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 ...
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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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New. Trade paperback (US). Contains: Line drawings, black & white, Line drawings, color. Encyclopedia of Mathematics and its Applications . 47 b/w illus. 6 colour illus. Intended for college/higher education audience.
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New. Trade paperback (US). Contains: Line drawings, black & white, Line drawings, color. Encyclopedia of Mathematics and its Applications . 47 b/w illus. 6 colour illus. Intended for college/higher education audience.
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New. Trade paperback (US). Contains: Line drawings, black & white, Line drawings, color. Encyclopedia of Mathematics and its Applications . 47 b/w illus. 6 colour illus. Intended for college/higher education audience. In Stock. 100% Money Back Guarantee. Brand New, Perfect Condition, allow 4-14 business days for standard shipping. To Alaska, Hawaii, U.S. protectorate, P.O. box, and APO/FPO addresses allow 4-28 business days for Standard shipping. No expedited shipping. All orders placed with expedited shipping will be cancelled. Over 3, 000, 000 happy customers.
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New. Trade paperback (US). Contains: Line drawings, black & white, Line drawings, color. Encyclopedia of Mathematics and its Applications . 47 b/w illus. 6 colour illus. Intended for college/higher education audience. In Stock. 100% Money Back Guarantee. Brand New, Perfect Condition, allow 4-14 business days for standard shipping. To Alaska, Hawaii, U.S. protectorate, P.O. box, and APO/FPO addresses allow 4-28 business days for Standard shipping. No expedited shipping. All orders placed with expedited shipping will be cancelled. Over 3, 000, 000 happy customers.
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New. Print on demand Contains: Line drawings, black & white, Line drawings, color. Encyclopedia of Mathematics and its Applications . 47 b/w illus. 6 colour illus. Intended for college/higher education audience.
Choose your shipping method in Checkout. Costs may vary based on destination.
Seller's Description:
New. Contains: Line drawings, black & white, Line drawings, color. Encyclopedia of Mathematics and its Applications . 47 b/w illus. 6 colour illus. Intended for college/higher education audience. In Stock. 100% Money Back Guarantee. Brand New, Perfect Condition, allow 4-14 business days for standard shipping. To Alaska, Hawaii, U.S. protectorate, P.O. box, and APO/FPO addresses allow 4-28 business days for Standard shipping. No expedited shipping. All orders placed with expedited shipping will be cancelled. Over 3, 000, 000 happy customers.
