Topology A Very Short Introduction
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Author | : Richard Earl |
Publisher | : Oxford University Press, USA |
Total Pages | : 169 |
Release | : 2020-01-11 |
Genre | : MATHEMATICS |
ISBN | : 0198832680 |
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.
Author | : Ian Stewart |
Publisher | : OUP Oxford |
Total Pages | : 161 |
Release | : 2013-05-30 |
Genre | : Mathematics |
ISBN | : 0191652741 |
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.
Author | : Kenneth Falconer |
Publisher | : OUP Oxford |
Total Pages | : 153 |
Release | : 2013-09-26 |
Genre | : Mathematics |
ISBN | : 0191663441 |
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.
Author | : Guido Caldarelli |
Publisher | : Oxford University Press |
Total Pages | : 144 |
Release | : 2012-10-25 |
Genre | : Computers |
ISBN | : 0199588074 |
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.
Author | : Richard Earl |
Publisher | : Oxford University Press |
Total Pages | : 144 |
Release | : 2019-12-12 |
Genre | : Mathematics |
ISBN | : 0192568981 |
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.
Author | : Robin Wilson |
Publisher | : Oxford University Press, USA |
Total Pages | : 177 |
Release | : 2020 |
Genre | : Mathematics |
ISBN | : 0198798091 |
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.
Author | : Andrew Davies |
Publisher | : Oxford University Press |
Total Pages | : 177 |
Release | : 2017 |
Genre | : Business & Economics |
ISBN | : 0198727666 |
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.
Author | : Tom McLeish |
Publisher | : Oxford University Press, USA |
Total Pages | : 177 |
Release | : 2020-10-14 |
Genre | : Science |
ISBN | : 0198807139 |
Tom McLeish delves into the growing field of soft matter - the study of materials such as polymers, colloids, liquid crystals, and foams. Looking beneath their appearance to their inner structure, he discusses their shared physical properties, the principle of Brownian Motion that underlies all soft matter, and the applications of these materials.
Author | : Charles Reagan Wilson |
Publisher | : Oxford University Press |
Total Pages | : 162 |
Release | : 2020-12-10 |
Genre | : History |
ISBN | : 0199943516 |
"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"--
Author | : Erle C. Ellis |
Publisher | : Oxford University Press |
Total Pages | : 209 |
Release | : 2018-02-22 |
Genre | : Science |
ISBN | : 0192511386 |
The proposal that the impact of humanity on the planet has left a distinct footprint, even on the scale of geological time, has recently gained much ground. Global climate change, shifting global cycles of the weather, widespread pollution, radioactive fallout, plastic accumulation, species invasions, the mass extinction of species - these are just some of the many indicators that we will leave a lasting record in rock, the scientific basis for recognizing new time intervals in Earth's history. The Anthropocene, as the proposed new epoch has been named, is regularly in the news. Even with such robust evidence, the proposal to formally recognize our current time as the Anthropocene remains controversial both inside and outside the scholarly world, kindling intense debates. The reason is clear. The Anthropocene represents far more than just another interval of geologic time. Instead, the Anthropocene has emerged as a powerful new narrative, a concept through which age-old questions about the meaning of nature and even the nature of humanity are being revisited and radically revised. This Very Short Introduction explains the science behind the Anthropocene and the many proposals about when to mark its beginning: the nuclear tests of the 1950s? The beginnings of agriculture? The origins of humans as a species? Erle Ellis considers the many ways that the Anthropocene's "evolving paradigm" is reshaping the sciences, stimulating the humanities, and foregrounding the politics of life on a planet transformed by humans. The Anthropocene remains a work in progress. Is this the story of an unprecedented planetary disaster? Or of newfound wisdom and redemption? Ellis offers an insightful discussion of our role in shaping the planet, and how this will influence our future on many fronts. 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.