TY  - BOOK
AU  - Kirillov,A A.
TI  - Tale of two fractals
SN  - 9780817683818
U1  - 514.742 23
PY  - 2013///
CY  - New York
PB  - Springer
KW  - Fractals.
N1  - Includes bibliographical references and index; 1. Definitions and general properties --
 2. The Laplace operator on the Sierpiński gasket --
3. Harmonic functions on the Sierpiński gasket --
4. Circles and disks on spheres --
5. Definition of the Apollonian gasket --
6. Arithmetic properties of Apollonian gaskets --
7. Geometric and group-theoretic approach --
8. Multidimensional Apollonian gaskets--
Bibliography--
Index
N2  - Written by the celebrated mathematician and educator A.A. Kirillov, this book offers an original treatment of fractals that is accessible to beginners and sufficiently rigorous for serious mathematicians. Offers a solid foundation in the theory of fractals.
ER  -