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Applied Mathematics: A Very Short Introduction
http://www.veryshortintroductions.com/view/10.1093/actrade/9780198754046.001.0001/actrade-9780198754046
<table><tr><td width="200px"><img width="150px" src="http://www.veryshortintroductions.com/view/covers/9780198754046.png" alt="Applied Mathematics: A Very Short Introduction"/><br/></td><td><dl><dt>Author:</dt><dd>Alain Goriely</dd><dt>ISBN:</dt><dd>9780198754046</dd><dt>Publisher:</dt><dd>Oxford University Press</dd><dt>Subjects:</dt><dd>Science and Mathematics, Mathematics, Applied Mathematics</dd><dt>DOI:</dt><dd>10.1093/actrade/9780198754046.001.0001</dd><dt>Published in print:</dt><dd>2018</dd><dt>Published Online:</dt><dd>2018-02-22</dd></dl></td></tr></table><p>
Mathematics is playing an increasingly important role in society and the sciences, enhancing our ability to use models and handle data. Applied Mathematics: A Very Short Introduction introduces the field of applied mathematics and explores its relationships with pure mathematics, science, and engineering. Explaining the nature of applied mathematics, it 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, this VSI illustrates the particular role that mathematics plays in the modern sciences today and its far-reaching potential.
</p>Alain Goriely2018-02-22Cryptography: A Very Short Introduction
http://www.veryshortintroductions.com/view/10.1093/actrade/9780192803153.001.0001/actrade-9780192803153
<table><tr><td width="200px"><img width="150px" src="http://www.veryshortintroductions.com/view/covers/9780192803153.png" alt="Cryptography: A Very Short Introduction"/><br/></td><td><dl><dt>Author:</dt><dd>Fred Piper, Sean Murphy</dd><dt>ISBN:</dt><dd>9780192803153</dd><dt>Publisher:</dt><dd>Oxford University Press</dd><dt>Subjects:</dt><dd>Science and Mathematics, Mathematics, Applied Mathematics</dd><dt>DOI:</dt><dd>10.1093/actrade/9780192803153.001.0001</dd><dt>Published in print:</dt><dd>2002</dd><dt>Published Online:</dt><dd>2013-09-24</dd></dl></td></tr></table><p>
Cryptography: A Very Short Introduction provides a clear and informative introduction to cryptography and data protection — subjects of considerable social and political importance. It explains what algorithms do, how they are used, the risks associated with using them, and why governments should be concerned. Important areas are highlighted, such as Stream Ciphers, block ciphers, public key algorithms, digital signatures, and applications such as e-commerce. This VSI highlights the explosive impact of cryptography on modern society, with, for example, the evolution of the internet and the introduction of more sophisticated banking methods.
</p>Fred Piper and Sean Murphy2013-09-24Mathematics: A Very Short Introduction
http://www.veryshortintroductions.com/view/10.1093/actrade/9780192853615.001.0001/actrade-9780192853615
<table><tr><td width="200px"><img width="150px" src="http://www.veryshortintroductions.com/view/covers/9780192853615.png" alt="Mathematics: A Very Short Introduction"/><br/></td><td><dl><dt>Author:</dt><dd>Timothy Gowers</dd><dt>ISBN:</dt><dd>9780192853615</dd><dt>Publisher:</dt><dd>Oxford University Press</dd><dt>Subjects:</dt><dd>Science and Mathematics, Mathematics</dd><dt>DOI:</dt><dd>10.1093/actrade/9780192853615.001.0001</dd><dt>Published in print:</dt><dd>2002</dd><dt>Published Online:</dt><dd>2013-09-24</dd></dl></td></tr></table><p>
The aim of Mathematics: A Very Short Introduction is to explain, carefully but not technically, the differences between advanced, research-level mathematics, and the sort of mathematics we learn at school. It offers readers an insight into such seemingly paradoxical concepts as infinity, imaginary numbers, and curved space. The first few chapters are concerned with general aspects of mathematical thought and are followed by chapters on more specific topics such as limits and infinity, dimension, geometry, and estimates and approximations. It concludes with some answers to common sociological questions about the mathematical community.
