The Theory of Permutable Functions (Classic Reprint) - Softcover

Volterra, Vito

9781330872260: The Theory of Permutable Functions (Classic Reprint)

Softcover

ISBN 10: 1330872266 ISBN 13: 9781330872260

Verlag: Forgotten Books, 2018

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This book introduces a groundbreaking mathematical theory and methodology developed by an early 20th century Italian mathematician. The theory of permutable functions provides a way to extend and apply Taylor's expansion to a broad class of functions, including those that cannot be represented as polynomials. The author's exposition moves from elementary functions to complex functions of several variables with applications in physics and integral equations. The book provides a deep dive into the theory, including arithmetic techniques, series expansions, and solutions of linear integral equations. It is a landmark study of a subject with roots in 18th century mathematics that has continued to inspire researchers to the present day.

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Excerpt from The Theory of Permutable Functions

Necessary and sufficient conditions for the existence of this limit are well known. In particular, if the function is continuous over the interval ab or has at most a finite number of discontinuities, the limit and hence also the integral exists.

About the Publisher

Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com

This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

Rese�a del editor

Excerpt from The Theory of Permutable Functions

The Theory of Permutable Functions was written by Vito Volterra in 1915. This is a 65 page book, containing 7977 words. Search Inside is enabled for this title.

About the Publisher

Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com

This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

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