The Theory of Permutable Functions (Classic Reprint) - Brossura

Volterra, Vito

 
9781330872260: The Theory of Permutable Functions (Classic Reprint)

Sinossi

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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