Techniques in Fractal Geometry
| Author | : | |
| Rating | : | 4.15 (532 Votes) |
| Asin | : | 0471957240 |
| Format Type | : | paperback |
| Number of Pages | : | 274 Pages |
| Publish Date | : | 2016-08-11 |
| Language | : | English |
DESCRIPTION:
From the Publisher This book addressees a variety of techniques and applications in fractal geometry. Each chapter ends with brief notes on the development and current state of the subject. Provides a clear guide to applications and recent trends in fractal geometry. It examines such topics as implicit methods and the theory of dimensions of measures, the thermodynamic formalism, the tangent of space method and the ergodic theorem. There are numerous diagrams and illustrative examples.
He has written three other books and many research papers, largely on fractals, geometric measure theory and convexity. . About the author Kenneth Falconer is Professor of Pure Mathematics at the University of St Andrews. He was an undergraduate, research student and Research Fellow at Corpus Christi College, Cambridg
"Maybe this book is advanced version of "Fractal Geometry"" according to Takayuki Tatekawa. I had read "Fractal Geometry" in last year. Then I purchase this book. It seems advanced version of "Fractal Geometry". In this book, some applications of fractal for science and engineering. For example, thermodynamic formalism, ergodic theorem, multifractal analysis, differential equations, and so on. . Dimension of fractal objects A suitable book to remove any doubt about calculation of dimension of fractal objects. I enjoyed the chapter about ergodic theorem.
This book is mathematically precise, but aims to give an intuitive feel for the subject, with underlying concepts described in a clear and accessible manner. The author's clear style and up-to-date coverage of the subject make this book essential reading for all those who with to develop their understanding of fractal geometry.. Much of the material presented in this book has come to the fore in recent years. Following on from the success of Fractal Geometry: Mathematical Foundations and Applications, this new sequel presents a variety of techniques in current use for studying the mathematics of fractals. Each chapter ends with brief notes on the development and current state of the subject. The reader is assumed to be familiar with material from Fractal Geometry, but the main ideas and notation are reviewed in the first two chapters. Exercises are included to reinforce the concepts. In addition to general theory, many examples and applications are described, in areas such as differential equations and harmonic analysis. This includes methods for studying dimensions and other parameters of fractal sets and measures, as well as more sophisticated techniques such as thermodynamic formalism and tangent measures