Topology: A Very Short Introduction

Topology: A Very Short Introduction
Author: Richard Earl
Publisher: Oxford University Press
Total Pages: 144
Release: 2019-12-12
Genre: Mathematics
ISBN: 019256899X

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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.

Symmetry: A Very Short Introduction

Symmetry: A Very Short Introduction
Author: Ian Stewart
Publisher: OUP Oxford
Total Pages: 161
Release: 2013-05-30
Genre: Mathematics
ISBN: 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.

Networks: A Very Short Introduction

Networks: A Very Short Introduction
Author: Guido Caldarelli
Publisher: OUP Oxford
Total Pages: 136
Release: 2012-10-25
Genre: Social Science
ISBN: 0191642738

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From ecosystems to Facebook, from the Internet to the global financial market, some of the most important and familiar natural systems and social phenomena are based on a networked structure. It is impossible to understand the spread of an epidemic, a computer virus, large-scale blackouts, or massive extinctions without taking into account the network structure that underlies all these phenomena. In this Very Short Introduction, Guido Caldarelli and Michele Catanzaro discuss the nature and variety of networks, using everyday examples from society, technology, nature, and history to explain and understand the science of network theory. They show the ubiquitous role of networks; how networks self-organize; why the rich get richer; and how networks can spontaneously collapse. They conclude by highlighting how the findings of complex network theory have very wide and important applications in genetics, ecology, communications, economics, and sociology. 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.

Number Theory

Number Theory
Author: Robin Wilson
Publisher: Oxford University Press, USA
Total Pages: 177
Release: 2020
Genre: Mathematics
ISBN: 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.

Topology: A Very Short Introduction

Topology: A Very Short Introduction
Author: Richard Earl
Publisher: Oxford University Press
Total Pages: 144
Release: 2019-12-12
Genre: Mathematics
ISBN: 0192568981

Download Topology: A Very Short Introduction Book in PDF, Epub and Kindle

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.

Projects

Projects
Author: Andrew Davies
Publisher: Oxford University Press
Total Pages: 177
Release: 2017
Genre: Business & Economics
ISBN: 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.

Algebra: A Very Short Introduction

Algebra: A Very Short Introduction
Author: Peter M. Higgins
Publisher: OUP Oxford
Total Pages: 161
Release: 2015-10-22
Genre: Mathematics
ISBN: 0191047465

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Algebra marked the beginning of modern mathematics, moving it beyond arithmetic, which involves calculations featuring given numbers, to problems where some quantities are unknown. Now, it stands as a pillar of mathematics, underpinning the quantitative sciences, both social and physical. This Very Short Introduction explains algebra from scratch. Over the course of ten logical chapters, Higgins offers a step by step approach for readers keen on developing their understanding of algebra. Using theory and example, he renews the reader's aquaintance with school mathematics, before taking them progressively further and deeper into the subject. 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.

Relativity: A Very Short Introduction

Relativity: A Very Short Introduction
Author: Russell Stannard
Publisher: Oxford University Press, USA
Total Pages: 129
Release: 2008-07-24
Genre: Mathematics
ISBN: 0199236224

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Einstein's theory of relativity shattered the world of physics - replacing Newtonian ideas of space and time with bizarre and counterintuitive conclusions: a world of slowing clocks and stretched space, black holes and curved space-time. This Very Short Introduction explores and explains the theory in an accessible and understandable way.

Fractals: A Very Short Introduction

Fractals: A Very Short Introduction
Author: Kenneth Falconer
Publisher: OUP Oxford
Total Pages: 153
Release: 2013-09-26
Genre: Mathematics
ISBN: 0191663441

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Many are familiar with the beauty and ubiquity of fractal forms within nature. Unlike the study of smooth forms such as spheres, fractal geometry describes more familiar shapes and patterns, such as the complex contours of coastlines, the outlines of clouds, and the branching of trees. In this Very Short Introduction, Kenneth Falconer looks at the roots of the 'fractal revolution' that occurred in mathematics in the 20th century, presents the 'new geometry' of fractals, explains the basic concepts, and explores the wide range of applications in science, and in aspects of economics. This is essential introductory reading for students of mathematics and science, and those interested in popular science and mathematics. 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.

Mathematics: A Very Short Introduction

Mathematics: A Very Short Introduction
Author: Timothy Gowers
Publisher: Oxford Paperbacks
Total Pages: 172
Release: 2002-08-22
Genre: Mathematics
ISBN: 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.