Many of these students are extremely intelligent and hardworking, but even the best will, at some point, struggle with the demands of making the transition to advanced mathematics. Some have difficulty adjusting to independent study and to learning from lectures. Other struggles, however, are more fundamental: the mathematics shifts in focus from calculation to proof, so students are expected to interact with it in different ways. These changes need not be mysterious - mathematics education research has revealed many insights into the adjustments that are necessary - but they are not obvious and they do need explaining.This no-nonsense book translates these research-based insights into practical advice for a student audience. It covers every aspect of studying for a mathematics degree, from the most abstract intellectual challenges to the everyday business of interacting with lecturers and making good use of study time. Part 1 provides an in-depth discussion of advanced mathematical thinking, and explains how a student will need to adapt and extend their existing skills in order to develop a good understanding of undergraduate mathematics. Part 2 covers study skills as these relate to the demands of a mathematics degree. It suggests practical approaches to learning from lectures and to studying for examinations while also allowing time for a fulfilling all-round university experience.The first subject-specific guide for students, this friendly, practical text will be essential reading for anyone studying mathematics at university.

    This implies that life depends sensitively on the physics of our universe. Does this "fine-tuning" of the universe suggest that a creator god intentionally calibrated the initial conditions of the universe such that life on earth and the evolution of humanity would eventually emerge? In his in-depth and highly accessible discussion of this fascinating and controversial topic, the author looks at the evidence and comes to the opposite conclusion. He finds that the observations of science and our naked senses not only show no evidence for God, they provide evidence beyond a reasonable doubt that God does not exist.

    Drawing on their hugely popular BBC Radio 4 show More or Less,, journalist Michael Blastland and internationally known economist Andrew Dilnot delight, amuse, and convert American mathphobes by showing how our everyday experiences make sense of numbers. The radical premise of The Numbers Game is to show how much we already know, and give practical ways to use our knowledge to become cannier consumers of the media. In each concise chapter, the authors take on a different theme—such as size, chance, averages, targets, risk, measurement, and data—and present it as a memorable and entertaining story. If you’ve ever wondered what “average” really means, whether the scare stories about cancer risk should convince you to change your behavior, or whether a story you read in the paper is biased (and how), you need this book. Blastland and Dilnot show how to survive and thrive on the torrent of numbers that pours through everyday life. It’s the essential guide to every cause you love or hate, and every issue you follow, in the language everyone uses.

    The aim of a course in real analysis should be to challenge and improve mathematical intuition rather than to verify it. The philosophy of this book is to focus attention on questions which give analysis its inherent fascination.

    But at what cost? In this urgent and revelatory excavation of our Information Age, leading technology thinker Adam Greenfield forces us to reconsider our relationship with the networked objects, services and spaces that define us. It is time to re-evaluate the Silicon Valley consensus determining the future.We already depend on the smartphone to navigate every aspect of our existence. We're told that innovations--from augmented-reality interfaces and virtual assistants to autonomous delivery drones and self-driving cars--will make life easier, more convenient and more productive. 3D printing promises unprecedented control over the form and distribution of matter, while the blockchain stands to revolutionize everything from the recording and exchange of value to the way we organize the mundane realities of the day to day. And, all the while, fiendishly complex algorithms are operating quietly in the background, reshaping the economy, transforming the fundamental terms of our politics and even redefining what it means to be human.Having successfully colonized everyday life, these radical technologies are now conditioning the choices available to us in the years to come. How do they work? What challenges do they present to us, as individuals and societies? Who benefits from their adoption? In answering these questions, Greenfield's timely guide clarifies the scale and nature of the crisis we now confront --and offers ways to reclaim our stake in the future.

    But it was C. P. Snow's Rede lecture of 1959 that brought it to prominence and began a public debate that is still raging in the media today. This 50th anniversary printing of The Two Cultures and its successor piece, A Second Look (in which Snow responded to the controversy four years later) features an introduction by Stefan Collini, charting the history and context of the debate, its implications and its afterlife. The importance of science and technology in policy run largely by non-scientists, the future for education and research, and the problem of fragmentation threatening hopes for a common culture are just some of the subjects discussed.

    R is one of the most powerful and flexible statistical software packages available, and enables the user to apply a wide variety of statistical methods ranging from simple regression to generalized linear modelling. Statistics: An Introduction using R is a clear and concise introductory textbook to statistical analysis using this powerful and free software, and follows on from the success of the author's previous best-selling title Statistical Computing. * Features step-by-step instructions that assume no mathematics, statistics or programming background, helping the non-statistician to fully understand the methodology. * Uses a series of realistic examples, developing step-wise from the simplest cases, with the emphasis on checking the assumptions (e.g. constancy of variance and normality of errors) and the adequacy of the model chosen to fit the data. * The emphasis throughout is on estimation of effect sizes and confidence intervals, rather than on hypothesis testing. * Covers the full range of statistical techniques likely to be need to analyse the data from research projects, including elementary material like t-tests and chi-squared tests, intermediate methods like regression and analysis of variance, and more advanced techniques like generalized linear modelling. * Includes numerous worked examples and exercises within each chapter. * Accompanied by a website featuring worked examples, data sets, exercises and solutions: http: //www.imperial.ac.uk/bio/research/crawl... Statistics: An Introduction using R is the first text to offer such a concise introduction to a broad array of statistical methods, at a level that is elementary enough to appeal to a broad range of disciplines. It is primarily aimed at undergraduate students in medicine, engineering, economics and biology - but will also appeal to postgraduates who have not previously covered this area, or wish to switch to using R.

