Fractals A Very Short Introduction

Author: K. J. Falconer
Publisher: Oxford University Press
ISBN: 9780199675982
Release Date: 2013-09-26
Genre: Mathematics

An essential discussion of the popular science and mathematics behind fractals reveals how fractal shapes can be found everywhere in nature from clouds to coastlines, explaining how basic concepts in fractal geometry produced a revolution in mathematical understandings of patterns in the 20th century. Original.


Author: Timothy Gowers
ISBN: 3150187060
Release Date: 2011

Infinity a Very Short Introduction

Author: Ian Stewart
Publisher: Oxford University Press
ISBN: 9780198755234
Release Date: 2017-03-23
Genre: Mathematics

Infinity is an intriguing topic, with connections to religion, philosophy, metaphysics, logic, and physics as well as mathematics. Its history goes back to ancient times, with especially important contributions from Euclid, Aristotle, Eudoxus, and Archimedes. The infinitely large (infinite) isintimately related to the infinitely small (infinitesimal). Cosmologists consider sweeping questions about whether space and time are infinite. Philosophers and mathematicians ranging from Zeno to Russell have posed numerous paradoxes about infinity and infinitesimals. Many vital areas ofmathematics rest upon some version of infinity. The most obvious, and the first context in which major new techniques depended on formulating infinite processes, is calculus. But there are many others, for example Fourier analysis and fractals.In this Very Short Introduction, Ian Stewart discusses infinity in mathematics while also drawing in the various other aspects of infinity and explaining some of the major problems and insights arising from this concept. He argues that working with infinity is not just an abstract, intellectualexercise but that it is instead a concept with important practical everyday applications, and considers how mathematicians use infinity and infinitesimals to answer questions or supply techniques that do not appear to involve the infinite.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, andenthusiasm to make interesting and challenging topics highly readable.


Author: Leonard Smith
Publisher: Oxford University Press
ISBN: 9780192853783
Release Date: 2007-02-22
Genre: Mathematics

An introduction to chaotic behavior dynamics describes its behavior in both science and the real world.

Fraktale Geometrie

Author: Kenneth J. Falconer
Publisher: Spektrum Akademischer Verlag
ISBN: 3860250752
Release Date: 1993-01-01


Author: John H. Holland
Publisher: Oxford University Press, USA
ISBN: 9780199662548
Release Date: 2014
Genre: History

In this Very Short Introduction, John Holland presents an introduction to the science of complexity. Using examples from biology and economics, he shows how complexity science models the behaviour of complex systems.

Food A Very Short Introduction

Author: John Krebs
Publisher: OUP Oxford
ISBN: 9780191637001
Release Date: 2013-09-26
Genre: Science

In this Very Short Introduction, Prof Lord John Krebs provides a brief history of human food, from our remote ancestors 3 million years ago to the present day. By looking at the four great transitions in human food - cooking, agriculture, processing, and preservation - he considers a variety of questions, including why people like some kinds of foods and not others; how your senses contribute to flavour; the role of genetics in our likes and dislikes; and the differences in learning and culture around the world. In turn he considers aspects of diet, nutrition, and health, and the disparity between malnutrition in some places and overconsumption in others. Finally, he considers some of the big issues - the obesity crisis, sustainable agriculture, the role of new technologies such as genetic modification of crops, and ends by posing the question: how will it be possible to feed a population of 9 billion in 2050, without destroying our natural environment? 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.

Contemporary Fiction A Very Short Introduction

Author: Robert Eaglestone
Publisher: OUP Oxford
ISBN: 9780191665158
Release Date: 2013-07-25
Genre: Literary Criticism

Contemporary fiction is a wide and diverse field, now global in dimension, with an enormous range of novels and writers that continues to grow at a fantastic speed. In this Very Short Introduction, Robert Eaglestone provides a clear and engaging exploration of the major themes, patterns, and debates of contemporary fiction. From genre, form, and experimentalism to the legacies of modernism and postmodernism, the relationship between globalization and terrorism, and the impact of technology, Eaglestone examines how works both reflect the world in which we live and the artistic concerns of writers and readers alike. 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.


Author: Heinz-Otto Peitgen
ISBN: 3540557830
Release Date: 1992

Die Reihe Chaos und Fraktale entstand in einer deutsch-amerikanischen Zusammenarbeit unter Mitwirkung des US-Mathematiklehrerverbandes NCTM und wurde zunAchst fA1/4r amerikanische Schulen entwickelt. Sie erscheint jetzt in Form von insgesamt vier ArbeitsbA1/4chern in einer Aoeberarbeitung fA1/4r Schulen im deutschsprachigen Raum. Das pAdagogische Credo der Autoren lAAt sich treffend mit der von Georg Christoph Lichtenberg und Niels Bohr geprAgten Auffassung von der unmethodischen Methode beschreiben, die sich gegen das nur vertikale Studium von z.B. Algebra, Geometrie usw. stellt. Im Mittelpunkt stehen fA1/4r die Autoren vielmehr: - Entdeckendes Lernen durch Handeln und systemati sches Probieren, - StArkung der Querverbindungen im Mathematik Curriculum, - VerknA1/4pfung des Mathematikcurriculums mit einem Gebiet aktueller Forschung, - Einbeziehung von visuellen und rechnergestA1/4tzten Methoden. Im ersten Band der Arbeitsbuchreihe wird am Beispiel des Sierpinski-Dreiecks das Thema Chaos und Fraktale behandelt. Der mit vielen Zeichnungen durchsetzte und didaktisch gut gegliederte Text behandelt das Zusammenspiel von geometrischen, zahlentheoretischen, wahrscheinlichkeitstheoretischen und meAtypischen Eigenschaften von Fraktalen. Der zweite Band spannt anhand der Parabel ein Netz von Querverbindungen zum Thema Chaos und Fraktale. Er zeigt das Zusammenspiel von geometrischen und zahlentheoretischen Eigenschaften von Chaos auf und enthAlt eine Einleitung in die Welt der Julia- und Mandelbrotmenge.

