Calculus Made Easy has long been the most popular calculus primer, and this major revision of the classic math text makes the subject at hand still more comprehensible to readers of all levels. With a new introduction, three new chapters, modernized language and methods throughout, and an appendix of challenging and enjoyable practice problems, Calculus Made Easy has been thoroughly updated for the modern reader.

How was Great Britain made? And what does it mean to be British? In this prize-winning book, Linda Colley combines imperial, political, social, and cultural history to analyze the evolution of Britishness, evoking its enduring tensions as well as its powerful characteristics. Hailed at its publication as “the most dazzling and comprehensive study of a national identity yet to appear” (Tom Nairn), Britons is now reissued with a new Preface by the author commenting on the book’s genesis and critical reception and on recent political developments.
“A sweeping survey, . . . evocatively illustrated and engagingly written.”—Harriet Ritvo, New York Times Book Review
“Dashingly written and firmly unsentimental.”—Keith Thomas, New York Review of Books
“Extremely learned and penetrating . . . [and] most entertaining.”—Conor Cruise O’Brien, New Republic
“Challenging, fascinating, enormously well informed.”—John Barrell, London Review of Books
“[Colley] has a capacity for historical generalizations that puts her into the front rank among her contemporaries.”—E. P. Thompson, Dissent
“Absolutely magnificent.”—Jeffrey Hart, National Review

Ranging over a quarter of a millennium and four continents, Captives uncovers the experiences and writings of those tens of thousands of men and women who took part in Britain's rise to imperial pre-eminence, but who got caught and caught out. Here are the stories of Sarah Shade, a camp follower imprisoned alongside defeated British legions in Southern India; of Joseph Pitts, white slave and pilgrim to Mecca; of Florentia Sale, captive and diarist in Afghanistan; of those individuals who crossed the cultural divide and switched identities, like the Irishman George Thomas; and of others who made it back, like the onetime Chippewa warrior and Scot, John Rutherford. Linda Colley uses these tales of ordinary individuals trapped in extraordinary encounters to re-evaluate the character and diversity of the British Empire. She explores what they reveal about British responses to, relations with, and frequent dependence upon different non-European peoples. She shows how British attitudes to Islam, slavery, race, and American Revolutionaries look different once the captive's perspective is admitted. And she demonstrates how these individual captivities illuminate the limits of Britain's global power over time - as well as its extent. Richly illustrated and evocatively written, Captives is both a magnificent and compelling work of history, and a powerful and original reappraisal of the significance and survivals of empire now.

The Hobbit is the unforgettable story of Bilbo, a peace-loving hobbit, who embarks on a strange and magical adventure. A timeless classic. Bilbo Baggins enjoys a quiet and contented life, with no desire to travel far from the comforts of home; then one day the wizard Gandalf and a band of dwarves arrive unexpectedly and enlist his services - as a burglar - on a dangerous expedition to raid the treasure-hoard of Smaug the dragon. Bilbo's life is never to be the same again. Seldom has any book been so widely read and loved as J.R.R. Tolkien's classic tale, 'The Hobbit'. Since its first publication in 1937 it has remained in print to delight each new generation of readers all over the world, and its hero, Bilbo Baggins, has taken his place among the ranks of the immortals of fiction.

All three parts of the epic masterpiece 'The Lord of the Rings' in one paperback. Features brand new packaging, the definitive edition of the text, fold-out flaps with the original two-colour maps, and a revised and expanded index. Sauron, the Dark Lord, has gathered to him all the Rings of Power -- the means by which he intends to rule Middle-earth. All he lacks in his plans for dominion is the One Ring -- the ring that rules them all -- which has fallen into the hands of the hobbit, Bilbo Baggins. In a sleepy village in the Shire, young Frodo Baggins finds himself faced with an immense task, as the Ring is entrusted to his care. He must leave his home and make a perilous journey across the realms of Middle-earth to the Crack of Doom, deep inside the territories of the Dark Lord. There he must destroy the Ring forever and foil the Dark Lord in his evil purpose. Since it was first published in 1954, 'The Lord of the Rings' has been a book people have treasured. Steeped in unrivalled magic and otherworldliness, its sweeping fantasy has touched the hearts of young and old alike. Now, to coincide with the publication of J.R.R. Tolkien's The Children of Hurin, the definitive 50th Anniversary text, fully restored with almost 400 corrections -- with the full co-operation of Christopher Tolkien -- is reissued with a striking new cover.

One of the leading textbooks on Haskell programming, this third edition is thoroughly revised throughout and includes new material on testing and domain-specific languages and a variety of new examples and case studies, including simple games.
* Emphasises software engineering principles.
* Encourages a disciplined approach to building reusable libraries of software components.
* Case studies are used throughout the book to introduce new ideas, illustrate important concepts, and demonstrate how existing techniques work together. Case studies include:
- An interactive calculator programme.
- A coding and decoding system.
- A small queue simulation package.
* Companion website contains supporting material (such as visualisation tools * and a substantial number of web links) to aid further study.
Appendices contain information on Hugs errors.

