Fractal Geometry: Mathematical Foundations and Applications - Softcover

Falconer, Kenneth J.

Softcover

ISBN 10: 0471967777 ISBN 13: 9780471967774

Publisher: John Wiley & Sons Ltd, 1997

Synopsis

This paperback edition of Fractal Geometry provides an accessible treatment of the mathematics of fractals and their dimensions. It is aimed at those wanting to use fractals in their own areas of mathematics or science. The first part of the book covers the general theory of fractals and their geometry. Results are stated precisely, but technical measure theoretic ideas are avoided and difficult proofs are sketched. The second part contains a wide variety of examples and applications in mathematics and physics. The book contains numerous diagrams and illustrative examples. Each chapter ends with self-study exercises and suggestions for further reading. The author provides an intuitive as well as a mathematical insight into the subject.

About this title

Review

“The new edition describes recent developments, bearing in mind the rapid spread of the subject, in particular multifractal theory.” (Mathematika, No.50, 2005)

From the Back Cover

Since its original publication in 1990, Kenneth Falconer′s Fractal Geometry: Mathematical Foundations and Applications has become a seminal text on the mathematics of fractals. It introduces the general mathematical theory and applications of fractals in a way that is accessible to students from a wide range of disciplines. This new edition has been extensively revised and updated. It features much new material, many additional exercises, notes and references, and an extended bibliography that reflects the development of the subject since the first edition. ∗ Provides a comprehensive and accessible introduction to the mathematical theory and applications of fractals. ∗ Each topic is carefully explained and illustrated by examples and figures. ∗ Includes all necessary mathematical background material. ∗ Includes notes and references to enable the reader to pursue individual topics. ∗ Features a wide selection of exercises, enabling the reader to develop their understanding of the theory. ∗ Supported by a Web site featuring solutions to exercises, and additional material for students and lecturers. Fractal Geometry: Mathematical Foundations and Applications is aimed at undergraduate and graduate students studying courses in fractal geometry. The book also provides an excellent source of reference for researchers who encounter fractals in mathematics, physics, engineering, and the applied sciences. Also by Kenneth Falconer and available from Wiley: Techniques in Fractal Geometry ISBN 0–471–95724–0

Edition details

• Publisher: John Wiley & Sons Ltd
• Publication date: 1997
• Language: English
• ISBN 10: 0471967777
• ISBN 13: 9780471967774
• Binding: Paperback
• Number of pages: 312