Infinity A Very Short Introduction


Infinity A Very Short Introduction
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Infinity


Infinity
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Author : Ian Stewart
language : en
Publisher: Oxford University Press
Release Date : 2017

Infinity written by Ian Stewart and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017 with Infinite categories.


Infinity is an intriguing topic, with connections to religion, philosophy, metaphysics, logic, and physics as well as mathematics. Its history goes back to ancient times, with especially important contributions from Euclid, Aristotle, Eudoxus, and Archimedes. The infinitely large (infinite) isintimately related to the infinitely small (infinitesimal). Cosmologists consider sweeping questions about whether space and time are infinite. Philosophers and mathematicians ranging from Zeno to Russell have posed numerous paradoxes about infinity and infinitesimals. Many vital areas ofmathematics rest upon some version of infinity. The most obvious, and the first context in which major new techniques depended on formulating infinite processes, is calculus. But there are many others, for example Fourier analysis and fractals.In this Very Short Introduction, Ian Stewart discusses infinity in mathematics while also drawing in the various other aspects of infinity and explaining some of the major problems and insights arising from this concept. He argues that working with infinity is not just an abstract, intellectualexercise but that it is instead a concept with important practical everyday applications, and considers how mathematicians use infinity and infinitesimals to answer questions or supply techniques that do not appear to involve the infinite.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, andenthusiasm to make interesting and challenging topics highly readable.



Mathematics A Very Short Introduction


Mathematics A Very Short Introduction
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Author : Timothy Gowers
language : en
Publisher: Oxford Paperbacks
Release Date : 2002-08-22

Mathematics A Very Short Introduction written by Timothy Gowers and has been published by Oxford Paperbacks this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-08-22 with Mathematics categories.


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.



Infinity A Very Short Introduction


Infinity A Very Short Introduction
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Author : Ian Stewart
language : en
Publisher: Oxford University Press
Release Date : 2017-03-13

Infinity A Very Short Introduction written by Ian Stewart and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-03-13 with Mathematics categories.


Infinity is an intriguing topic, with connections to religion, philosophy, metaphysics, logic, and physics as well as mathematics. Its history goes back to ancient times, with especially important contributions from Euclid, Aristotle, Eudoxus, and Archimedes. The infinitely large (infinite) is intimately related to the infinitely small (infinitesimal). Cosmologists consider sweeping questions about whether space and time are infinite. Philosophers and mathematicians ranging from Zeno to Russell have posed numerous paradoxes about infinity and infinitesimals. Many vital areas of mathematics rest upon some version of infinity. The most obvious, and the first context in which major new techniques depended on formulating infinite processes, is calculus. But there are many others, for example Fourier analysis and fractals. In this Very Short Introduction, Ian Stewart discusses infinity in mathematics while also drawing in the various other aspects of infinity and explaining some of the major problems and insights arising from this concept. He argues that working with infinity is not just an abstract, intellectual exercise but that it is instead a concept with important practical everyday applications, and considers how mathematicians use infinity and infinitesimals to answer questions or supply techniques that do not appear to involve the infinite. 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
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Author : Ian Stewart
language : en
Publisher: OUP Oxford
Release Date : 2013-05-30

Symmetry A Very Short Introduction written by Ian Stewart and has been published by OUP Oxford this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-05-30 with Mathematics categories.


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.



Numbers A Very Short Introduction


Numbers A Very Short Introduction
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Author : Peter M. Higgins
language : en
Publisher: Oxford University Press
Release Date : 2011-02-24

Numbers A Very Short Introduction written by Peter M. Higgins and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-02-24 with Mathematics categories.


In this Very Short Introduction Peter M. Higgins presents an overview of the number types featured in modern science and mathematics. Providing a non-technical account, he explores the evolution of the modern number system, examines the fascinating role of primes, and explains their role in contemporary cryptography.



Fractals A Very Short Introduction


Fractals A Very Short Introduction
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Author : Kenneth Falconer
language : en
Publisher: OUP Oxford
Release Date : 2013-09-26

Fractals A Very Short Introduction written by Kenneth Falconer and has been published by OUP Oxford this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-09-26 with Mathematics categories.


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.



Game Theory A Very Short Introduction


Game Theory A Very Short Introduction
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Author : Ken Binmore
language : en
Publisher: Oxford University Press
Release Date : 2007-10-25

Game Theory A Very Short Introduction written by Ken Binmore and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-10-25 with Business & Economics categories.


Games are played everywhere: from economics to evolutionary biology, and from social interactions to online auctions. This title shows how to play such games in a rational way, and how to maximize their outcomes.



