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An introduction to infinite products

Little, Charles H. C.

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An introduction to infinite products

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	An introduction to infinite products/ by Charles H. C. Little, Kee L. Teo, Bruce van Brunt.
作者:	Little, Charles H. C.
其他作者:	Teo, Kee L.
出版者:	Cham :Springer International Publishing : : 2022.,
面頁冊數:	x, 251 p. :ill., digital ;24 cm.
內容註:	Preface -- 1. Introduction -- 2. Infinite Products -- 3. The Gamma Function -- 4. Prime Numbers, Partitions and Products -- 5. Epilogue -- 6. Tables of Products -- References.
Contained By:	Springer Nature eBook
標題:	Products, Infinite. -
電子資源:	https://doi.org/10.1007/978-3-030-90646-7
ISBN:	9783030906467

An introduction to infinite products
Little, Charles H. C.

An introduction to infinite products[electronic resource] /by Charles H. C. Little, Kee L. Teo, Bruce van Brunt. - Cham :Springer International Publishing :2022. - x, 251 p. :ill., digital ;24 cm. - Sums readings,2730-5821. - Sums readings..

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.

ISBN: 9783030906467

Standard No.: 10.1007/978-3-030-90646-7doiSubjects--Topical Terms:

3593347
Products, Infinite.

LC Class. No.: QA295 / .L57 2022

Dewey Class. No.: 512.482

An introduction to infinite products
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520 $a 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.
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