Theoretical neuroscience provides a quantitative basis for describing what nervous systems do, determining how they function, and uncovering the general principles by which they operate. This text introduces the basic mathematical and computational methods of theoretical neuroscience and presents applications in a variety of areas including vision, sensory-motor integration, development, learning, and memory.The book is divided into three parts. Part I discusses the relationship between sensory stimuli and neural responses, focusing on the representation of information by the spiking activity of neurons. Part II discusses the modeling of neurons and neural circuits on the basis of cellular and synaptic biophysics. Part III analyzes the role of plasticity in development and learning. An appendix covers the mathematical methods used, and exercises are available on the book's Web site.

This "Invitation to Mathematics" consists of 14 contributions, many from the world's leading mathematicians, which introduce the readers to exciting aspects of current mathematical research. The contributions are as varied as the personalities of active mathematicians, but together they show mathematics as a rich and lively field of research. The contributions are written for interested students at the age of transition between high school and university who know high school mathematics and perhaps competition mathematics and who want to find out what current research mathematics is about. We hope that it will also be of interest to teachers or more advanced mathematicians who would like to learn about exciting aspects of mathematics outside of their own work or specialization. Together with a team of young 'test readers', editors and authors have taken great care, through a substantial 'active editing' process, to make the contributions understandable by the intended readership.

Neurons in the brain communicate by short electrical pulses, the so-called action potentials or spikes. How can we understand the process of spike generation? How can we understand information transmission by neurons? What happens if thousands of neurons are coupled together in a seemingly random network? How does the network connectivity determine the activity patterns? And, vice versa, how does the spike activity influence the connectivity pattern? These questions are addressed in this 2002 introduction to spiking neurons aimed at those taking courses in computational neuroscience, theoretical biology, biophysics, or neural networks. The approach will suit students of physics, mathematics, or computer science; it will also be useful for biologists who are interested in mathematical modelling. The text is enhanced by many worked examples and illustrations. There are no mathematical prerequisites beyond what the audience would meet as undergraduates: more advanced techniques are introduced in an elementary, concrete fashion when needed.

What is the correct concept behind measures of inflation? Does money cause business activity or is it the other way around? Shall we stimulate growth by raising aggregate demand or rather by lowering taxes and thereby providing incentives to produce? Policy-relevant questions such as these are of immediate and obvious importance to the welfare of societies. The standard approach in dealing with them is to build a model, based on economic theory, answer the question for the model world and then apply the results to economic phenomena outside. Data come in, if at all, only in testing a limited number of the model's consequences. Despite some critical voices, economic methodology too has by and large subscribed to a "theory first" approach to applied economics. Error in Economics systematically develops an alternative to the theory-based orthodoxy. It places the methodical study of evidence at the centre of the scientific enterprise and thus provides a foundation for a methodology of evidence-based economics. But the book does not stop at the truism that claims should be based on the best available evidence. Rather, detailed studies in the areas of measurement, causal inference and policy analysis show what it means for a claim to be evidence-based in the context of a concrete case. The examples discussed concern topics as diverse as consumer price indices, radio spectrum auctions, the transmission mechanism, natural experiments on minimum wages and the evaluation of counterfactuals for policy. Error in Economics is essential reading for economic methodologists, philosophers of science and anyone interested in how claims about socio-economic matters are validated.

This volume explains recent theoretical developments in the econometric modelling of relationships between different statistical series. The statistical techniques explored analyse relationships between different variables, over time, such as the relationship between variables in a macroeconomy. Examples from Professor Terasvirta's empirical work are given. Professors Granger and Terasvirta are leading exponents of techniques of dynamic, multivariate analysis. They illustrate in this volume exploratory ways of using such techniques to provide models of nonlinear relationships between variables. This is an extension of previous work on linear relationships, and on univariate models. These developments will be of use to econometricians wishing to construct and use models of nonlinear, dynamic, multivariate relationships, such as an investment function, or a production function. Particular attention is paid to the case of a single dependent variable modelled by a few explanatory variables and the lagged dependent variable in nonlinear form. The book concentrates on stochastic series, since the existence of unexpected shocks strongly suggests that economic variables are stochastic. Granger and Terasvirta also discuss the division of these nonlinear relationships into parametric and nonparametric models.

This book, and its companion volume in the Econometric Society Monographs series (ESM number 32), present a collection of papers by Clive W. J. Granger. His contributions to economics and econometrics, many of them seminal, span more than four decades and touch on all aspects of time series analysis. The papers assembled in this volume explore topics in causality, integration and cointegration, and long memory. Those in the companion volume investigate themes in causality, integration and cointegration, and long memory. The two volumes contain the original articles as well as an introduction written by the editors.

The History of Econometric Ideas covers the period from the late nineteenth century to the middle of the twentieth century, illustrating how economists first learned to harness statistical methods to measure and test the "laws" of economics. Though scholarly, Dr. Morgan's book is very accessible; it does not require a high level of prior statistical knowledge, and will be of interest to practicing statisticians and economists.