Algebra

A Very Short Introduction

Author: Peter M. Higgins

Publisher: Oxford University Press, USA

ISBN: 0198732821

Category: Algebra

Page: 144

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This introduction invites readers to revisit algebra and appreciate the elegance and power of equations and inequalities. Offering a clear explanation of algebra through theory and example, Higgins shows how equations lead to complex numbers, matrices, groups, rings, and fields.--
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Numbers: A Very Short Introduction

Author: Peter M. Higgins

Publisher: Oxford University Press

ISBN: 0199584052

Category: Mathematics

Page: 132

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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.
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Mathematics: A Very Short Introduction

Author: Timothy Gowers

Publisher: Oxford Paperbacks

ISBN: 9780192853615

Category: Mathematics

Page: 143

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This book aims to explain, in clear non-technical language,what it is that mathematicians do, and how that differs from and builds on the mathematics that most people are familiar with from school. It is the ideal introduction for anyone who wishes to deepen their understanding of mathematics.
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Symmetry: A Very Short Introduction

Author: Ian Stewart

Publisher: OUP Oxford

ISBN: 0199651981

Category: Mathematics

Page: 160

View: 5936

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Symmetry is an immensely important concept in mathematics and throughout the sciences. In this Very Short Introduction, Ian Stewart highlights the deep implications of symmetry and its important scientific applications across the entire subject.
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The History of Mathematics: A Very Short Introduction

Author: Jacqueline Stedall

Publisher: Oxford University Press

ISBN: 0199599688

Category: Mathematics

Page: 123

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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.
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Applied Mathematics

Author: Alain Goriely

Publisher: Oxford University Press

ISBN: 0198754043

Category: Mathematics

Page: 168

View: 3252

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Mathematics is playing an increasingly 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.
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Infinity: a Very Short Introduction

Author: Ian Stewart

Publisher: Oxford University Press

ISBN: 0198755236

Category: Mathematics

Page: 144

View: 5081

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Infinity is an intriguing topic, with connections to religion, philosophy, metaphysics, logic, and physics as well as mathematics. Its history goes back to ancient times, with especially important contributions from Euclid, Aristotle, Eudoxus, and Archimedes. The infinitely large (infinite) isintimately related to the infinitely small (infinitesimal). Cosmologists consider sweeping questions about whether space and time are infinite. Philosophers and mathematicians ranging from Zeno to Russell have posed numerous paradoxes about infinity and infinitesimals. Many vital areas ofmathematics rest upon some version of infinity. The most obvious, and the first context in which major new techniques depended on formulating infinite processes, is calculus. But there are many others, for example Fourier analysis and fractals.In this Very Short Introduction, Ian Stewart discusses infinity in mathematics while also drawing in the various other aspects of infinity and explaining some of the major problems and insights arising from this concept. He argues that working with infinity is not just an abstract, intellectualexercise but that it is instead a concept with important practical everyday applications, and considers how mathematicians use infinity and infinitesimals to answer questions or supply techniques that do not appear to involve the infinite.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, andenthusiasm to make interesting and challenging topics highly readable.
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Savannas: A Very Short Introduction

Author: Peter A. Furley

Publisher: Oxford University Press

ISBN: 0191026743

Category: Science

Page: 144

View: 5560

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Savannas form one of the largest and most important of the world's ecological zones. Covering one fifth of the Earth's land surface, they are home to some of the world's most iconic animals and form an extremely important global resource for plants and wildlife. However, increasing recognition of their land potential means that they are extremely vulnerable to accelerating pressures on usable land. This Very Short Introduction considers savannas as landscapes. Discussing their origin, topography, and global distribution, Peter A. Furley explores the dynamic nature of savannas and illustrates how they have shaped human evolution and movements. He goes on to discuss the unrelenting pressures that confront conservation and management and considers the future for savannas. 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.
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Sociology: A Very Short Introduction

Author: Steve Bruce

Publisher: Oxford University Press

ISBN: 0192555790

Category: Social Science

Page: 152

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Drawing on studies of social class, crime and deviance, education, work in bureaucracies and changes in religious and political organizations, this Very Short Introduction explores the tension between the individual's place in society and society's role in shaping the individual, and demonstrates the value of sociology for understanding the modern world. In this new edition Steve Bruce discusses the continuing arguments for social egalitarianism, considering issues such as gay marriage, women in combat roles, and the 2010 Equality Act to debunk contemporary arguments against parity. As gender divisions are increasingly questioned he looks ahead to the likely consequences of this for society. Delving into the theory of sociology, Bruce also argues that the habit of dividing sociology into apparently competing 'sects' is misleading, and shows how a new understanding of the disciplinary background of many of the most famous theorists, which shows that much social theory is actually philosophy or literary theory, will prove useful to today's sociologists. 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.
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Ancient Greece

A History in Eleven Cities

Author: Paul Cartledge

Publisher: OUP Oxford

ISBN: 9780191579608

Category: History

Page: 216

View: 4408

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The contribution of the Ancient Greeks to modern western culture is incalculable. In the worlds of art, architecture, myth, literature, and philosophy, the world we live in would be unrecognizably different without the formative influence of Ancient Greek models. Ancient Greek civilization was defined by the city - in Greek, the polis, from which we derive 'politics'. It is above all this feature of Greek civilization that has formed its most enduring legacy, spawning such key terms as aristocracy, oligarchy, tyranny and - last but by no means least - democracy. This highly stimulating introduction to Ancient Greece takes the polis as its starting point. Paul Cartledge uses the history of eleven major Greek cities to illuminate the most important and informative themes in Ancient Greek history, from the first documented use of the Greek language around 1400 BCE, through the glories of the Classical and Hellenistic periods, to the foundation of the Byzantine empire in around CE 330. Covering everything from politics, trade, and travel to slavery, gender, religion, and philosophy, it provides the ideal concise introduction to the history and culture of this remarkable civilization that helped give birth to the world as we know it.
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