Sinopsis
Explore how combining functions can unlock new rules of change and symmetry. This volume presents Volterra’s theory of permutable functions, focusing on how composition and addition interact in algebraic and analytic settings. It offers a clear path from basic ideas to deeper results about when different operations commute and what that means for solving complex equations.
The book moves from fundamental definitions to powerful methods. It explains two types of permutability, shows how to model composition with precise notation, and connects these ideas to integral equations and analytic functions. Readers will see how classic theorems translate from multiplication to composition and learn to apply these concepts to integro-differential problems and beyond.
- Foundational concepts of permutable functions and their two types of permutability
- How composition replaces multiplication in proving new addition theorems
- Connections to integral equations, analytic functions, and solving problems in mathematical physics
- Techniques for representing and working with composed functions using notation and examples
Ideal for readers of advanced mathematics, functional analysis, and mathematical physics who want a rigorous, hands-on look at how permutability shapes problem solving.
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Reseña del editor
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.
Reseña 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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The Theory of Permutable Functions (Classic Reprint)
Impresión bajo demandaLibrería: Forgotten Books, London, Reino Unido
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Paperback. Condición: New. Print on Demand. 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. 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. Nº de ref. del artículo: 9781330872260_0
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The Theory of Permutable Functions Classic Reprint
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PAP. Condición: New. New Book. Shipped from UK. Established seller since 2000. Nº de ref. del artículo: LW-9781330872260
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The Theory of Permutable Functions Classic Reprint
Librería: PBShop.store UK, Fairford, GLOS, Reino Unido
Calificación del vendedor: 5 de 5 estrellas
PAP. Condición: New. New Book. Shipped from UK. Established seller since 2000. Nº de ref. del artículo: LW-9781330872260
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