Numbers: A Very Short Introduction

Numbers: A Very Short Introduction
Author: Peter M. Higgins
Publisher: OUP Oxford
Total Pages: 152
Release: 2011-02-24
Genre: Mathematics
ISBN: 0199584052

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

Number Theory
Author: Robin Wilson
Publisher: Oxford University Press, USA
Total 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.

Mathematics: A Very Short Introduction

Mathematics: A Very Short Introduction
Author: Timothy Gowers
Publisher: Oxford Paperbacks
Total 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.

Game Theory: A Very Short Introduction

Game Theory: A Very Short Introduction
Author: K. G. Binmore
Publisher: Oxford University Press, USA
Total Pages: 201
Release: 2007-10-25
Genre: Business & Economics
ISBN: 0199218463

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.

Film Music: A Very Short Introduction

Film Music: A Very Short Introduction
Author: Kathryn Kalinak
Publisher: Oxford University Press
Total Pages: 162
Release: 2010-03-11
Genre: Performing Arts
ISBN: 0199707979

Film music is as old as cinema itself. Years before synchronized sound became the norm, projected moving images were shown to musical accompaniment, whether performed by a lone piano player or a hundred-piece orchestra. Today film music has become its own industry, indispensable to the marketability of movies around the world. Film Music: A Very Short Introduction is a compact, lucid, and thoroughly engaging overview written by one of the leading authorities on the subject. After opening with a fascinating analysis of the music from a key sequence in Quentin Tarantino's Reservoir Dogs, Kathryn Kalinak introduces readers not only to important composers and musical styles but also to modern theoretical concepts about how and why film music works. Throughout the book she embraces a global perspective, examining film music in Asia and the Middle East as well as in Europe and the United States. Key collaborations between directors and composers--Alfred Hitchcock and Bernard Herrmann, Akira Kurosawa and Fumio Hayasaka, Federico Fellini and Nino Rota, to name only a few--come under scrutiny, as do the oft-neglected practices of the silent film era. She also explores differences between original film scores and compilation soundtracks that cull music from pre-existing sources. As Kalinak points out, film music can do many things, from establishing mood and setting to clarifying plot points and creating emotions that are only dimly realized in the images. This book illuminates the many ways it accomplishes those tasks and will have its readers thinking a bit more deeply and critically the next time they sit in a darkened movie theater and music suddenly swells as the action unfolds onscreen. About the Series: Combining authority with wit, accessibility, and style, Very Short Introductions offer an introduction to some of life's most interesting topics. Written by experts for the newcomer, they demonstrate the finest contemporary thinking about the central problems and issues in hundreds of key topics, from philosophy to Freud, quantum theory to Islam.

Combinatorics: A Very Short Introduction

Combinatorics: A Very Short Introduction
Author: Robin Wilson
Publisher: Oxford University Press
Total Pages: 144
Release: 2016-04-28
Genre: Mathematics
ISBN: 0191035254

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.

Algebra: A Very Short Introduction

Algebra: A Very Short Introduction
Author: Peter M. Higgins
Publisher: OUP Oxford
Total Pages: 161
Release: 2015-10-22
Genre: Mathematics
ISBN: 0191047465

Algebra marked the beginning of modern mathematics, moving it beyond arithmetic, which involves calculations featuring given numbers, to problems where some quantities are unknown. Now, it stands as a pillar of mathematics, underpinning the quantitative sciences, both social and physical. This Very Short Introduction explains algebra from scratch. Over the course of ten logical chapters, Higgins offers a step by step approach for readers keen on developing their understanding of algebra. Using theory and example, he renews the reader's aquaintance with school mathematics, before taking them progressively further and deeper into the subject. 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

Choice Theory: A Very Short Introduction
Author: Michael Allingham
Publisher: OUP Oxford
Total 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.

Infinity

Infinity
Author: Ian Stewart
Publisher: Oxford University Press
Total Pages: 161
Release: 2017
Genre: Mathematics
ISBN: 0198755236

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.

Symmetry: A Very Short Introduction

Symmetry: A Very Short Introduction
Author: Ian Stewart
Publisher: OUP Oxford
Total Pages: 161
Release: 2013-05-30
Genre: Mathematics
ISBN: 0191652741

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.