    It emphasizes throughout the point of doing philosophy, explains how different areas of philosophy are related, and explores the contexts in which philosophy was and is done.

    However, rather than resting on that reputation, the new edition of this text marks a significant advance in the already excellent quality of the book. While preserving concise language, state of the art educational pedagogy, and top-notch worked examples, the Eighth Edition features a unified art design as well as streamlined and carefully reorganized problem sets that enhance the thoughtful instruction for which Raymond A. Serway and John W. Jewett, Jr. earned their reputations. Likewise, PHYSICS FOR SCIENTISTS AND ENGINEERS, will continue to accompany Enhanced WebAssign in the most integrated text-technology offering available today. In an environment where new Physics texts have appeared with challenging and novel means to teach students, this book exceeds all modern standards of education from the most solid foundation in the Physics market today.

    Lyman Sargent discusses the role of utopianism in literature, and in the development of colonies and in immigration. The idea of utopia has become commonplace in social and political thought, both negatively and positively. Some thinkers see a trajectory from utopia to totalitarianism with violence an inevitable part of the mix. Others see utopia directly connected to freedom and as a necessary element in the fight against totalitarianism. In Christianity utopia is labelled as both heretical and as a fundamental part of Christian belief, and such debates are also central to such fields as architecture, town and city planning, and sociology among many othersSargent introduces and summarizes the debates over the utopia in literature, communal studies, social and political theory, and theology.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.

    This pioneering book is a vital resource for all those involved in publishing studies, library studies, book history and also those studying English literature, cultural studies, sociology and history.

    Luenberger, known for his ability to make complex ideas simple, presents essential ideas of investments and their applications, offering students the most comprehensive treatment of the subject available.

    Posner's "Law and Literature" has handily lived up to the "Washington Post's" prediction that the book would "remain essential reading for many years to come." This new edition, extensively revised and enlarged, continues to emphasize the essential differences between law and literature, which are rooted in the different social functions of legal and literary texts. But it also explores areas of mutual illumination and expands its range to include new topics such as popular fiction about law, literary education for lawyers, the legal narrative movement, and judicial biography.Literary works from classics by Sophocles, Shakespeare, Dostoevsky, Melville, Kafka, and Camus to contemporary fiction by William Gaddis, Tom Wolfe, and John Grisham come under Posner's scrutiny, as do recent attempts to apply the techniques of literary analysis to statutes, judicial opinions, and the Constitution. In a section entirely new in this edition, Posner discusses the increasing efforts of legal scholars to enrich their scholarship by borrowing the methods and insights of literature--even by insisting that legal education is incomplete without the ethical insights afforded by an immersion in literature.Thoroughly rewritten and updated, free of legal and literary jargon, and informed by Posner's extensive erudition and legal experience, this book remains the most clear, acute, and comprehensive account of the intersection of law and literature--"a wonderfully original and instructive study of what literature has to teach us about the law, the methods of legal argument, and the interpretation of statutes and the Constitution" ("Wall Street Journal").

    He won the Nobel Prize in 1933 and is best known for his thought experiment of a cat in a box, both alive and dead at the same time, which revealed the seemingly paradoxical nature of quantum mechanics.Schrödinger was working at one of the most fertile and creative moments in the whole history of science. By the time he was starting university in 1906, Einstein had already published his revolutionary papers on relativity. Now the baton of scientific progress was being passed to a new generation: Werner Heisenberg, Paul Dirac, Niels Bohr, and of course, Schrödinger himself.In this riveting biography John Gribbin takes us into the heart of the quantum revolution. He tells the story of Schrödinger's surprisingly colourful life (he arrived for a position at Oxford University with both his wife and mistress). And with his trade mark accessible style and popular touch explains the fascinating world of quantum mechanics, which underpins all of modern science.

    Yet it is rare to find someone prepared to defend all freedom of speech, especially if the views expressed are obnoxious or obviously false. So where do we draw the line? How important is our right to freedom of speech? In this accessible and up-to-date Very Short Introduction, Nigel Warburton covers a wide range of controversial free-speech issues, from Holocaust denial and pornography to the status of modern copyright law. The book offers a concise guide to many of the vexing issues concerning our right to speak freely, including: Should a civilized society set limits on freedom of speech? How can we balance free speech with the sensitivities of religious and minority groups? How have digital technology and the Internet changed the debate?