Topology: A Very Short Introduction

Topology: A Very Short Introduction

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Summary

This book explores the mathematical field of topology, giving a sense of the visual elements of the field, as well as the formal definition of continuity. Considering some of the eye-opening examples that led mathematicians to study topology, it pays homage to the historical people, problems, and surprises that propelled the growth of the field.

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Topology: A Very Short Introduction by Richard Earl

How is a subway map different from other maps? What makes a knot knotted? What makes the Möbius strip one-sided? These are questions of topology, the mathematical study of properties preserved by twisting or stretching objects. In the 20th century topology became as broad and fundamental as algebra and geometry, with important implications for science, especially physics. In this Very Short Introduction Richard Earl gives a sense of the more visual elements of topology (looking at surfaces) as well as covering the formal definition of continuity. Considering some of the eye-opening examples that led mathematicians to recognize a need for studying topology, he pays homage to the historical people, problems, and surprises that have propelled the growth of this field. 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.
The book is written in an intuitive, informal and motivating style, with emphasis on concepts, ideas, examples and historical comments, and can be recommended as parallel reading for students of a basic course in topology* Bruno Zimmermann, zbMATH *
Dr Richard Earl is Director of Undergraduate Studies in the Mathematical Institute, Oxford University, and Senior Tutor in Mathematics at Worcester College, Oxford. He has taught topology at undergraduate and graduate level, as well as presenting the topic to secondary school students. He is the author of Towards Higher Mathematics: A Companion (CUP, 2017).
SKU Unavailable
ISBN 13 9780198832683
ISBN 10 0198832680
Title Topology: A Very Short Introduction
Author Richard Earl
Series Very Short Introductions
Condition Unavailable
Binding Type Paperback
Publisher Oxford University Press
Year published 2019-12-12
Number of pages 176
Cover note Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
Note Unavailable