Items related to Geometry of Continued Fractions (Algorithms and Computation...
Synopsis
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...
About the Author
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).
Review
“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 für Mathematik, Vo. 180, 2016)
“Karpenkov ... begins with a distinctive treatment of continued fraction foundations emphasizing lattice geometry. One-dimensional continued fractions connect to two-dimensional lattices--very...
"About this title" may belong to another edition of this title.
- PublisherSpringer
- Publication date2013
- ISBN 10 3642393675
- ISBN 13 9783642393679
- BindingHardcover
- LanguageEnglish
- Number of pages422
Other Popular Editions of the Same Title
Search results for Geometry of Continued Fractions (Algorithms and Computation...
Stock Image
Geometry of Continued Fractions (Algorithms and Computation in Mathematics, 26)
Seller: Lucky's Textbooks, Dallas, TX, U.S.A.
Seller rating 5 out of 5 stars
Condition: New. Seller Inventory # ABLIING23Mar3113020225867
Quantity: Over 20 available
Stock Image
Geometry of Continued Fractions (Algorithms and Computation in Mathematics, 26)
Seller: Ria Christie Collections, Uxbridge, United Kingdom
Seller rating 5 out of 5 stars
Condition: New. In. Seller Inventory # ria9783642393679_new
Quantity: Over 20 available
Stock Image
Geometry of Continued Fractions (Algorithms and Computation in Mathematics, 26)
Seller: California Books, Miami, FL, U.S.A.
Seller rating 5 out of 5 stars
Condition: New. Seller Inventory # I-9783642393679
Quantity: Over 20 available
Seller Image
Geometry of Continued Fractions
Published by
Springer Berlin Heidelberg Aug 2013, 2013
ISBN 10: 3642393675
ISBN 13: 9783642393679
New
Hardcover
Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Germany
Seller rating 5 out of 5 stars
Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 424 pp. Englisch. Seller Inventory # 9783642393679
Quantity: 2 available
Seller Image
Geometry of Continued Fractions
Published by
Springer Berlin Heidelberg, 2013
ISBN 10: 3642393675
ISBN 13: 9783642393679
New
Hardcover
Seller: AHA-BUCH GmbH, Einbeck, Germany
Seller rating 5 out of 5 stars
Buch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Seller Inventory # 9783642393679
Quantity: 1 available
Seller Image
Geometry of Continued Fractions
Published by
Springer Berlin Heidelberg, 2013
ISBN 10: 3642393675
ISBN 13: 9783642393679
New
Hardcover
Seller: moluna, Greven, Germany
Seller rating 5 out of 5 stars
Condition: New. Seller Inventory # 5059286
Quantity: Over 20 available
Stock Image
Geometry of Continued Fractions
Seller: Books Puddle, New York, NY, U.S.A.
Seller rating 4 out of 5 stars
Condition: New. pp. 424. Seller Inventory # 2697560942
Quantity: 4 available
Stock Image
Geometry of Continued Fractions
Print on DemandSeller: Majestic Books, Hounslow, United Kingdom
Seller rating 5 out of 5 stars
Condition: New. Print on Demand pp. 424 52:B&W 6.14 x 9.21in or 234 x 156mm (Royal 8vo) Case Laminate on White w/Gloss Lam. Seller Inventory # 94836401
Quantity: 4 available
Stock Image
Geometry of Continued Fractions
Print on DemandSeller: Biblios, Frankfurt am main, HESSE, Germany
Seller rating 5 out of 5 stars
Condition: New. PRINT ON DEMAND pp. 424. Seller Inventory # 1897560932
Quantity: 4 available
Stock Image
Geometry of Continued Fractions
Seller: Revaluation Books, Exeter, United Kingdom
Seller rating 5 out of 5 stars
Hardcover. Condition: Brand New. 2013 edition. 405 pages. French language. 9.50x6.50x1.25 inches. In Stock. Seller Inventory # x-3642393675
Quantity: 2 available