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Books > Science & Mathematics > Mathematics > Algebra
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Geometry of Continued Fractions (Hardcover, 2013 ed.)
Loot Price: R3,241
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Geometry of Continued Fractions (Hardcover, 2013 ed.)
Series: Algorithms and Computation in Mathematics, 26
Expected to ship within 12 - 19 working days
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Traditionally a subject of number theory, continued fractions
appear in dynamical systems, algebraic geometry, topology, and even
celestial mechanics. The rise of computational geometry has
resulted in renewed interest in multidimensional generalizations of
continued fractions. Numerous classical theorems have been extended
to the multidimensional case, casting light on phenomena in diverse
areas of mathematics. This book introduces a new geometric vision
of continued fractions. It covers several applications to questions
related to such areas as Diophantine approximation, algebraic
number theory, and toric geometry. The reader will find an overview
of current progress in the geometric theory of multidimensional
continued fractions accompanied by currently open problems.
Whenever possible, we illustrate geometric constructions with
figures and examples. Each chapter has exercises useful for
undergraduate or graduate courses.
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