Number Theory
Title | Number Theory PDF eBook |
Author | Robin Wilson |
Publisher | Oxford University Press, USA |
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.
Numbers: A Very Short Introduction
Title | Numbers: A Very Short Introduction PDF eBook |
Author | Peter M. Higgins |
Publisher | OUP Oxford |
Pages | 152 |
Release | 2011-02-24 |
Genre | Mathematics |
ISBN | 0191614963 |
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.
Mathematics: A Very Short Introduction
Title | Mathematics: A Very Short Introduction PDF eBook |
Author | Timothy Gowers |
Publisher | Oxford Paperbacks |
Pages | 172 |
Release | 2002-08-22 |
Genre | Mathematics |
ISBN | 9780192853615 |
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.
Critical Theory
Title | Critical Theory PDF eBook |
Author | Stephen Eric Bronner |
Publisher | Oxford University Press |
Pages | 161 |
Release | 2017 |
Genre | Literary Criticism |
ISBN | 0190692677 |
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
An Adventurer's Guide to Number Theory
Title | An Adventurer's Guide to Number Theory PDF eBook |
Author | Richard Friedberg |
Publisher | Courier Corporation |
Pages | 241 |
Release | 2012-07-06 |
Genre | Mathematics |
ISBN | 0486152693 |
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.
Combinatorics
Title | Combinatorics PDF eBook |
Author | Robin J. Wilson |
Publisher | Oxford University Press |
Pages | 177 |
Release | 2016 |
Genre | Combinatorial analysis |
ISBN | 0198723490 |
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.
Choice Theory: A Very Short Introduction
Title | Choice Theory: A Very Short Introduction PDF eBook |
Author | Michael Allingham |
Publisher | OUP Oxford |
Pages | 144 |
Release | 2002-08-22 |
Genre | Business & Economics |
ISBN | 0191579262 |
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.