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Topology

Richard Earl · ISBN 9780192568991
Topology | Zookal Textbooks | Zookal Textbooks
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Publisher Oxford University Press UK
Author(s) Richard Earl
Subtitle A Very Short Introduction
Published 12th December 2019
Related course codes ASTR2013 - Foundations of Astrophysics, MATH1013 - Mathematics and Applications 1, MATH1116 - Advanced Mathematics and Applications 2, MATH4204 - Algebraic Topology Honours, PHYS2204 - Soft Condensed Matter, PHYS3103 - Advanced Statistical Mechanics, PHY102 - Electricity and Waves, PHY10002 - Introduction to Physics, PUREMTH3002 - Topology and Analysis III, PUREMTH3007 - Groups and Rings III, PUREMTH4012 - Pure Mathematics Topic B Honours, PUREMTH4102 - Topology and Analysis Honours, PUREMTH4107 - Groups and Rings Honours, PUREMTH4119 - Complex Analysis Honours, PUREMTH7002 - Pure Mathematics Topic B, PUREMTH7055 - Topology and Analysis, PUREMTH7059 - Groups and Rings, PHYC10004 - Physics 2, EPPHYS308 - Physics, PHYS1205 - Fundamentals of Engineering Physics, PHYS1220 - Advanced Physics II, MATH3061 - Geometry and Topology, MATH3968 - Differential Geometry (Advanced), MATH4068 - Differential Geometry, PHYS1004 - Physics 1 (Environmental and Life Science), PHYS1904 - Physics 1B (Special Studies Program), PHYS3035 - Electrodynamics and Optics, PHYS3935 - Electrodynamics and Optics (Advanced), PHYS4123 - General Relativity and Cosmology, PHYS4124 - Physics of the Standard Model

A Very Short Introduction

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.
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