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The History of Mathematics: A Very Short Introduction

The History of Mathematics: A Very Short Introduction
Author: Jacqueline Stedall
Publisher: Oxford University Press
Total Pages: 145
Release: 2012-02-23
Genre: Mathematics
ISBN: 0199599688

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In this Very Short Introduction, Jacqueline Stedall explores the rich historical and cultural diversity of mathematical endeavour from the distant past to the present day, using illustrative case studies drawn from a range of times and places; including early imperial China, the medieval Islamic world, and nineteenth-century Britain.


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

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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.


Applied Mathematics: A Very Short Introduction

Applied Mathematics: A Very Short Introduction
Author: Alain Goriely
Publisher: Oxford University Press
Total Pages: 169
Release: 2018-02-13
Genre: Mathematics
ISBN: 0191068888

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Mathematics is playing an increasing important role in society and the sciences, enhancing our ability to use models and handle data. While pure mathematics is mostly interested in abstract structures, applied mathematics sits at the interface between this abstract world and the world in which we live. This area of mathematics takes its nourishment from society and science and, in turn, provides a unified way to understand problems arising in diverse fields. This Very Short Introduction presents a compact yet comprehensive view of the field of applied mathematics, and explores its relationships with (pure) mathematics, science, and engineering. Explaining the nature of applied mathematics, Alain Goriely discusses its early achievements in physics and engineering, and its development as a separate field after World War II. Using historical examples, current applications, and challenges, Goriely illustrates the particular role that mathematics plays in the modern sciences today and its far-reaching potential. 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.


Symmetry: A Very Short Introduction

Symmetry: A Very Short Introduction
Author: Ian Stewart
Publisher: OUP Oxford
Total Pages: 152
Release: 2013-05-30
Genre: Mathematics
ISBN: 0191652741

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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.


Art History: A Very Short Introduction

Art History: A Very Short Introduction
Author: Dana Arnold
Publisher: OUP Oxford
Total Pages: 158
Release: 2004-01-22
Genre: Art
ISBN: 0191577596

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This clear and concise new introduction examines all the major debates and issues using a wide range of well-known examples. It discusses the challenge of using verbal and written language to analyse a visual form. Dana Arnold also examines the many different ways of writing about art, and the changing boundaries of the subject of art history. Topics covered include the canon of Art History, the role of the gallery, 'blockbuster' exhibitions, the emergence of social histories of art (Feminist Art History or Queer Art History, for example), the impact of photography, and the development of Art History using artefacts such as the altarpiece, the portrait, or pornography, to explore social and cultural issues such as consumption, taste, religion, and politics. Importantly, this book explains how the traditional emphasis on periods and styles originates in western art production and can obscure other critical approaches, as well as art from non western cultures. 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.


Number Theory: A Very Short Introduction

Number Theory: A Very Short Introduction
Author: Robin Wilson
Publisher: Oxford University Press
Total Pages: 177
Release: 2020-05-28
Genre: Mathematics
ISBN: 0192519069

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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.


History: A Very Short Introduction

History: A Very Short Introduction
Author: John Arnold
Publisher: Oxford Paperbacks
Total Pages: 152
Release: 2000-02-24
Genre: History
ISBN: 019285352X

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Starting with an examination of how historians work, this "Very Short Introduction" aims to explore history in a general, pithy, and accessible manner, rather than to delve into specific periods.


Mathematical Finance

Mathematical Finance
Author: Mark H. A. Davis
Publisher: Oxford University Press, USA
Total Pages: 161
Release: 2019
Genre: BUSINESS & ECONOMICS
ISBN: 0198787944

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Now a vital part of modern economies, the rapid growth of the finance industry in recent decades is largely due to the development of mathematical methods such as the theory of arbitrage. Asset valuation, credit trading, and fund management, now depend on these mathematical tools. Mark Davis explains the theories and their applications.


Number Theory and Its History

Number Theory and Its History
Author: Oystein Ore
Publisher: Courier Corporation
Total Pages: 400
Release: 2012-07-06
Genre: Mathematics
ISBN: 0486136434

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


Fractals: A Very Short Introduction

Fractals: A Very Short Introduction
Author: Kenneth Falconer
Publisher: OUP Oxford
Total Pages: 144
Release: 2013-09-26
Genre: Mathematics
ISBN: 0191663441

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Many are familiar with the beauty and ubiquity of fractal forms within nature. Unlike the study of smooth forms such as spheres, fractal geometry describes more familiar shapes and patterns, such as the complex contours of coastlines, the outlines of clouds, and the branching of trees. In this Very Short Introduction, Kenneth Falconer looks at the roots of the 'fractal revolution' that occurred in mathematics in the 20th century, presents the 'new geometry' of fractals, explains the basic concepts, and explores the wide range of applications in science, and in aspects of economics. This is essential introductory reading for students of mathematics and science, and those interested in popular science and mathematics. 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.