The Theory of Permutable Functions (Classic Reprint) - Hardcover

Vito Volterra

9780267977994: The Theory of Permutable Functions (Classic Reprint)

Hardcover

ISBN 10: 0267977999 ISBN 13: 9780267977994

Publisher: Forgotten Books, 2018

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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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