Numbers: A Very Short Introduction


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.




Numbers: A Very Short Introduction


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.




Number Theory


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.




Mathematics: A Very Short Introduction


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.




Game Theory: A Very Short Introduction


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.




Film Music: a Very Short Introduction


Book Description

"Film Music: A Very Short Introduction focuses on the most central issues in the practice of film music. What is film music? How is it composed? How does film music work? Why does film music work? The rich and deeply moving sounds of film music are as old as cinema. The very first projected moving images were accompanied by music around the globe as a variety of performers-from single piano players to small orchestras-brought images to life. Film music has since become its own industry, an aesthetic platform for expressing creative visions, and a commercial vehicle for generating increased revenue. The second edition updates coverage to 2022 and includes attention to recent developments in global film music, women in film music, and African -American and minority composers"--




Infinity


Book Description

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.




Combinatorics


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.




Critical Theory: A Very Short Introduction


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.




Algebra: A Very Short Introduction


Book Description

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.