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Topology: A Very Short Introduction

Topology: A Very Short Introduction  

Richard Earl

Print Publication Year: 
Dec 2019
Published Online: 
Dec 2019
eISBN: 
9780191871252
DOI: 
10.1093/actrade/9780198832683.001.0001
Item type: 
book
ISBN: 
9780198832683
Topology, the mathematical study of the properties that are preserved through the deformations, twistings, and stretchings of objects, is an important area of modern mathematics. Topology: ... More
1. What is topology?

1. What is topology?  

Richard Earl

in Topology: A Very Short Introduction

Print Publication Year: 
Dec 2019
Published Online: 
Dec 2019
eISBN: 
9780191871252
DOI: 
10.1093/actrade/9780198832683.003.0001
Item type: 
chapter
ISBN: 
9780198832683
Topology is now a major area of modern mathematics, but an appreciation of topology came late in the history of mathematics. The word topology—meaning ‘the study of place’—was not coined ... More
4. The flipside of infinity

4. The flipside of infinity  

Ian Stewart

in Infinity: A Very Short Introduction

Print Publication Year: 
Mar 2017
Published Online: 
Mar 2017
eISBN: 
9780191816574
DOI: 
10.1093/actrade/9780198755234.003.0005
Item type: 
chapter
ISBN: 
9780198755234
‘The flipside of infinity’ examines a logical counterpart of the infinite: infinitesimals. These are quantities that are infinitely small, instead of infinitely large. Historically, such ... More
7. Counting infinity

7. Counting infinity  

Ian Stewart

in Infinity: A Very Short Introduction

Print Publication Year: 
Mar 2017
Published Online: 
Mar 2017
eISBN: 
9780191816574
DOI: 
10.1093/actrade/9780198755234.003.0008
Item type: 
chapter
ISBN: 
9780198755234
‘Counting infinity’ returns to the mathematics of infinity, discussing Cantor’s remarkable theory of how to count infinite sets, and the discovery that there are different sizes of ... More

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