Logo - springer
Slogan - springer

Mathematics - Algebra | Geometry of Continued Fractions

Geometry of Continued Fractions

Karpenkov, Oleg

2013, XVII, 405 p. 114 illus.

Available Formats:
eBook
Information

Springer eBooks may be purchased by end-customers only and are sold without copy protection (DRM free). Instead, all eBooks include personalized watermarks. This means you can read the Springer eBooks across numerous devices such as Laptops, eReaders, and tablets.

You can pay for Springer eBooks with Visa, Mastercard, American Express or Paypal.

After the purchase you can directly download the eBook file or read it online in our Springer eBook Reader. Furthermore your eBook will be stored in your MySpringer account. So you can always re-download your eBooks.

 
$59.99

(net) price for USA

ISBN 978-3-642-39368-6

digitally watermarked, no DRM

Included Format: PDF and EPUB

download immediately after purchase


learn more about Springer eBooks

add to marked items

Hardcover
Information

Hardcover version

You can pay for Springer Books with Visa, Mastercard, American Express or Paypal.

Standard shipping is free of charge for individual customers.

 
$79.99

(net) price for USA

ISBN 978-3-642-39367-9

free shipping for individuals worldwide

usually dispatched within 3 to 5 business days


add to marked items

  • New approach to the geometry of numbers, very visual and algorithmic
  • Numerous illustrations and examples
  • Problems for each chapter

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.

Content Level » Graduate

Keywords » algebraic irrationalities - continued fractions - generalized continued fractions - integer trigonometry - units of orders

Related subjects » Algebra - Analysis - Geometry & Topology - Number Theory and Discrete Mathematics

Table of contents / Preface / Sample pages 

Popular Content within this publication 

 

Articles

Read this Book on Springerlink

Services for this book

New Book Alert

Get alerted on new Springer publications in the subject area of Algebra.