9781332051441 - the cambridge colloquium 1916, vol. 1: part 1, functionals and their applications selected topics, including integral equations (classic reprint) de evans, griffith conrad (3 resultados)

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Paperback. Condición: New. Print on Demand. This book delves into the mathematical field known as functional analysis, where the values of mathematical functions are themselves functions. The author approaches the subject from an historical perspective, tracing its development from the work of mathematicians like Volterra and Ha…damard. The book focuses on three key aspects of functional analysis: the calculus of variations, differential equations, and integral equations. The author introduces fundamental concepts such as functional derivatives and the notion of the 'dependence' of one functional on another. He discusses their properties and explores how the variation of a functional with respect to its argument can be expressed in terms of functional derivatives. The book also examines variational equations â" equations that express the dependence of a functional on its argument â" and the conditions under which such equations are solvable. By exploring the deep connections between functional analysis and other branches of mathematics, this book offers a comprehensive understanding of the subject and its applications across various fields of science and engineering. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item.