- Tapa dura: 366 páginas
- Editor: John Wiley & Sons Ltd; Edición: 2nd Revised edition (19 de septiembre de 2003)
- Idioma: Inglés
- ISBN-10: 0470848618
- ISBN-13: 978-0470848616
- Valoración media de los clientes: 1 opinión de cliente
- Ver el Índice completo
Fractal Geometry: Mathematical Foundations and Applications (Inglés) Tapa dura – 19 sep 2003
Hay una nueva edición de este producto:
Descripción del producto
"!(the second edition) features new material, additional exercises, notes and references and an extended bibliography!" (Zentralblatt Fur Didatik der Mathematik)
Reseña del editor
Since its original publication in 1990, Kenneth Falconera 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. aeo Provides a comprehensive and accessible introduction to the mathematical theory and applications of fractals. aeo Each topic is carefully explained and illustrated by examples and figures. aeo Includes all necessary mathematical background material. aeo Includes notes and references to enable the reader to pursue individual topics. aeo Features a wide selection of exercises, enabling the reader to develop their understanding of the theory. aeo 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 Please click here to download solutions to exercises found within this title: http://www.wileyeurope.com/fractalVer Descripción del producto
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exciting mathematical history. This very important book presents
the subject in a way that it can be taught to students, and it starts with the basics, systematically, step by step, building up the material. Or it can be used for selfstudy! It has great exercises too! In view of the many applications to geometric analysis, to PDE, and to statistics, it is likely that fractal geometry will soon be a standard math course taught in many (more) math departments. By now it is widely recognized that the selfsimilarity aspects of the wavelet algorithms are key to their sucess. The book came out in 1990, and the author has an equally attractive book on the subject from 1985[The geometry of fractal sets] with a slightly more potential theoretic bent.
It begins introducing basic topological concepts and then proceeds to develop the theory for several possible definitions of fractal dimension, showing the relations between them. Then it explores deeply the local geometry of different kinds of fractal objects, and studies some other geometrical situations, like the pojection of fractals (ever thought of a DIGITAL sundial? Here it is described!).
The book also includes a lot of applications to other areas of mathematics and physics, a great amount of graphics, and much more.
The text is suitable from third year undergraduate school and on. It is a larger but lighter version of "The Geometry of Fractal Sets".
Excellent for understanding the geometrical properties of fractals.