## Mathematics for the Imagination

Author: Peter Higgins
Publisher: Oxford University Press
ISBN: 0198604602
Format: PDF, ePub, Docs

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, Mobi

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.

## Geometry and the Imagination

Author: David Hilbert
Publisher: American Mathematical Soc.
ISBN: 0821819984
Format: PDF, Docs

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.

## The Mathematical Imagination

Author:
Publisher:
ISBN: 9780823283828
Format: PDF, Kindle

## An Applet for the Teacher

Author: Alan Graham
Publisher:
ISBN: 9781907550003
Format: PDF, ePub, Docs

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

## Matter Imagination and Geometry

Publisher: Ashgate Pub Limited
ISBN: 9780754615743
Format: PDF, ePub, Docs

The focus is on key thinkers Plotinus and Descartes (with the occasional appearance of Plato, Aristotle, Euclid, Proclus, Newton and others), in whom the fundamental presuppositions of ripe antiquity and of early modernity find their definite expression."--Jacket.

## The Routledge Handbook of Philosophy of Imagination

Author: Amy Kind
Publisher: Routledge
ISBN: 1317329457
Format: PDF

Imagination occupies a central place in philosophy, going back to Aristotle. However, following a period of relative neglect there has been an explosion of interest in imagination in the past two decades as philosophers examine the role of imagination in debates about the mind and cognition, aesthetics and ethics, as well as epistemology, science and mathematics. This outstanding Handbook contains over thirty specially commissioned chapters by leading philosophers organised into six clear sections examining the most important aspects of the philosophy of imagination, including: Imagination in historical context: Aristotle, Descartes, Hume, Kant, Husserl, and Sartre What is imagination? The relation between imagination and mental imagery; imagination contrasted with perception, memory, and dreaming Imagination in aesthetics: imagination and our engagement with music, art, and fiction; the problems of fictional emotions and ‘imaginative resistance’ Imagination in philosophy of mind and cognitive science: imagination and creativity, the self, action, child development, and animal cognition Imagination in ethics and political philosophy, including the concept of 'moral imagination' and empathy Imagination in epistemology and philosophy of science, including learning, thought experiments, scientific modelling, and mathematics. The Routledge Handbook of Philosophy of Imagination is essential reading for students and researchers in philosophy of mind and psychology, aesthetics, and ethics. It will also be a valuable resource for those in related disciplines such as psychology and art.

## Mathematics Masterclasses

Author: Michael J. Sewell
Publisher: Oxford University Press on Demand
ISBN: 9780198514947
Format: PDF, ePub, Mobi

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!

## Flatterland

Author: Ian Stewart