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.
Auflage
Sprache
Verlagsort
Verlagsgruppe
Zielgruppe
Für höhere Schule und Studium
Für Beruf und Forschung
Editions-Typ
Illustrationen
Maße
Höhe: 22.6 cm
Breite: 15.3 cm
Gewicht
ISBN-13
978-0-471-96777-4 (9780471967774)
Schweitzer Klassifikation
Part I Foundations: mathematical background; Hausdorff measure and dimension; alternative definitions of dimension; techniques for calculating dimensions; local structure of fractals; projections of fractals; products of fractals; intersections of fractals. Part II Applications and examples: fractals defined by transformations; examples from number theory; graphs of functions; examples from pure mathematics; dynamical systems; iteration of complex functions-Julia sets; random fractals; Brownian motion and Brownian surfaces; multifractal measures; physical applications.
