Techniques in Fractal Geometry

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9780471957249: Techniques in Fractal Geometry
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Following on from the success of Fractal Geometry: MathematicalFoundations and Applications, this new sequel presents a variety oftechniques in current use for studying the mathematics offractals.

Much of the material presented in this book has come to the fore inrecent years. This includes methods for studying dimensions andother parameters of fractal sets and measures, as well as moresophisticated techniques such as thermodynamic formalism andtangent measures. In addition to general theory, many examples andapplications are described, in areas such as differential equationsand harmonic analysis.

This book is mathematically precise, but aims to give an intuitivefeel for the subject, with underlying concepts described in a clearand accessible manner. The reader is assumed to be familiar withmaterial from Fractal Geometry, but the main ideas and notation arereviewed in the first two chapters. Each chapter ends with briefnotes on the development and current state of the subject.Exercises are included to reinforce the concepts.

The author's clear style and up-to-date coverage of the subjectmake this book essential reading for all those who with to developtheir understanding of fractal geometry.

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This book addressees a variety of techniques and applications 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. 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. There are numerous diagrams and illustrative examples.

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Techniques in Fractal Geometry Kenneth Falconer, University of St Andrews, UK 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. Much of the material presented in this book has come to the fore in recent years. This includes methods for studying dimensions and other parameters of fractal sets and measures, as well as more sophisticated techniques such as the thermodynamic formalism and tangent measures. In addition to general theory, many examples and applications are described, in areas such as differential equations and harmonic analysis. The 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 reader is assumed to be familiar with material from Fractal Geometry, but the main ideas and notation are reviewed in the first two chapters. Each chapter ends with brief notes on the development and current state of the subject. Exercises are included to reinforce the concepts. The author's clear style and the up-to-date coverage of the subject make this book essential reading for all those who wish to develop their understanding of fractal geometry. Also available: Fractal Geometry: Mathematical Foundations and Applications Hardback ISBN 0-471-92287-0 Paperback ISBN 0-471-96777-7

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Book Description John Wiley and Sons Ltd, United Kingdom, 1997. Hardback. Condition: New. 1. Auflage. Language: English. Brand new Book. 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. Much of the material presented in this book has come to the fore in recent years. 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. In addition to general theory, many examples and applications are described, in areas such as differential equations and harmonic analysis. 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 reader is assumed to be familiar with material from Fractal Geometry, but the main ideas and notation are reviewed in the first two chapters. Each chapter ends with brief notes on the development and current state of the subject. Exercises are included to reinforce the concepts.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. Seller Inventory # AAH9780471957249

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Book Description John Wiley and Sons Ltd, United Kingdom, 1997. Hardback. Condition: New. 1. Auflage. Language: English . Brand New Book. 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. Much of the material presented in this book has come to the fore in recent years. 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. In addition to general theory, many examples and applications are described, in areas such as differential equations and harmonic analysis. 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 reader is assumed to be familiar with material from Fractal Geometry, but the main ideas and notation are reviewed in the first two chapters. Each chapter ends with brief notes on the development and current state of the subject. Exercises are included to reinforce the concepts. 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. Seller Inventory # AAH9780471957249

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