Inhaltsangabe
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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The Theory of Permutable Functions (Classic Reprint)
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Paperback. Zustand: 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. Bestandsnummer des Verkäufers 9781330872260_0
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The Theory of Permutable Functions Classic Reprint
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PAP. Zustand: New. New Book. Shipped from UK. Established seller since 2000. Bestandsnummer des Verkäufers LW-9781330872260
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The Theory of Permutable Functions Classic Reprint
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PAP. Zustand: New. New Book. Shipped from UK. Established seller since 2000. Bestandsnummer des Verkäufers LW-9781330872260
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