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 f(a:) is continuous over the interval ab or has at most a finite number of discontinuities, the limit and hence also the integral exists.
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Paperback. Condition: 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. Seller Inventory # 9781330872260_0
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781330872260
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781330872260
Quantity: 15 available