mathematics > Mathematical foundations > Set theory
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The Banach-Tarski Paradox (Paperback, 2nd Revised edition)
Loot Price: R1,217
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The Banach-Tarski Paradox (Paperback, 2nd Revised edition)
Series: Encyclopedia of Mathematics and its Applications
Expected to ship within 12 - 17 working days
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The Banach-Tarski Paradox is a most striking mathematical
construction: it asserts that a solid ball can be taken apart into
finitely many pieces that can be rearranged using rigid motions to
form a ball twice as large. This volume explores the consequences
of the paradox for measure theory and its connections with group
theory, geometry, set theory, and logic. This new edition of a
classic book unifies contemporary research on the paradox. It has
been updated with many new proofs and results, and discussions of
the many problems that remain unsolved. Among the new results
presented are several unusual paradoxes in the hyperbolic plane,
one of which involves the shapes of Escher's famous 'Angel and
Devils' woodcut. A new chapter is devoted to a complete proof of
the remarkable result that the circle can be squared using set
theory, a problem that had been open for over sixty years.
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