Theory of Functionals

Name: Theory of Functionals
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ISBN: 9781026035283

And of Integral and Integro-Differential Equations

Vito Volterra, Luigi Fantappiè

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English

Tradd Street Press
14 February 2026

Calculus; Functional analysis & transforms; Differential calculus & equations

Summary
Details

""Theory of Functionals: And of Integral and Integro-Differential Equations"" is a foundational treatise in the field of mathematical analysis, representing the culmination of Vito Volterra's pioneering research into the calculus of variations and the generalization of functions. As one of the most significant figures in late 19th and early 20th-century mathematics, Volterra introduces a systematic approach to functionals-functions that depend on other functions-providing a rigorous framework for what is now known as functional analysis.

The work explores the properties of integral and integro-differential equations, detailing their development and their profound implications for both pure mathematics and mathematical physics. Volterra examines the transition from finite-dimensional space to infinite-dimensional space, offering insights into the behavior of systems where the current state depends on past history. Edited and expanded from his influential lectures, this volume serves as an essential resource for understanding the historical development of modern analysis. It remains a vital reference for mathematicians and physicists interested in the evolution of linear operators and the mathematical modeling of complex physical phenomena.

This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you may see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.

This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.

As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

By: Vito Volterra, Luigi Fantappiè
Imprint: Tradd Street Press
Dimensions: Height: 234mm, Width: 156mm, Spine: 13mm
Weight: 354g
ISBN: 9781026035283
ISBN 10: 1026035287
Pages: 250
Publication Date: 14 February 2026
Audience: General/trade , ELT Advanced
Format: Paperback
Publisher's Status: Active