</p>Timothy Gowers2013-09-24Networks: A Very Short Introduction
http://www.veryshortintroductions.com/view/10.1093/actrade/9780199588077.001.0001/actrade-9780199588077
<table><tr><td width="200px"><img width="150px" src="http://www.veryshortintroductions.com/view/covers/9780199588077.png" alt="Networks: A Very Short Introduction"/><br/></td><td><dl><dt>Author:</dt><dd>Guido Caldarelli, Michele Catanzaro</dd><dt>ISBN:</dt><dd>9780199588077</dd><dt>Publisher:</dt><dd>Oxford University Press</dd><dt>Subjects:</dt><dd>Science and Mathematics, Mathematics, Pure Mathematics</dd><dt>DOI:</dt><dd>10.1093/actrade/9780199588077.001.0001</dd><dt>Published in print:</dt><dd>2012</dd><dt>Published Online:</dt><dd>2013-09-24</dd></dl></td></tr></table><p>
Networks: A Very Short Introduction considers the basic elements of network theory and its applications using everyday examples from society, technology, nature, and history. It is impossible to understand the spread of an epidemic, a computer virus, large-scale blackouts, or massive extinctions without taking into account the network structure that underlies all these phenomena. The ubiquitous role of networks; how networks self-organize; why the rich get richer; and how networks can spontaneously collapse are all considered. The findings of complex network theory have very wide and important applications in genetics, ecology, communications, economics, and sociology.
</p>Guido Caldarelli and Michele Catanzaro2013-09-24Numbers: A Very Short Introduction
http://www.veryshortintroductions.com/view/10.1093/actrade/9780199584055.001.0001/actrade-9780199584055
<table><tr><td width="200px"><img width="150px" src="http://www.veryshortintroductions.com/view/covers/9780199584055.png" alt="Numbers: A Very Short Introduction"/><br/></td><td><dl><dt>Author:</dt><dd>Peter M. Higgins</dd><dt>ISBN:</dt><dd>9780199584055</dd><dt>Publisher:</dt><dd>Oxford University Press</dd><dt>Subjects:</dt><dd>Science and Mathematics, Mathematics, Pure Mathematics</dd><dt>DOI:</dt><dd>10.1093/actrade/9780199584055.001.0001</dd><dt>Published in print:</dt><dd>2011</dd><dt>Published Online:</dt><dd>2013-09-24</dd></dl></td></tr></table><p>
Numbers: A very Short Introduction unravels the world of numbers; demonstrating its richness, and providing a comprehensive view of the idea of the number. This VSI paints a picture of the number world, considering how the modern number system matured over centuries. Explaining the various number types and showing how they behave, it introduces key concepts such as integers, fractions, real numbers, and imaginary numbers. By approaching the topic in a non–technical way and emphasising the basic principles and interactions of numbers with mathematics and science, this VSI also demonstrates practical interactions and modern applications, such as encryption of confidential data on the internet.
</p>Peter M. Higgins2013-09-24Symmetry: A Very Short Introduction
http://www.veryshortintroductions.com/view/10.1093/actrade/9780199651986.001.0001/actrade-9780199651986
<table><tr><td width="200px"><img width="150px" src="http://www.veryshortintroductions.com/view/covers/9780199651986.png" alt="Symmetry: A Very Short Introduction"/><br/></td><td><dl><dt>Author:</dt><dd>Ian Stewart</dd><dt>ISBN:</dt><dd>9780199651986</dd><dt>Publisher:</dt><dd>Oxford University Press</dd><dt>Subjects:</dt><dd>Science and Mathematics, Mathematics, Pure Mathematics</dd><dt>DOI:</dt><dd>10.1093/actrade/9780199651986.001.0001</dd><dt>Published in print:</dt><dd>2013</dd><dt>Published Online:</dt><dd>2013-09-24</dd></dl></td></tr></table><p>
Symmetry: A Very Short Introduction provides an introduction to the 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.
