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Falconer - Fractals: A Very Short Introduction

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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...

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Fractals: A Very Short Introduction

Kenneth Falconer

FRACTALS

A Very Short Introduction

Fractals A Very Short Introduction - image 1

Very Short Introductions available now:

ADVERTISING Winston Fletcher

AFRICAN HISTORY John Parker and Richard Rathbone

AGNOSTICISM Robin Le Poidevin

AMERICAN POLITICAL PARTIES AND ELECTIONS L. Sandy Maisel

THE AMERICAN PRESIDENCY Charles O. Jones

ANARCHISM Colin Ward

ANCIENT EGYPT Ian Shaw

ANCIENT PHILOSOPHY Julia Annas

ANCIENT WARFARE Harry Sidebottom

ANGLICANISM Mark Chapman

THE ANGLO-SAXON AGE John Blair

ANIMAL RIGHTS David DeGrazia

ANTISEMITISM Steven Beller

THE APOCRYPHAL GOSPELS Paul Foster

ARCHAEOLOGY Paul Bahn

ARCHITECTURE Andrew Ballantyne

ARISTOCRACY William Doyle

ARISTOTLE Jonathan Barnes

ART HISTORY Dana Arnold

ART THEORY Cynthia Freeland

ATHEISM Julian Baggini

AUGUSTINE Henry Chadwick

AUTISM Uta Frith

BARTHES Jonathan Culler

BESTSELLERS John Sutherland

THE BIBLE John Riches

BIBLICAL ARCHEOLOGY Eric H. Cline

BIOGRAPHY Hermione Lee

THE BOOK OF MORMON Terryl Givens

THE BRAIN Michael O'Shea

BRITISH POLITICS Anthony Wright

BUDDHA Michael Carrithers

BUDDHISM Damien Keown

BUDDHIST ETHICS Damien Keown

CAPITALISM James Fulcher

CATHOLICISM Gerald O'Collins

THE CELTS Barry Cunliffe

CHAOS Leonard Smith

CHOICE THEORY Michael Allingham

CHRISTIAN ART Beth Williamson

CHRISTIAN ETHICS D. Stephen Long

CHRISTIANITY Linda Woodhead

CITIZENSHIP Richard Bellamy

CLASSICAL MYTHOLOGY Helen Morales

CLASSICS Mary Beard and John Henderson

CLAUSEWITZ Michael Howard

THE COLD WAR Robert McMahon

COMMUNISM Leslie Holmes

CONSCIOUSNESS Susan Blackmore

CONTEMPORARY ART Julian Stallabrass

CONTINENTAL PHILOSOPHY Simon Critchley

COSMOLOGY Peter Coles

THE CRUSADES Christopher Tyerman

CRYPTOGRAPHY Fred Piper and Sean Murphy

DADA AND SURREALISM David Hopkins

DARWIN Jonathan Howard

THE DEAD SEA SCROLLS Timothy Lim

DEMOCRACY Bernard Crick

DESCARTES Tom Sorell

DESERTS Nick Middleton

DESIGN John Heskett

DINOSAURS David Norman

DIPLOMACY Joseph M. Siracusa

DOCUMENTARY FILM Patricia Aufderheide

DREAMING J. Allan Hobson

DRUGS Leslie Iversen

DRUIDS Barry Cunliffe

THE EARTH Martin Redfern

ECONOMICS Partha Dasgupta

EGYPTIAN MYTH Geraldine Pinch

EIGHTEENTH-CENTURY BRITAIN Paul Langford

THE ELEMENTS Philip Ball

EMOTION Dylan Evans

EMPIRE Stephen Howe

ENGELS Terrell Carver

ENGLISH LITERATURE Jonathan Bate

EPIDEMIOLOGY Roldolfo Saracci

ETHICS Simon Blackburn

THE EUROPEAN UNION John Pinder and Simon Usherwood

EVOLUTION Brian and Deborah Charlesworth

EXISTENTIALISM Thomas Flynn

FASCISM Kevin Passmore

FASHION Rebecca Arnold

FEMINISM Margaret Walters

FILM MUSIC Kathryn Kalinak

THE FIRST WORLD WAR Michael Howard

FORENSIC PSYCHOLOGY David Canter

FORENSIC SCIENCE Jim Fraser

FOSSILS Keith Thomson

FOUCAULT Gary Gutting

FREE SPEECH Nigel Warburton

FREE WILL Thomas Pink

FRENCH LITERATURE John D. Lyons

THE FRENCH REVOLUTION William Doyle

FREUD Anthony Storr

FUNDAMENTALISM Malise Ruthven

GALAXIES John Gribbin

GALILEO Stillman Drake

GAME THEORY Ken Binmore

GANDHI Bhikhu Parekh

GEOGRAPHY John Matthews and David Herbert

GEOPOLITICS Klaus Dodds

GERMAN LITERATURE Nicholas Boyle

GERMAN PHILOSOPHY Andrew Bowie

GLOBAL CATASTROPHES Bill McGuire

