This book is a complete English translation of Augustin-Louis Cauchy's historic 1823 text (his first devoted to calculus), R?sum? des le?ons sur le calcul infinit?simal, 'Summary of Lectures on the Infinitesimal Calculus,' originally written to benefit his ?cole Polytechnique students in Paris. Within this single text, Cauchy succinctly lays out and rigorously develops all of the topics one encounters in an introductory study of the calculus, from his classic definition of the limit to his detailed analysis of the convergence properties of infinite series. In between, the reader will find a full treatment of differential and integral calculus, including the main theorems of calculus and detailed methods of differentiating and integrating a wide variety of functions. Real, single variable calculus is the main focus of the text, but Cauchy spends ample time exploring the extension of his rigorous development to include functions of multiple variables as well as complex functions.
This translation maintains the same notation and terminology of Cauchy's original work in the hope of delivering as honest and true a Cauchy experience as possible so that the modern reader can experience his work as it may have been like 200 years ago. This book can be used with advantage today by anyone interested in the history of the calculus and analysis. In addition, it will serve as a particularly valuable supplement to a traditional calculus text for those readers who desire a way to create more texture in a conventional calculus class through the introduction of original historical sources.
Автор: Swartz Charles Название: Functional Calculi ISBN: 9814415979 ISBN-13(EAN): 9789814415972 Издательство: World Scientific Publishing Рейтинг: Цена: 12514.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: A functional calculus is a construction which associates with an operator or a family of operators a homomorphism from a function space into a subspace of continuous linear operators, such as a method for defining "functions of an operator". This book contains an exposition of several such functional calculi.
Автор: Berresford Название: Appld Calc Ssm 4Ed ISBN: 0618606378 ISBN-13(EAN): 9780618606375 Издательство: Cengage Learning Рейтинг: Цена: 12037.00 р. Наличие на складе: Нет в наличии.
Описание: Rosie, sixteen, beautiful and vivacious, is in love with Watt Bevan, the manager of the famous Mainwaring Pottery. But Watt, unaware of her feelings, is becoming increasingly drawn into problems facing pottery owner Llinos Mainwaring, whose romantic marriage to Joe, the American Indian who stole her heart all those years ago, now seems in trouble.
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