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＜電子ブック＞
An Introduction to Infinite Products / by Charles H. C. Little, Kee L. Teo, Bruce van Brunt
(SUMS Readings. ISSN:27305821)

版	1st ed. 2022.
出版者	(Cham : Springer International Publishing : Imprint: Springer)
出版年	2022
大きさ	X, 251 p : online resource
著者標目	*Little, Charles H. C author Teo, Kee L author van Brunt, Bruce author SpringerLink (Online service)
件　名	LCSH:Sequences (Mathematics) LCSH:Mathematical analysis FREE:Sequences, Series, Summability FREE:Analysis
一般注記	Preface -- 1. Introduction -- 2. Infinite Products -- 3. The Gamma Function -- 4. Prime Numbers, Partitions and Products -- 5. Epilogue -- 6. Tables of Products -- References This text provides a detailed presentation of the main results for infinite products, as well as several applications. The target readership is a student familiar with the basics of real analysis of a single variable and a first course in complex analysis up to and including the calculus of residues. The book provides a detailed treatment of the main theoretical results and applications with a goal of providing the reader with a short introduction and motivation for present and future study. While the coverage does not include an exhaustive compilation of results, the reader will be armed with an understanding of infinite products within the course of more advanced studies, and, inspired by the sheer beauty of the mathematics. The book will serve as a reference for students of mathematics, physics and engineering, at the level of senior undergraduate or beginning graduate level, who want to know more about infinite products. It will also be of interest to instructors who teach courses that involve infinite products as well as mathematicians who wish to dive deeper into the subject. One could certainly design a special-topics class based on this book for undergraduates. The exercises give the reader a good opportunity to test their understanding of each section HTTP:URL=https://doi.org/10.1007/978-3-030-90646-7

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