Differential geometry is the study of curved spaces using the techniques of calculus. It is a mainstay of undergraduate mathematics education and a cornerstone of modern geometry. It is also the language used by Einstein to express general relativity, and so is an essential tool for astronomers and theoretical physicists. This introductory textbook originates from a popular course given to third year students at Durham University for over twenty years, first by the late L. M. Woodward and later by John Bolton (and others). It provides a thorough introduction by focusing on the beginnings of the subject as studied by Gauss: curves and surfaces in Euclidean space. While the main topics are the classics of differential geometry - the definition and geometric meaning of Gaussian curvature, the Theorema Egregium, geodesics, and the Gauss-Bonnet Theorem - the treatment is modern and student-friendly, taking direct routes to explain, prove and apply the main results. It includes many exercises to test students' understanding of the material, and ends with a supplementary chapter on minimal surfaces that could be used as an extension towards advanced courses or as a source of student projects.

In the year 1193, murder and treachery stalk the lush hills and valleys of England. James Dunreith, branded a sorceror and exiled from his homeland, returns to reclaim his birthright. Pressed into the service of Queen Eleanor of Aquitaine, a faery and mortal both, Dunreith must uncover those who plot against the crown even if they were once the closest of allies. Yet great danger awaits...

The son of a Baltimore fireman and the first person in his family to go to university, with scholarships to Yale College and Yale Law School, John Bolton candidly recounts his sixteen month tenure as US Ambassador to the United Nations, his Senate confirmation battle, and the highlights of his career in public service in two prior Republican administrations. In this explosive book, Bolton describes why practices such as the Oil for Food scandal, procurement fraud and sexual exploitation and abuse by U.N. peacekeepers are explained away or ignored. He also details how he made sure that U.N. Secretary General Kofi Annan did not run for a third term and that another 'secular Pope' did not succeed him and why no country except the United States has done much about ending the genocide in Darfur. With a no-holds barred approach, John Bolton provides a unique insight into the workings of this monolithic institution and America's place within it.

This volume traces the complex reasons behind the disturbing discrepancy between the health and well-being of children in mainstream Australia and those in remote Indigenous communities. Invaluably informed by Boulton's close working knowledge of Aboriginal communities, the book addresses growth faltering as a crisis of Aboriginal parenting and a continued problem for the Australian nation. The high rate and root causes of ill-health amongst Aboriginal children are explored through a unique synthesis of historical, anthropological, biological and medical analyses. Through this fresh approach, which includes the insights of specialists from a range of disciplines, Aboriginal Children, History and Health provides a thoughtful and innovative framework for considering Indigenous health.

This volume traces the complex reasons behind the disturbing discrepancy between the health and well-being of children in mainstream Australia and those in remote Indigenous communities. Invaluably informed by Boulton's close working knowledge of Aboriginal communities, the book addresses growth faltering as a crisis of Aboriginal parenting and a continued problem for the Australian nation. The high rate and root causes of ill-health amongst Aboriginal children are explored through a unique synthesis of historical, anthropological, biological and medical analyses. Through this fresh approach, which includes the insights of specialists from a range of disciplines, Aboriginal Children, History and Health provides a thoughtful and innovative framework for considering Indigenous health.