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Reprint of the original, first published in 1875.
This book presents first-year calculus roughly in the order in which it was first discovered. The first two chapters show how the ancient calculations of practical problems led to infinite series, differential and integral calculus and to differential equations. The establishment of mathematical rigour for these subjects in the 19th century for one and several variables is treated in chapters III and IV. Many quotations are included to give the flavor of the history. The text is complemented by a large number of examples, calculations and mathematical pictures and will provide stimulating and enjoyable reading for students, teachers, as well as researchers.
Named a Book of the Year by the Daily Telegraph, Times Literary Supplement, The Times, Spectator, and The Economist The English first materialized as an idea, before they had a common ruler and before the country they lived in even had a name. From the armed Saxon bands that descended onto Roman-controlled Britain in the fifth century to the travails of the Eurozone plaguing the prime-ministership of today's multicultural England, acclaimed historian Robert Tombs presents a momentous and challenging history of a people who have a claim to be the oldest nation in existence. Drawing on a wealth of recent scholarship, Tombs sheds light on the strength and resilience of English governance, the deep patterns of division among the people who have populated the British Isles, the persistent capacity of the English to come together in the face of danger, and not the least the ways the English have understood their own history, have argued about it, forgotten it and yet been shaped by it. Momentous and definitive, The English and Their History is the first single-volume work on this scale for more than half a century.
'A triumph' INDEPENDENT 'A thought-provoking and indispensable book' DAILY MAIL 'An instant classic ... I have been reading it with unalloyed admiration and delight' EVENING STANDARD Roy Strong has written an exemplary introduction to the history of Britain, as first designated by the Romans. It is a brilliant and balanced account of successive ages bound together by a compelling narrative which answers the questions: 'Where do we come from?' and 'Where are we going?' Beginning with the earliest recorded Celtic times, and ending with the present day of Brexit Britain, it is a remarkable achievement. With his passion, enthusiasm and wide-ranging knowledge, he is the ideal narrator. His book should be read by anyone, anywhere, who cares about Britain's national past, national identity and national prospects.
Step into the tumultuous age of Stuart England with Peter Ackroyd's enlightening Civil War. Beginning with James I, the first Scottish king of England, it tracks an era of massive upheaval, ending with the dramatic flight of his grandson, James II, into exile. Civil War transports you to the heart of the 17th-century Britain, where you meet figures like James I with his shrewd perspectives on diverse matters, and Charles I, whose inept rule ignited the flames of the English Civil War. Ackroyd offers a brilliant – warts and all – portrayal of Charles's nemesis Oliver Cromwell, Parliament's great military leader and England's only dictator, who began his career as a political liberator but ended it as much of a despot as the king he executed. Beyond this political turmoil, Ackroyd also explores the rich cultural and literary contributions of the Jacobean era. This was a world where Shakespeare's masterpieces were penned, John Donne weaved his poetry and Thomas Hobbes crafted his philosophical marvel, Leviathan. Most importantly, get a glimpse of the extraordinary lives of common English men and women, their existence seeped in constant disruption and uncertainty. Civil War is a stirring account of a pivotal epoch, making it a must-read for history enthusiasts.
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