Time A Very Short Introduction


Time A Very Short Introduction
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Author : Jenann Ismael
language : en
Publisher: Oxford University Press
Release Date : 2021-10-28

Time A Very Short Introduction written by Jenann Ismael and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-10-28 with Science categories.


What is time? What does it mean for time to pass? Is it possible to travel in time? What is the difference between the past and future? Until the work of Newton, these questions were purely topics of philosophical speculation. Since then we've learned a great deal about time, and its study has moved from a subject of philosophical reflection to instead became part of the subject matter of physics. This Very Short Introduction introduces readers to the current physical understanding of the direction of time, from the Second Law of Thermodynamics to the emergence of complexity and life. Jenann Ismael charts the line of development in physical theory from Newton, via Einstein's Theory of Relativity, to the current day. Einstein's innovations led to a vision of time very different from the familiar time of everyday sense. In this new vision, time is one of the dimensions in which the universe is extended alongside the spatial dimensions. The universe appears as a static block of events, in which there is no more a difference between past and future than there is between east and west. Discussing the controversy and philosophical confusion which surrounded the reception of this new vision, Ismael also covers the contemporary mixture of statistical mechanics, cognitive science, and phenomenology that point the way to reconciling the familiar time of everyday sense with the vision of time presented in Einstein's theories. Very Short Introductions: Brilliant, Sharp, Inspiring 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.



Basics Box


Basics Box
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Author : Oxford
language : en
Publisher:
Release Date : 2006-11

Basics Box written by Oxford and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11 with History categories.


Books that are perfect to pop in your pocket now packaged to make the ideal gift!Five of the best-selling introductory books from the highly acclaimed Very Short Introductions series packaged in a stylish case to make the ideal gift or way-in to five of the most important subjects.This boxed set gives a great introduction to five key subjects: politics, mathematics, philosophy, psychology, and history.Philosophy: A Very Short Introduction by Edward CraigISBN-10: 0-19-285421-6/ ISBN-13 978-0-19-285421-6'[The Very Short Introduction to Philosophy] shows that philosophy really can be fascinating, broad-minded and full of surprise. As a means of stimulating interest in the subject it has few rivals.' Julian Baggini, The Philosopher's MagazineMathematics: A Very Short Introduction by Timothy GowersISBN-10: 0-19-285361-9/ ISBN-13 978-0-19-285361-5'a marvellously lucid guide to the beauty and mystery of numbers' Gilbert AdairThis book explains, carefully but not technically, the differences between advanced, research-level mathematics, and the sort of mathematics we learn at school. The most fundamental differences are philosophical, and readers of this book will emerge with a clearer understanding ofparadoxical-sounding concepts such as infinity, curved space, and imaginary numbers.History: A Very Short Introduction by John ArnoldISBN-10: 0-19-285352-X/ ISBN-13 978-0-19-285352-3The book begins by inviting us to think about various questions provoked by our investigation of history, and explores the ways these questions have been answered in the past. Concepts such as causation, interpretation, and periodization, are introduced by means of concrete examples of howhistorians work, to give a sense of the excitement of discovering not only the past, but also ourselves.Politics: A Very Short Introduction by Kenneth Minogue ISBN-10: 0-19-285388-0/ ISBN-13: 978-0-19-285388-2In this provocative but balanced essay, Kenneth Minogue discusses the development of politics from the ancient world to the twentieth century. He prompts us to consider why political systems evolve, how politics offers both power and order in our society, whether democracy is always a good thing,and what future politics may have in the twenty-first century.Psychology: A Very Short Introduction by Gilian Butler and Freda McManusISBN-10: 0-19-285381-3/ ISBN-13: 978-0-19-285381-3Psychology is part of everyone's experience: it influences the way we think about everything from education and intelligence, to relationships and emotions, advertising and criminality. But what exactly are psychologists trying to do? This book provides an understanding of some of psychology'sleading ideas and their practical relevance, making it a stimulating introduction for anyone interested in understanding the human mind.



Quantum Theory A Very Short Introduction


Quantum Theory A Very Short Introduction
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Author : John Polkinghorne
language : en
Publisher: OUP Oxford
Release Date : 2002-05-30

Quantum Theory A Very Short Introduction written by John Polkinghorne and has been published by OUP Oxford this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-05-30 with Science categories.


Quantum Theory is the most revolutionary discovery in physics since Newton. This book gives a lucid, exciting, and accessible account of the surprising and counterintuitive ideas that shape our understanding of the sub-atomic world. It does not disguise the problems of interpretation that still remain unsettled 75 years after the initial discoveries. The main text makes no use of equations, but there is a Mathematical Appendix for those desiring stronger fare. Uncertainty, probabilistic physics, complementarity, the problematic character of measurement, and decoherence are among the many topics discussed. 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.