</p>Ian Stewart2013-09-24Complexity: A Very Short Introduction
http://www.veryshortintroductions.com/view/10.1093/actrade/9780199662548.001.0001/actrade-9780199662548
<table><tr><td width="200px"><img width="150px" src="http://www.veryshortintroductions.com/view/covers/9780199662548.png" alt="Complexity: A Very Short Introduction"/><br/></td><td><dl><dt>Author:</dt><dd>John H. Holland</dd><dt>ISBN:</dt><dd>9780199662548</dd><dt>Publisher:</dt><dd>Oxford University Press</dd><dt>Subjects:</dt><dd>Science and Mathematics, Mathematics, Applied Mathematics</dd><dt>DOI:</dt><dd>10.1093/actrade/9780199662548.001.0001</dd><dt>Published in print:</dt><dd>2014</dd><dt>Published Online:</dt><dd>2014-07-24</dd></dl></td></tr></table><p>
From the movement of flocks of birds to the Internet, environmental sustainability, and market regulation, the study and understanding of complex non-linear systems has become highly influential over the last thirty years. Complexity: A Very Short Introduction introduces the key elements and conceptual framework of complexity. From complex physical systems such as fluid flow and the difficulties of predicting weather, to complex adaptive systems such as the highly diverse and interdependent ecosystems of rainforests, it combines simple, well-known examples—Adam Smith’s pin factory, Charles Darwin’s comet orchid, and Herbert Simon’s “watchmaker”—with an account of the approaches, involving agents and urn models, taken by complexity theory.
</p>John H. Holland2014-07-24The History of Mathematics: A Very Short Introduction
http://www.veryshortintroductions.com/view/10.1093/actrade/9780199599684.001.0001/actrade-9780199599684
<table><tr><td width="200px"><img width="150px" src="http://www.veryshortintroductions.com/view/covers/9780199599684.png" alt="The History of Mathematics: A Very Short Introduction"/><br/></td><td><dl><dt>Author:</dt><dd>Jacqueline Stedall</dd><dt>ISBN:</dt><dd>9780199599684</dd><dt>Publisher:</dt><dd>Oxford University Press</dd><dt>Subjects:</dt><dd>Science and Mathematics, Mathematics, History of Mathematics</dd><dt>DOI:</dt><dd>10.1093/actrade/9780199599684.001.0001</dd><dt>Published in print:</dt><dd>2012</dd><dt>Published Online:</dt><dd>2013-09-24</dd></dl></td></tr></table><p>
The History of Mathematics: A Very Short Introduction is arranged thematically to exemplify the varied contexts in which people have learned, used, and handed on mathematics. Using illustrative case studies drawn from a range of times and places, including early imperial China, the medieval Islamic world, and nineteenth-century Britain, the rich historical and cultural diversity of mathematical endeavour from the distant past to the present day is explored. Mathematics is a fundamental human activity that can be practised and understood in a multitude of ways; indeed, mathematical ideas themselves are far from being fixed; they have been adapted and changed by their passage across periods and cultures.
