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Topology (Mathematics)
A Very Short Introduction | Mathematics
Topology
ISBN: 9780198832683
Series: A Very Short Introduction
Topology (Mathematics)
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ISBN
9780198832683 (10-digit ISBN: 0198832680)
- Description
- Key Features
- Series Description
- Table of Contents
- Explores the mathematical field of topology, giving a sense of the visual elements of the field, as well as the formal definition of continuity
- Discusses the important implications of topology, a major field of maths, for science more generally, especially physics
- Considers some of the eye-opening examples that led mathematicians to recognize a need for studying topology
- Pays homage to the historical people, problems, and surprises that propelled the growth of the field
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. As broad and fundamental as algebra and geometry, its study has important implications for science more generally, especially physics. Most people will have encountered topology, even if they're not aware of it, through Möbius strips, and knot problems such as the trefoil knot.
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.
Oxford's Very Short Introductions series offers concise and original introductions to a wide range of subjects--from Islam to Sociology, Politics to Classics, Literary Theory to History, and Archaeology to the Bible.
Not simply a textbook of definitions, each volume in this series provides trenchant and provocative--yet always balanced and complete--discussions of the central issues in a given discipline or field. Every Very Short Introduction gives a readable evolution of the subject in question, demonstrating how the subject has developed and how it has influenced society. Eventually, the series will encompass every major academic discipline, offering all students an accessible and abundant reference library.
Whatever the area of study that one deems important or appealing, whatever the topic that fascinates the general reader, the Very Short Introductions series has a handy and affordable guide that will likely prove indispensable.
Please note: As this series is not ELT material, these titles are not subject to discount.
1: What is Topology?
2: Making Surfaces
3: Thinking Continuously
4: The Plane and Other Spaces
5: Flavours of Topology
6: More on Surfaces
7: Knot to Be
Historical Timeline
Further Reading
Index
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. As broad and fundamental as algebra and geometry, its study has important implications for science more generally, especially physics. Most people will have encountered topology, even if they're not aware of it, through Möbius strips, and knot problems such as the trefoil knot.
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.
Key Features
- Explores the mathematical field of topology, giving a sense of the visual elements of the field, as well as the formal definition of continuity
- Discusses the important implications of topology, a major field of maths, for science more generally, especially physics
- Considers some of the eye-opening examples that led mathematicians to recognize a need for studying topology
- Pays homage to the historical people, problems, and surprises that propelled the growth of the field
Series Description
Oxford's Very Short Introductions series offers concise and original introductions to a wide range of subjects--from Islam to Sociology, Politics to Classics, Literary Theory to History, and Archaeology to the Bible.
Not simply a textbook of definitions, each volume in this series provides trenchant and provocative--yet always balanced and complete--discussions of the central issues in a given discipline or field. Every Very Short Introduction gives a readable evolution of the subject in question, demonstrating how the subject has developed and how it has influenced society. Eventually, the series will encompass every major academic discipline, offering all students an accessible and abundant reference library.
Whatever the area of study that one deems important or appealing, whatever the topic that fascinates the general reader, the Very Short Introductions series has a handy and affordable guide that will likely prove indispensable.
Please note: As this series is not ELT material, these titles are not subject to discount.
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