Mathematics for the Imagination

Author: Peter Higgins
Publisher: Oxford University Press
ISBN: 0198604602
Format: PDF
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Mathematics for the Imagination provides an accessible and entertaining investigation into mathematical problems in the world around us. From world navigation, family trees, and calendars to patterns, tessellations, and number tricks, this informative and fun new book helps you to understand the maths behind real-life questions and rediscover your arithmetical mind. This is a follow-up to the popular Mathematics for the Curious, Peter Higgins's first investigation into real-life mathematical problems. A highly involving book which encourages the reader to enter into the spirit of mathematical exploration.

Mathematics and the Imagination

Author: Edward Kasner
Publisher: Courier Corporation
ISBN: 0486320278
Format: PDF, ePub, Docs
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With wit and clarity, the authors progress from simple arithmetic to calculus and non-Euclidean geometry. Their subjects: geometry, plane and fancy; puzzles that made mathematical history; tantalizing paradoxes; more. Includes 169 figures.

An Applet for the Teacher

Author: Alan Graham
Publisher:
ISBN: 9781907550003
Format: PDF, Docs
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For many of us, in our own school days, mathematics lessons were pretty boring. Today there is enormous potential for technology to enliven learning and nowhere can its power be harnessed more effectively than in the teaching of mathematics. Over the last

The Joy of x

Author: Steven Strogatz
Publisher: Kein & Aber AG
ISBN: 3036992693
Format: PDF, Mobi
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Mathematik durchdringt den ganzen Kosmos. Das weiß jeder, doch nur die wenigsten verstehen die Zusammenhänge wirklich. Steven Strogatz nimmt uns bei der Hand und spaziert mit uns durch diese Welt der Weisheit, Klarheit und Eleganz. Als Reiseleiter geht er neue, erfrischende Wege, deutet auf Besonderheiten, schildert Hintergründe und erklärt die unsichtbaren Mechanismen. Wir erfahren unter anderem von dem Wunder des Zählens, der genialen Einfachheit der Algebra, dem ewigen Erbe Newtons, dem Tango mit Quadraten, der Zweisamkeit von Primzahlen und der Macht des Unendlichen. Mit all seiner Begeisterung, seinem Scharfblick und seinem leichtem Ton hat Steven Strogatz ein herrliches Buch für alle geschrieben, die ihr Verständnis von Mathematik auf eine neue Art vertiefen möchten.

Mathematics Masterclasses

Author: Michael J. Sewell
Publisher: Oxford University Press on Demand
ISBN: 9780198514947
Format: PDF, ePub, Mobi
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This is a valuable resource of non-syllabus material for mathematics in school education and science teachers at secondary school level, teenagers and parents. It contains written versions of Royal Institution masterclasses on a wide selection of topics in pure and applied mathematics, and very little knowledge is assumed. Topics include chaos theory, meteorology, storage limitations of computers, population growth and decay, and the mechanics of dinosaurs. This book shows that mathematics can be fun!

Anschauliche Geometrie

Author: David Hilbert
Publisher: Springer-Verlag
ISBN: 3662366851
Format: PDF, Kindle
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Dieser Buchtitel ist Teil des Digitalisierungsprojekts Springer Book Archives mit Publikationen, die seit den Anfängen des Verlags von 1842 erschienen sind. Der Verlag stellt mit diesem Archiv Quellen für die historische wie auch die disziplingeschichtliche Forschung zur Verfügung, die jeweils im historischen Kontext betrachtet werden müssen. Dieser Titel erschien in der Zeit vor 1945 und wird daher in seiner zeittypischen politisch-ideologischen Ausrichtung vom Verlag nicht beworben.

The Mathematical Imagination

Author: Matthew Handelman
Publisher:
ISBN: 9780823283835
Format: PDF, Mobi
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During the Weimar Republic, mathematics provided Gershom Scholem, Franz Rosenzweig, and Siegfried Kracauer - friends and forerunners of the Frankfurt School - with tools to navigate the crises of modernity. This study explores the histories of mathematics at the origin of critical theory and shows the enduring relevance of mathematics for critical thought.

Geometry and the Imagination

Author: David Hilbert
Publisher: American Mathematical Soc.
ISBN: 0821819984
Format: PDF, Mobi
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This remarkable book endures as a true masterpiece of mathematical exposition. The book is overflowing with mathematical ideas, which are always explained clearly and elegantly, and above all, with penetrating insight. It is a joy to read, both for beginners and experienced mathematicians. Geometry and the Imagination is full of interesting facts, many of which you wish you had known before. The book begins with examples of the simplest curves and surfaces, including thread constructions of certain quadrics and other surfaces. The chapter on regular systems of points leads to the crystallographic groups and the regular polyhedra in $\mathbb{R}^3$. In this chapter, they also discuss plane lattices. By considering unit lattices, and throwing in a small amount of number theory when necessary, they effortlessly derive Leibniz's series: $\pi/4 = 1 - 1/3 + 1/5 - 1/7 + - \ldots$. In the section on lattices in three and more dimensions, the authors consider sphere-packing problems, including the famous Kepler problem. One of the most remarkable chapters is ``Projective Configurations''. In a short introductory section, Hilbert and Cohn-Vossen give perhaps the most concise and lucid description of why a general geometer would care about projective geometry and why such an ostensibly plain setup is truly rich in structure and ideas. The chapter on kinematics includes a nice discussion of linkages and the geometry of configurations of points and rods that are connected and, perhaps, constrained in some way. This topic in geometry has become increasingly important in recent times, especially in applications to robotics. This is another example of a simple situation that leads to a rich geometry. It would be hard to overestimate the continuing influence Hilbert-Cohn-Vossen's book has had on mathematicians of this century. It surely belongs in the "pantheon" of great mathematics books.

Das lebendige Theorem

Author: Cédric Villani
Publisher: S. Fischer Verlag
ISBN: 3104025665
Format: PDF
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Im Kopf eines Genies – der Bericht von einem mathematischen Abenteuer und der Roman eines sehr erfolgreichen Forschers Cédric Villani gilt als Kandidat für die begehrte Fields-Medaille, eine Art Nobelpreis für Mathematiker. Sie wird aber nur alle vier Jahre vergeben, und man muss unter 40 sein. Er hat also nur eine Chance. Unmöglich! Unmöglich? Fieberhaft macht er sich an die Arbeit. Jetzt erzählt er seine Geschichte, und ihm gelingt das Unglaubliche: Wir werden direkte Zeugen der Denkprozesse eines Mathematikers, und das, ohne die dazugehörigen Formeln verstehen zu müssen. Ein Buch, so einzigartig wie sein Autor.

The Imagination in Education

Author: Sean Blenkinsop
Publisher: Cambridge Scholars Publishing
ISBN: 1443803707
Format: PDF, ePub, Docs
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This collection of essays from scholars in eleven countries, centres upon the theory and practice of the use of imagination in education. By bringing together studies covering a wide range of subject matter we trust that the reader will have the opportunity to appreciate both the diversity within the field and the significance of the topics discussed. We hope too that readers will find connections to their own areas of study. The 13 essays present distinct yet converging points of view, whether it be a discussion of the imagination as a virtue, the use of imagination as a means to improve aboriginal education in Northern Canada, or the description of a museum in Brazil in which the imagination of the child is central to the project. Separately, each of the papers identifies and explores a distinct aspect of Imaginative Education; together, they begin to define the breadth and richness of the field. These essays have been selected from papers presented over a period of several years to research symposiums in imagination and education held every summer in Vancouver, Canada under the auspices of the Imaginative Education Research Group in the Faculty of Education at Simon Fraser University.