A Tale of Two Fractals

A Tale of Two Fractals

By: A. A. Kirillov (author)Hardback

1 - 2 weeks availability

£24.29 RRP £26.99  You save £2.70 (10%) & FREE Saver Delivery on orders over £25

Description

Since Benoit Mandelbrot's pioneering work in the late 1970s, scores of research articles and books have been published on the topic of fractals. Despite the volume of literature in the field, the general level of theoretical understanding has remained low; most work is aimed either at too mainstream an audience to achieve any depth or at too specialized a community to achieve widespread use. Written by celebrated mathematician and educator A.A. Kirillov, A Tale of Two Fractals is intended to help bridge this gap, providing an original treatment of fractals that is at once accessible to beginners and sufficiently rigorous for serious mathematicians. The work is designed to give young, non-specialist mathematicians a solid foundation in the theory of fractals, and, in the process, to equip them with exposure to a variety of geometric, analytical, and algebraic tools with applications across other areas.

Create a review

Contents

Introduction.- Part 1. The Sierpinski Gasket.- Definition and General Properties.- The Laplace Operator on the Sierpinski Gasket.- Harmonic Functions on the Sierpinski Gasket.- Part 2. The Apollonian Gasket.- Introduction.- Circles and Disks on Spheres.- Definition of the Apollonian Gasket.- Arithmetic Properties of Apollonian Gaskets.- Geometric and Group-Theoretic Approach.- Many-Dimensional Apollonian Gaskets.- Bibliography.

Product Details

  • publication date: 23/04/2013
  • ISBN13: 9780817683818
  • Format: Hardback
  • Number Of Pages: 151
  • ID: 9780817683818
  • weight: 397
  • ISBN10: 081768381X

Delivery Information

  • Saver Delivery: Yes
  • 1st Class Delivery: Yes
  • Courier Delivery: Yes
  • Store Delivery: Yes

Prices are for internet purchases only. Prices and availability in WHSmith Stores may vary significantly

Close