</p>Jacqueline Stedall2013-09-24Statistics: A Very Short Introduction
http://www.veryshortintroductions.com/view/10.1093/actrade/9780199233564.001.0001/actrade-9780199233564
<table><tr><td width="200px"><img width="150px" src="http://www.veryshortintroductions.com/view/covers/9780199233564.png" alt="Statistics: A Very Short Introduction"/><br/></td><td><dl><dt>Author:</dt><dd>David J. Hand</dd><dt>ISBN:</dt><dd>9780199233564</dd><dt>Publisher:</dt><dd>Oxford University Press</dd><dt>Subjects:</dt><dd>Science and Mathematics, Mathematics, Probability and Statistics</dd><dt>DOI:</dt><dd>10.1093/actrade/9780199233564.001.0001</dd><dt>Published in print:</dt><dd>2008</dd><dt>Published Online:</dt><dd>2013-09-24</dd></dl></td></tr></table><p>
Statistics: A Very Short Introduction describes a field very different from the dry and dusty discipline of the popular imagination. In its place is an exciting subject which uses deep theory and powerful software tools to shed light and enable understanding. And it sheds this light on all aspects of our lives, enabling astronomers to explore the origins of the universe, archaeologists to investigate ancient civilisations, governments to understand how to benefit and improve society, and businesses to learn how best to provide goods and services. Aimed at readers with no prior mathematical knowledge, this Very Short Introduction explores and explains how statistics work, and how we can decipher them.
</p>David J. Hand2013-09-24Measurement: A Very Short Introduction
http://www.veryshortintroductions.com/view/10.1093/actrade/9780198779568.001.0001/actrade-9780198779568
<table><tr><td width="200px"><img width="150px" src="http://www.veryshortintroductions.com/view/covers/9780198779568.png" alt="Measurement: A Very Short Introduction"/><br/></td><td><dl><dt>Author:</dt><dd>David J. Hand</dd><dt>ISBN:</dt><dd>9780198779568</dd><dt>Publisher:</dt><dd>Oxford University Press</dd><dt>Subjects:</dt><dd>Science and Mathematics, Mathematics</dd><dt>DOI:</dt><dd>10.1093/actrade/9780198779568.001.0001</dd><dt>Published in print:</dt><dd>2016</dd><dt>Published Online:</dt><dd>2016-10-27</dd></dl></td></tr></table><p>
Measurement is a fundamental concept central to the sciences, social sciences, medicine, economics, government, and indeed also to everyday life. The history of measurement goes back to the ancient world. Its story has been one of gradual standardization, although different types of measurement, levels of accuracy, and systems of units, apply in different contexts. Measurement: A Very Short Introduction explains the common mathematical framework underlying all measurement, the main approaches to measurement, and the challenges involved. Following a brief historical account of measurement, it discusses measurement as used in the physical sciences and engineering, the life sciences and medicine, the social and behavioural sciences, economics, business, and public policy.
</p>David J. Hand2016-10-27Probability: A Very Short Introduction
http://www.veryshortintroductions.com/view/10.1093/actrade/9780199588480.001.0001/actrade-9780199588480
<table><tr><td width="200px"><img width="150px" src="http://www.veryshortintroductions.com/view/covers/9780199588480.png" alt="Probability: A Very Short Introduction"/><br/></td><td><dl><dt>Author:</dt><dd>John Haigh</dd><dt>ISBN:</dt><dd>9780199588480</dd><dt>Publisher:</dt><dd>Oxford University Press</dd><dt>Subjects:</dt><dd>Science and Mathematics, Mathematics, Probability and Statistics, Probability</dd><dt>DOI:</dt><dd>10.1093/actrade/9780199588480.001.0001</dd><dt>Published in print:</dt><dd>2012</dd><dt>Published Online:</dt><dd>2013-09-24</dd></dl></td></tr></table><p>
Probability: A Very Short Introduction explores ideas of probability and the different philosophical approaches to it. It provides a brief account of the history of development of probability theory, and considers the work of some of the big players: from Galileo and Pascal to Bayes, Laplace, Poisson, and Markov. Making good decisions under conditions of uncertainty — which is the norm — requires a sound appreciation of the way random chance works. As analysis and modelling of most aspects of the world, and all measurement, are necessarily imprecise and involve uncertainties of varying degrees, the understanding and management of probabilities is central to much work in the sciences and economics.
