Topology

Topology

Author: Richard Earl

Publisher: Oxford University Press, USA

Published: 2020-01-11

Total Pages: 169

ISBN-13: 0198832680

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How is a subway map different from other maps? What makes a knot knotted? What makes the M�bius 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.


Symmetry: A Very Short Introduction

Symmetry: A Very Short Introduction

Author: Ian Stewart

Publisher: OUP Oxford

Published: 2013-05-30

Total Pages: 161

ISBN-13: 0191652741

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In the 1800s mathematicians introduced a formal theory of symmetry: group theory. Now a branch of abstract algebra, this subject first arose in the theory of equations. Symmetry is an immensely important concept in mathematics and throughout the sciences, and its applications range across the entire subject. Symmetry governs the structure of crystals, innumerable types of pattern formation, how systems change their state as parameters vary; and fundamental physics is governed by symmetries in the laws of nature. It is highly visual, with applications that include animal markings, locomotion, evolutionary biology, elastic buckling, waves, the shape of the Earth, and the form of galaxies. In this Very Short Introduction, Ian Stewart demonstrates its deep implications, and shows how it plays a major role in the current search to unify relativity and quantum theory. 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.


Topology: A Very Short Introduction

Topology: A Very Short Introduction

Author: Richard Earl

Publisher: Oxford University Press

Published: 2019-12-12

Total Pages: 144

ISBN-13: 0192568981

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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.


Networks: A Very Short Introduction

Networks: A Very Short Introduction

Author: Guido Caldarelli

Publisher: Oxford University Press

Published: 2012-10-25

Total Pages: 144

ISBN-13: 0199588074

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Networks are involved in many aspects of everyday life, from food webs in ecology and the spread of pandemics to social networking and public transport. This Very Short Introduction explores the basics of network theory to understand the science of complexity and its importance, using examples from nature, technology, and society, and history.


Projects

Projects

Author: Andrew Davies

Publisher: Oxford University Press

Published: 2017

Total Pages: 177

ISBN-13: 0198727666

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A project is a temporary coalition of people and resources brought together to achieve a one-off objective. Andrew Davies explains how and why the project approach is central to success in creating products and services, constructing major infrastructure, launching entrepreneurial ventures, implementing strategies, even landing a man on the moon.


Number Theory

Number Theory

Author: Robin Wilson

Publisher: Oxford University Press, USA

Published: 2020

Total Pages: 177

ISBN-13: 0198798091

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Number theory is the branch of mathematics primarily concerned with the counting numbers, especially primes. It dates back to the ancient Greeks, but today it has great practical importance in cryptography, from credit card security to national defence. This book introduces the main areas of number theory, and some of its most interesting problems.


Mathematics: A Very Short Introduction

Mathematics: A Very Short Introduction

Author: Timothy Gowers

Publisher: Oxford Paperbacks

Published: 2002-08-22

Total Pages: 172

ISBN-13: 9780192853615

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The aim of this volume is to explain the differences between research-level mathematics and the maths taught at school. Most differences are philosophical and the first few chapters are about general aspects of mathematical thought.


The American South

The American South

Author: Charles Reagan Wilson

Publisher: Oxford University Press

Published: 2020-12-10

Total Pages: 162

ISBN-13: 0199943516

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"The American South has a dramatic history that has made it a distinctive place on the world stage, one with continuing significance into the twenty-first century. Its early history illuminates the expansion of Europe into the New World, creating a colonial, plantation, slave society that made it different from other parts of the United States but fostered commonalities with other southern places that had similar colonial experiences. The Civil War and civil rights movement are historical events that transformed the South in differing ways and remain part of a vibrant public memory, one that the region's people and outsiders to the region often contest. In the twentieth century, the South's pronounced traditionalism in customs and values was in tension with the forces of modernization that only slowly forced change"--


Modern Ireland: A Very Short Introduction

Modern Ireland: A Very Short Introduction

Author: Senia Paseta

Publisher: OUP Oxford

Published: 2003-03-27

Total Pages: 184

ISBN-13: 019157757X

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This is a book about the Irish Question, or more specifically about Irish Questions. The term has become something of a catch-all, a convenient way to encompass numerous issues and developments which pertain to the political, social, and economic history of modern Ireland.The Irish Question has of course changed: one of the main aims of this book is to explore the complicated and shifting nature of the Irish Question and to assess what it has meant to various political minds and agendas. No other issue brought down as many nineteenth-century governments and no comparable twentieth-century dilemma has matched its ability to frustrate the attempts of British cabinets to find a solution; this inability to find a lasting answer to the Irish Question is especially striking when seen in the context of the massive shifts in British foreign policy brought about by two world wars, decolonization, and the cold war. Senia Paseta charts the changing nature of the Irish Question over the last 200 years, within an international political and social historical context. 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.


Combinatorics

Combinatorics

Author: Robin J. Wilson

Publisher: Oxford University Press

Published: 2016

Total Pages: 177

ISBN-13: 0198723490

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How many possible sudoku puzzles are there? In the lottery, what is the chance that two winning balls have consecutive numbers? Who invented Pascal's triangle? (it was not Pascal) Combinatorics, the branch of mathematics concerned with selecting, arranging, and listing or counting collections of objects, works to answer all these questions. Dating back some 3000 years, and initially consisting mainly of the study of permutations and combinations, its scope has broadened to include topics such as graph theory, partitions of numbers, block designs, design of codes, and latin squares. In this Very Short Introduction Robin Wilson gives an overview of the field and its applications in mathematics and computer theory, considering problems from the shortest routes covering certain stops to the minimum number of colours needed to colour a map with different colours for neighbouring countries. 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.