GLOBAL WARMING Mark Maslin

GLOBALIZATION Manfred Steger

THE GREAT DEPRESSION AND THE NEW DEAL Eric Rauchway

HABERMAS James Gordon Finlayson

HEGEL Peter Singer

HEIDEGGER Michael Inwood

HIEROGLYPHS Penelope Wilson

HINDUISM Kim Knott

HISTORY John H. Arnold

THE HISTORY OF ASTRONOMY Michael Hoskin

THE HISTORY OF LIFE Michael Benton

THE HISTORY OF MEDICINE William Bynum

THE HISTORY OF TIME Leofranc Holford-Strevens

HIV/AIDS Alan Whiteside

HOBBES Richard Tuck

HUMAN EVOLUTION Bernard Wood

HUMAN RIGHTS Andrew Clapham

HUME A. J. Ayer

IDEOLOGY Michael Freeden

INDIAN PHILOSOPHY Sue Hamilton

INFORMATION Luciano Floridi

INNOVATION Mark Dodgson and David Gann

INTELLIGENCE Ian J. Deary

INTERNATIONAL MIGRATION Khalid Koser

INTERNATIONAL RELATIONS Paul Wilkinson

ISLAM Malise Ruthven

ISLAMIC HISTORY Adam Silverstein

JOURNALISM Ian Hargreaves

JUDAISM Norman Solomon

JUNG Anthony Stevens

KABBALAH Joseph Dan

KAFKA Ritchie Robertson

KANT Roger Scruton

KEYNES Robert Skidelsky

KIERKEGAARD Patrick Gardiner

THE KORAN Michael Cook

LANDSCAPES AND CEOMORPHOLOGY Andrew Goudie and Heather Viles

LAW Raymond Wacks

THE LAWS OF THERMODYNAMICS Peter Atkins

LEADERSHIP Keth Grint

LINCOLN Allen C. Guelzo

LINGUISTICS Peter Matthews

LITERARY THEORY Jonathan Culler

LOCKE John Dunn

LOGIC Graham Priest

MACHIAVELLI Quentin Skinner

MARTIN LUTHER Scott H. Hendrix

THE MARQUIS DE SADE John Phillips

MARX Peter Singer

MATHEMATICS Timothy Gowers

THE MEANING OF LIFE Terry Eagleton

MEDICAL ETHICS Tony Hope

MEDIEVAL BRITAIN John Gillingham and Ralph A. Griffiths

MEMORY Jonathan K. Foster

MICHAEL FARADAY Frank A. J. L. James

MODERN ART David Cottington

MODERN CHINA Rana Mitter

MODERN IRELAND Senia Paseta

MODERN JAPAN Christopher Goto-Jones

MODERNISM Christopher Butler

MOLECULES Philip Ball

MORMONISM Richard Lyman Bushman

MUSIC Nicholas Cook

MYTH Robert A. Segal

NATIONALISM Steven Grosby

NELSON MANDELA Elleke Boehmer

NEOLIBERALISM Manfred Steger and Ravi Roy

THE NEW TESTAMENT Luke Timothy Johnson

THE NEW TESTAMENT AS LITERATURE Kyle Keefer

NEWTON Robert Iliffe

NIETZSCHE Michael Tanner

NINETEENTH-CENTURY BRITAIN Christopher Harvie and H. C. G. Matthew

THE NORMAN CONQUEST George Garnett

NORTHERN IRELAND Marc Mulholland

NOTHING Frank Close

NUCLEAR WEAPONS Joseph M. Siracusa

THE OLD TESTAMENT Michael D. Coogan

PARTICLE PHYSICS Frank Close

PAUL E. P. Sanders

PENTECOSTALISM William K. Kay

PHILOSOPHY Edward Craig

PHILOSOPHY OF LAW Raymond Wacks

PHILOSOPHY OF SCIENCE Samir Okasha

PHOTOGRAPHY Steve Edwards

PLANETS David A. Rothery

PLATO Julia Annas

POLITICAL PHILOSOPHY David Miller

POLITICS Kenneth Minogue

POSTCOLONIALISM Robert Young

POSTMODERNISM Christopher Butler

POSTSTRUCTURALISM Catherine Belsey

PREHISTORY Chris Gosden

PRESOCRATIC PHILOSOPHY Catherine Osborne

PRIVACY Raymond Wacks

PROGRESSIVISM Walter Nugent

PSYCHIATRY Tom Burns

PSYCHOLOGY Gillian Butler and Freda McManus

PURITANISM Francis J. Bremer

THE QUAKERS Pink Dandelion

QUANTUM THEORY John Polkinghorne

RACISM Ali Rattansi

THE REAGAN REVOLUTION Gil Troy

THE REFORMATION Peter Marshall

RELATIVITY Russell Stannard

RELIGION IN AMERICA Timothy Beal

THE RENAISSANCE Jerry Brotton

RENAISSANCE ART Geraldine A. Johnson

ROMAN BRITAIN Peter Salway

THE ROMAN EMPIRE Christopher Kelly

ROMANTICISM Michael Ferber

ROUSSEAU Robert Wokler

RUSSELL A. C. Grayling

RUSSIAN LITERATURE Catriona Kelly

THE RUSSIAN REVOLUTION S. A. Smith

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