Bevor du mich findest

Author: Michael Kardos
ISBN: 9783732540259
Release Date: 2017-04-24
Genre: Fiction

Melanie war noch nie auf einer Party, ist noch nie geflogen, hat noch nie das Meer gesehen. Als sie drei Jahre alt war, ermordete ihr Vater ihre Mutter und wurde bis heute nicht gefasst. Seitdem lebt sie im Zeugenschutzprogramm, von der Außenwelt isoliert und immer in der Angst, dass er sie aufspürt. Doch sie will so nicht mehr leben. Um endlich frei zu sein, fasst sie einen gefährlichen Entschluss: Wenn ihr Vater sie nicht findet, dann muss sie ihn eben zuerst finden ...

The Beats A Very Short Introduction

Author: David Sterritt
Publisher: Oxford University Press
ISBN: 9780199344314
Release Date: 2013-07-11
Genre: History

In the late 1950s and early 1960s, the writers of the Beat Generation revolutionized American literature with their iconoclastic approach to language and their angry assault on the conformity and conservatism of postwar society. They and their followers took aim at the hypocrisy and taboos of their time--particularly those involving sex, race, and class--in such provocative works as Jack Kerouac's On the Road (1957), Allen Ginsberg's "Howl" (1956), and William S. Burroughs's Naked Lunch (1959). In this Very Short Introduction, David Sterritt offers a concise overview of the social, cultural, and aesthetic sensibilities of the Beats, bringing out the similarities that connected them and also the many differences that made them a loosely knit collective rather than an organized movement. Figures in the saga include Neal Cassady, Gregory Corso, Lawrence Ferlinghetti, John Clellon Holmes, Carolyn Cassady, and Gary Snyder. As Sterritt ranges from Greenwich Village and San Francisco to Mexico, western Europe, and North Africa, he sheds much light on how the Beats approached literature, drugs, sexuality, art, music, and religion. Members of the Beat Generation hoped that their radical rejection of materialism, consumerism, and regimentation would inspire others to purify their lives and souls as well. Yet they urged the remaking of consciousness on a profoundly inward-looking basis, cultivating "the unspeakable visions of the individual," in Kerouac's phrase. The idea was to revolutionize society by revolutionizing thought, not the other way around. This book explains how the Beats used their antiauthoritarian visions and radical styles to challenge dominant values, fending off absorption into mainstream culture while preparing ground for the larger, more explosive social upheavals of the 1960s. More than half a century later, the Beats' impact can still be felt in literature, cinema, music, theater, and the visual arts. This compact introduction explains why. About the Series: Oxford's Very Short Introductions series offers concise and original introductions to a wide range of subjects--from Islam to Sociology, Politics to Classics, Literary Theory to History, and Archaeology to the Bible. Not simply a textbook of definitions, each volume in this series provides trenchant and provocative--yet always balanced and complete--discussions of the central issues in a given discipline or field. Every Very Short Introduction gives a readable evolution of the subject in question, demonstrating how the subject has developed and how it has influenced society. Eventually, the series will encompass every major academic discipline, offering all students an accessible and abundant reference library. Whatever the area of study that one deems important or appealing, whatever the topic that fascinates the general reader, the Very Short Introductions series has a handy and affordable guide that will likely prove indispensable.

Die Existenz der Welt

Author: Reinhardt Grossmann
Publisher: Walter de Gruyter
ISBN: 9783110330373
Release Date: 2013-08-16
Genre: Philosophy

Diese Einführung in die Ontologie zeigt die Geschichte der abendländischen Philosophie als einen dauernden Kampf zwischen den Riesen und Göttern von Platons Sophistes. Auf der einen Seite gibt es die Philosophen, die die Auffassung vertreten, daß nur das physikalische Universum existiert und auf der anderen Seite gibt es solche Philosophen, die darauf bestehen, daß es eine weit 'größere' Welt gibt, die auch zeitlose und nicht-räumliche Dinge, wie z.B. Egenschaften enthält. Der Autor diskutiert detailliert diese wichtige metaphysische Debatte, die dem Kampf zugrunde liegt, nämlich die Auseinandersetzung zwischen Naturalisten und Ontologen. Das Buch beginnt mit einer Untersuchung der Geschichte der Auseinandersetzung zwischen Nominalisten und Realisten über das Problem der Universalien. Danach erkundet der Autor die Natur und Existenz der Kategorien wie Relationen, Strukturen, Zahlen und Tatsachen. Im letzten Teil argumentiert er dafür, daß Existenz und Negation keine Kategorien sind, sondern eher Merkmale der Welt. Die Einführung in die Ontologie dient zugleich als Einführung in die Philosophie insgesamt und zeichnet sich durch Klarheit, gute Verständlichkeit und einen lebendigen Stil aus.