Author: Peter M. Higgins Publisher: OUP Oxford ISBN: 0199584052 Category : Mathematics Languages : en Pages : 152
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.
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.
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.
Author: Robin Wilson Publisher: Oxford University Press ISBN: 0192519069 Category : Mathematics Languages : en Pages : 177
Book Description
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.
Author: Andrew Robinson Publisher: Oxford University Press ISBN: 0199567786 Category : History Languages : en Pages : 177
Book Description
"Starting with the origins of writing five thousand years ago, with cuneiform and Egyptian hieroglyphs, Andrew Robinson explains how these early forms of writing developed into hundreds of scripts including the Roman alphabet and the Chinese characters. He reveals how the modern writing system we take for granted - including airport signage and electronic text messaging - resemble ancient scripts much more closely than we think." --Book Jacket.
Author: Robin J. Wilson Publisher: Oxford University Press ISBN: 0198723490 Category : Combinatorial analysis Languages : en Pages : 177
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.
Author: Peter M. Higgins Publisher: OUP Oxford ISBN: 0191047465 Category : Mathematics Languages : en Pages : 161
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.
Author: Ian Stewart Publisher: Oxford University Press ISBN: 0198755236 Category : Mathematics Languages : en Pages : 161
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.
Author: Kathryn Kalinak Publisher: Oxford University Press ISBN: 0199707979 Category : Performing Arts Languages : en Pages : 162
Book Description
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.
Author: David J. Hand Publisher: Oxford University Press ISBN: 019923356X Category : Mathematics Languages : en Pages : 137
Book Description
Statistics has evolved into an exciting discipline which uses deep theory and powerful software to shed light on the world around us: from clinical trials in medicine, to economics, sociology, and countless other subjects vital to understanding modern life. This Very Short Introduction explores and explains how statistics works today.
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Author: Peter M. Higgins
Author: Robin Wilson
Author: Timothy Gowers
Author: Robin Wilson
Author: Andrew Robinson
Author: Robin J. Wilson
Author: Peter M. Higgins
Author: Ian Stewart
Author: Kathryn Kalinak
Author: David J. Hand