Many are familiar with the beauty and ubiquity of fractal forms within nature. Unlike the study of smooth forms such as spheres, fractal geometry describes more familiar shapes and patterns, such as the complex contours of coastlines, the outlines of clouds, and the branching of trees.
In this Very Short Introduction, Kenneth Falconer looks at the roots of the 'fractal revolution' that occurred in mathematics in the 20th century, presents the 'new geometry' of fractals, explains the basic concepts, and explores the wide range of applications in science, and in aspects of economics.
This is essential introductory reading for students of mathematics and science, and those interested in popular science and mathematics.
ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.
Rezensionen / Stimmen
Fractals: A Very Short Introduction is an obvious starting point for lay readers interested in fractals. It presents the key ideas and explains their context and significance, while introducing and using some very basic mathematics. * Danny Yee's Book Reviews * a most enjoyable, 'short read' * Institute of Mathematics * [A] very well-written introduction to fractals for non-specialists ... Highly recommended. * CHOICE *
Reihe
Sprache
Verlagsort
Zielgruppe
Für höhere Schule und Studium
Ideal for students of mathematics and science at both A-level and undergraduate level, as well as general readers interested in popular science and mathematics.
Produkt-Hinweis
Broschur/Paperback
Klebebindung
Illustrationen
44 black and white illustrations
Maße
Höhe: 172 mm
Breite: 111 mm
Dicke: 12 mm
Gewicht
ISBN-13
978-0-19-967598-2 (9780199675982)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Klassifikation
Kenneth Falconer is Professor of Pure Mathematics at St Andrews University. He has published many papers on fractal geometry, and three books on the topic, including Fractal Geometry: Mathematical Foundations and Applications (Wiley-Blackwell).
Autor*in
Professor of Pure Mathematics, University of St Andrews
Preface ; 1. The fractal concept ; 2. Self-similarity ; 3. Fractal dimension ; 4. Julia sets and the Mandelbrot set ; 5. Random walks and Brownian motion ; 6. Fractals in the real world ; 7. A little history ; Further reading
