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Geometry of Continued Fractions (Algorithms and Computation in Mathematics)
Oleg Karpenkov
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Description for Geometry of Continued Fractions (Algorithms and Computation in Mathematics)
Hardcover. Geometry of Continued Fractions Series: Algorithms and Computation in Mathematics. Num Pages: 405 pages, biography. BIC Classification: PBF; PBH; PBKJ; PBMW. Category: (P) Professional & Vocational. Dimension: 241 x 163 x 28. Weight in Grams: 796.
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 ... Read more
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 ... Read more
Product Details
Publisher
Springer
Format
Hardback
Publication date
2013
Series
Algorithms and Computation in Mathematics
Condition
New
Weight
796g
Number of Pages
405
Place of Publication
Berlin, Germany
ISBN
9783642393679
SKU
V9783642393679
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
About Oleg Karpenkov
For different subjects contributed to this book, the author was awarded a Fellowship of the City of Paris (France), a Lise Meitner Fellowship (Austria) and the Moscow Mathematical Society Prize (Russia).
Reviews for Geometry of Continued Fractions (Algorithms and Computation in Mathematics)
Throughout the book many theorems are accompanied by constructive algorithms. Due to its rich content and connections to several parts of mathematics this volume will be of interest to graduate students and researchers not only in number theory and discrete geometry. (C. Baxa, Monatshefte fur Mathematik, Vo. 180, 2016) Karpenkov ... begins with a distinctive ... Read more