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Number Theory A Very Short Introduction
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Download or read book Number Theory written by Robin Wilson and published by Oxford University Press, USA. This book was released on 2020 with total page 177 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Numbers: A Very Short Introduction by : Peter M. Higgins
Download or read book Numbers: A Very Short Introduction written by Peter M. Higgins and published by OUP Oxford. This book was released on 2011-02-24 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numbers are integral to our everyday lives and feature in everything we do. In this Very Short Introduction Peter M. Higgins, the renowned mathematics writer, unravels the world of numbers; demonstrating its richness, and providing a comprehensive view of the idea of the number. Higgins paints a picture of the number world, considering how the modern number system matured over centuries. Explaining the various number types and showing how they behave, he introduces key concepts such as integers, fractions, real numbers, and imaginary numbers. By approaching the topic in a non-technical way and emphasising the basic principles and interactions of numbers with mathematics and science, Higgins also demonstrates the practical interactions and modern applications, such as encryption of confidential data on the internet. 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.
Book Synopsis Mathematics: A Very Short Introduction by : Timothy Gowers
Download or read book Mathematics: A Very Short Introduction written by Timothy Gowers and published by Oxford Paperbacks. This book was released on 2002-08-22 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Critical Theory by : Stephen Eric Bronner
Download or read book Critical Theory written by Stephen Eric Bronner and published by Oxford University Press. This book was released on 2017 with total page 161 pages. Available in PDF, EPUB and Kindle. Book excerpt: Preface -- Introduction: what is critical theory? -- The frankfurt school -- A matter of method -- Critical theory and modernism -- Alienation and reification -- Enlightened illusions -- The utopian laboratory -- The happy consciousness -- The great refusal -- From resignation to renewal -- Unfinished tasks -- Further reading -- Index
Book Synopsis An Adventurer's Guide to Number Theory by : Richard Friedberg
Download or read book An Adventurer's Guide to Number Theory written by Richard Friedberg and published by Courier Corporation. This book was released on 2012-07-06 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: This witty introduction to number theory deals with the properties of numbers and numbers as abstract concepts. Topics include primes, divisibility, quadratic forms, and related theorems.
Download or read book Combinatorics written by Robin J. Wilson and published by Oxford University Press. This book was released on 2016 with total page 177 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Choice Theory: A Very Short Introduction by : Michael Allingham
Download or read book Choice Theory: A Very Short Introduction written by Michael Allingham and published by OUP Oxford. This book was released on 2002-08-22 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt: We make choices all the time - about trivial matters, about how to spend our money, about how to spend our time, about what to do with our lives. And we are also constantly judging the decisions other people make as rational or irrational. But what kind of criteria are we applying when we say that a choice is rational? What guides our own choices, especially in cases where we don't have complete information about the outcomes? What strategies should be applied in making decisions which affect a lot of people, as in the case of government policy? This book explores what it means to be rational in all these contexts. It introduces ideas from economics, philosophy, and other areas, showing how the theory applies to decisions in everyday life, and to particular situations such as gambling and the allocation of resources. 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.
Book Synopsis Analytic Number Theory by : Richard Bellman
Download or read book Analytic Number Theory written by Richard Bellman and published by Benjamin-Cummings Publishing Company. This book was released on 1980 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Quantum Theory: A Very Short Introduction by : John Polkinghorne
Download or read book Quantum Theory: A Very Short Introduction written by John Polkinghorne and published by OUP Oxford. This book was released on 2002-05-30 with total page 145 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Topology written by Richard Earl and published by Oxford University Press, USA. This book was released on 2020-01-11 with total page 169 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Information: A Very Short Introduction by : Luciano Floridi
Download or read book Information: A Very Short Introduction written by Luciano Floridi and published by Oxford University Press. This book was released on 2010-02-25 with total page 153 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction; 1 The information revolution; 2 The language of information; 3 Mathematical information; 4 Semantic information; 5 Physical information; 6 Biological information; 7 Economic information; 8 The ethics of information; Conclusion; References.
Download or read book Infinity written by Ian Stewart and published by Oxford University Press. This book was released on 2017 with total page 161 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ian Stewart considers the concept of infinity and the profound role it plays in mathematics, logic, physics, cosmology, and philosophy. He shows that working with infinity is not just an abstract, intellectual exercise, and analyses its important practical everyday applications.
Book Synopsis Number Theory: A Very Short Introduction by : Robin Wilson
Download or read book Number Theory: A Very Short Introduction written by Robin Wilson and published by Oxford University Press. This book was released on 2020-05-28 with total page 177 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Game Theory: A Very Short Introduction by : K. G. Binmore
Download or read book Game Theory: A Very Short Introduction written by K. G. Binmore and published by Oxford University Press, USA. This book was released on 2007-10-25 with total page 201 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Chaos written by Leonard Smith and published by Oxford University Press, USA. This book was released on 2007-02-22 with total page 201 pages. Available in PDF, EPUB and Kindle. Book excerpt: Chaos exists in systems all around us. This introduction draws in philosophy, literature, and maths to explain Chaos Theory, showing the variety of its applications in the real world, from technology to global warming, politics, and even gambling on the stock market.
Book Synopsis Particle Physics: a Very Short Introduction by : Frank Close
Download or read book Particle Physics: a Very Short Introduction written by Frank Close and published by Oxford University Press. This book was released on 2023-11-23 with total page 177 pages. Available in PDF, EPUB and Kindle. Book excerpt: Following the discovery of the Higgs boson, Frank Close has produced this major revision to his classic and compelling introduction to the fundamental particles that make up the universe.
Book Synopsis Probability: A Very Short Introduction by : John Haigh
Download or read book Probability: A Very Short Introduction written by John Haigh and published by OUP Oxford. This book was released on 2012-04-26 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt: Making good decisions under conditions of uncertainty - which is the norm - requires a sound appreciation of the way random chance works. As analysis and modelling of most aspects of the world, and all measurement, are necessarily imprecise and involve uncertainties of varying degrees, the understanding and management of probabilities is central to much work in the sciences and economics. In this Very Short Introduction, John Haigh introduces the ideas of probability and different philosophical approaches to probability, and gives a brief account of the history of development of probability theory, from Galileo and Pascal to Bayes, Laplace, Poisson, and Markov. He describes the basic probability distributions, and goes on to discuss a wide range of applications in science, economics, and a variety of other contexts such as games and betting. He concludes with an intriguing discussion of coincidences and some curious paradoxes. 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.