Numbers A Very Short Introduction

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Number Theory

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Author : Robin Wilson
language : en
Publisher: Oxford University Press
Release Date : 2020-05-28

Number Theory written by Robin Wilson 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 2020-05-28 with Mathematics categories.

Number theory is the branch of mathematics that is primarily concerned with the counting numbers. Of particular importance are the prime numbers, the 'building blocks' of our number system. The subject is an old one, dating back over two millennia to the ancient Greeks, and for many years has been studied for its intrinsic beauty and elegance, not least because several of its challenges are so easy to state that everyone can understand them, and yet no-one has ever been able to resolve them. But number theory has also recently become of great practical importance - in the area of cryptography, where the security of your credit card, and indeed of the nation's defence, depends on a result concerning prime numbers that dates back to the 18th century. Recent years have witnessed other spectacular developments, such as Andrew Wiles's proof of 'Fermat's last theorem' (unproved for over 250 years) and some exciting work on prime numbers. In this Very Short Introduction Robin Wilson introduces the main areas of classical number theory, both ancient and modern. Drawing on the work of many of the greatest mathematicians of the past, such as Euclid, Fermat, Euler, and Gauss, he situates some of the most interesting and creative problems in the area in their 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.

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.

Number Theory A Very Short Introduction

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Author : Robin Wilson
language : en
Publisher: Oxford University Press
Release Date : 2020-05-28

Number Theory A Very Short Introduction written by Robin Wilson 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 2020-05-28 with Mathematics categories.

Number theory is the branch of mathematics that is primarily concerned with the counting numbers. Of particular importance are the prime numbers, the 'building blocks' of our number system. The subject is an old one, dating back over two millennia to the ancient Greeks, and for many years has been studied for its intrinsic beauty and elegance, not least because several of its challenges are so easy to state that everyone can understand them, and yet no-one has ever been able to resolve them. But number theory has also recently become of great practical importance - in the area of cryptography, where the security of your credit card, and indeed of the nation's defence, depends on a result concerning prime numbers that dates back to the 18th century. Recent years have witnessed other spectacular developments, such as Andrew Wiles's proof of 'Fermat's last theorem' (unproved for over 250 years) and some exciting work on prime numbers. In this Very Short Introduction Robin Wilson introduces the main areas of classical number theory, both ancient and modern. Drawing on the work of many of the greatest mathematicians of the past, such as Euclid, Fermat, Euler, and Gauss, he situates some of the most interesting and creative problems in the area in their 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.

Analytic Philosophy A Very Short Introduction

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Author : Michael Beaney
language : en
Publisher: Oxford University Press
Release Date : 2017-11-16

Analytic Philosophy A Very Short Introduction written by Michael Beaney 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 2017-11-16 with Philosophy categories.

Originating in the pioneering work of Gottlob Frege, Bertrand Russell, G. E. Moore, and Ludwig Wittgenstein in the four decades around the turn of the twentieth century, analytic philosophy established itself in various forms in the 1930s. After the Second World War, it developed further in North America, in the rest of Europe, and is now growing in influence as the dominant philosophical tradition right across the world, from Latin America to East Asia. In this Very Short Introduction Michael Beaney introduces some of the key ideas of the founders of analytic philosophy by exploring certain fundamental philosophical questions and showing how those ideas can be used in offering answers. Considering the work of Susan Stebbing, he also explores the application of analytic philosophy to critical thinking, and emphasizes the conceptual creativity that lies at the heart of fruitful analysis. Throughout, Beaney illustrates why clarity of thinking, precision of expression, and rigour of argumentation are rightly seen as virtues of analytic philosophy. 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.

Probability A Very Short Introduction

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Author : John Haigh
language : en
Publisher: Oxford University Press
Release Date : 2012-04-26

Probability A Very Short Introduction written by John Haigh 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 2012-04-26 with Mathematics categories.

Making good decisions under conditions of uncertainty requires an appreciation of the way random chance works. In this Very Short Introduction, John Haigh provides a brief account of probability theory; explaining the philosophical approaches, discussing probability distributions, and looking its applications in science and economics.

Numbers

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Author : Peter M. Higgins
language : en
Publisher:
Release Date : 2011

Numbers written by Peter M. Higgins and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Number theory categories.

Numbers are integral to our everyday lives and feature in everything we do. In this 'Very Short Introduction' Peter Higgins, the renowned mathematics writer, unravels the world of numbers; demonstrating its richness, and providing a comprehensive view of the idea of the number.

Statistics A Very Short Introduction

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Author : David J. Hand
language : en
Publisher: Oxford University Press
Release Date : 2008-10-23

Statistics A Very Short Introduction written by David J. Hand 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 2008-10-23 with Mathematics categories.

Statistics has evolved into an exciting discipline which uses deep theory and powerful software to shed light on the world around us: from clinical trials in medicine, to economics, sociology, and countless other subjects vital to understanding modern life. This Very Short Introduction explores and explains how statistics works today.

Russell A Very Short Introduction

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Author : A. C. Grayling
language : en
Publisher: Oxford University Press
Release Date : 2002-02-21

Russell A Very Short Introduction written by A. C. Grayling 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 2002-02-21 with Biography & Autobiography categories.

Bertrand Russell (1872-1970) is one of the most famous and important philosophers of the twentieth century. In this account of his life and work A.C. Grayling introduces both his technical contributions to logic and philosophy, and his wide-ranging views on education, politics, war, and sexual morality. Russell is credited with being one of the prime movers of Analytic Philosophy, and with having played a part in the revolution in social attitudes witnessed throughout the twentieth-century world. This introduction gives a clear survey of Russell's achievements across their whole range. 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.

Cryptography A Very Short Introduction

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Author : Fred Piper
language : en
Publisher: Oxford Paperbacks
Release Date : 2002-05-30

Cryptography A Very Short Introduction written by Fred Piper and has been published by Oxford Paperbacks this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-05-30 with Computers categories.

A clear and informative introduction to the science of codebreaking, explaining what algorithms do, how they are used, the risks associated with using them, and why governments should be concerned.

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.