</p>John Haigh2013-09-24Algebra: A Very Short Introduction
http://www.veryshortintroductions.com/view/10.1093/actrade/9780198732822.001.0001/actrade-9780198732822
<table><tr><td width="200px"><img width="150px" src="http://www.veryshortintroductions.com/view/covers/9780198732822.png" alt="Algebra: A Very Short Introduction"/><br/></td><td><dl><dt>Author:</dt><dd>Peter M. Higgins</dd><dt>ISBN:</dt><dd>9780198732822</dd><dt>Publisher:</dt><dd>Oxford University Press</dd><dt>Subjects:</dt><dd>Science and Mathematics, Mathematics, Pure Mathematics, Algebra</dd><dt>DOI:</dt><dd>10.1093/actrade/9780198732822.001.0001</dd><dt>Published in print:</dt><dd>2015</dd><dt>Published Online:</dt><dd>2015-10-22</dd></dl></td></tr></table><p>
Algebra marked the beginning of modern mathematics, moving it beyond arithmetic, which involves calculations featuring given numbers, to problems in which some quantities are unknown. Now, it stands as a pillar of mathematics, underpinning the quantitative sciences. Algebra: A Very Short Introduction explains algebra from scratch. Over the course of ten chapters, it offers a step by step approach for readers keen on developing their understanding of algebra. Using theory and example, it renews the reader’s acquaintance with school mathematics, before taking them progressively further and deeper into modern algebra, including groups, rings, fields, and vector spaces.
</p>Peter M. Higgins2015-10-22Combinatorics: A Very Short Introduction
http://www.veryshortintroductions.com/view/10.1093/actrade/9780198723493.001.0001/actrade-9780198723493
<table><tr><td width="200px"><img width="150px" src="http://www.veryshortintroductions.com/view/covers/9780198723493.png" alt="Combinatorics: A Very Short Introduction"/><br/></td><td><dl><dt>Author:</dt><dd>Robin Wilson</dd><dt>ISBN:</dt><dd>9780198723493</dd><dt>Publisher:</dt><dd>Oxford University Press</dd><dt>Subjects:</dt><dd>Science and Mathematics, Mathematics, Pure Mathematics, Combinatorics and Graph Theory</dd><dt>DOI:</dt><dd>10.1093/actrade/9780198723493.001.0001</dd><dt>Published in print:</dt><dd>2016</dd><dt>Published Online:</dt><dd>2016-04-28</dd></dl></td></tr></table><p>
Combinatorics is the branch of mathematics concerned with selecting, arranging, and listing or counting collections of objects. 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. Combinatorics: A Very Short Introduction provides 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 draw a map with different colours for neighbouring countries.
</p>Robin Wilson2016-04-28Fractals: A Very Short Introduction
http://www.veryshortintroductions.com/view/10.1093/actrade/9780199675982.001.0001/actrade-9780199675982
<table><tr><td width="200px"><img width="150px" src="http://www.veryshortintroductions.com/view/covers/9780199675982.png" alt="Fractals: A Very Short Introduction"/><br/></td><td><dl><dt>Author:</dt><dd>Kenneth Falconer</dd><dt>ISBN:</dt><dd>9780199675982</dd><dt>Publisher:</dt><dd>Oxford University Press</dd><dt>Subjects:</dt><dd>Science and Mathematics, Mathematics, Pure Mathematics, Geometry</dd><dt>DOI:</dt><dd>10.1093/actrade/9780199675982.001.0001</dd><dt>Published in print:</dt><dd>2013</dd><dt>Published Online:</dt><dd>2013-09-24</dd></dl></td></tr></table><p>
Fractals: A Very Short Introduction looks at the roots of the ‘fractal revolution’ that occurred in mathematics in the 20th century. It presents the ‘new geometry’ of fractals, explains the basic concepts, and explores the wide range of applications in science, and in aspects of economics. Many are familiar with the beauty and ubiquity of fractal forms within nature. Unlike the study of smooth forms, fractal geometry describes more familiar shapes and patterns, such as the complex contours of coastlines, the outlines of clouds, and the branching of trees. This is essential introductory reading for students of mathematics and science, and those interested in popular science and mathematics.
</p>Kenneth Falconer2013-09-24