Number Theory

Author: Robin Wilson
Publisher: Oxford University Press, USA
ISBN: 0198798091
Category : Mathematics
Languages : en
Pages : 177

Book Description
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

Author: Peter M. Higgins
Publisher: Oxford University Press
ISBN: 0199584052
Category : Mathematics
Languages : en
Pages : 153

Book Description
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.

Mathematics: A Very Short Introduction

Author: Timothy Gowers
Publisher: Oxford Paperbacks
ISBN: 9780192853615
Category : Mathematics
Languages : en
Pages : 172

Book Description
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.

Number Theory and Its History

Author: Oystein Ore
Publisher: Courier Corporation
ISBN: 0486136434
Category : Mathematics
Languages : en
Pages : 404

Book Description
Unusually clear, accessible introduction covers counting, properties of numbers, prime numbers, Aliquot parts, Diophantine problems, congruences, much more. Bibliography.

Game Theory: A Very Short Introduction

Author: K. G. Binmore
Publisher: Oxford University Press, USA
ISBN: 0199218463
Category : Business & Economics
Languages : en
Pages : 201

Book Description
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.

Combinatorics: A Very Short Introduction

Author: Robin Wilson
Publisher: Oxford University Press
ISBN: 0191035254
Category : Mathematics
Languages : en
Pages : 144

Book Description
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

Author: Michael Allingham
Publisher: OUP Oxford
ISBN: 0191579262
Category : Business & Economics
Languages : en
Pages : 144

Book Description
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.

Critical Theory: A Very Short Introduction

Author: Stephen Eric Bronner
Publisher: Oxford University Press
ISBN: 0190692693
Category : Philosophy
Languages : en
Pages : 161

Book Description
Critical theory emerged in the 1920s from the work of the Frankfurt School, the circle of German-Jewish academics who sought to diagnose -- and, if at all possible, cure -- the ills of society, particularly fascism and capitalism. In this book, Stephen Eric Bronner provides sketches of leading representatives of the critical tradition (such as George Lukács and Ernst Bloch, Theodor Adorno and Walter Benjamin, Herbert Marcuse and Jurgen Habermas) as well as many of its seminal texts and empirical investigations. This Very Short Introduction sheds light on the cluster of concepts and themes that set critical theory apart from its more traditional philosophical competitors. Bronner explains and discusses concepts such as method and agency, alienation and reification, the culture industry and repressive tolerance, non-identity and utopia. He argues for the introduction of new categories and perspectives for illuminating the obstacles to progressive change and focusing upon hidden transformative possibilities. In this newly updated second edition, Bronner targets new academic interests, broadens his argument, and adapts it to a global society amid the resurgence of right-wing politics and neo-fascist movements.

Quantum Theory: A Very Short Introduction

Author: John Polkinghorne
Publisher: OUP Oxford
ISBN: 0191577677
Category : Science
Languages : en
Pages : 145

Book Description
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.

Topology

Author: Richard Earl
Publisher: Oxford University Press, USA
ISBN: 0198832680
Category : MATHEMATICS
Languages : en
Pages : 169

Book Description
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.