An Introduction to Infinite Products

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Sprache: Englisch

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Beschreibung

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.

Über den Autor

Charles Little and Teo L. Kee are Emeritus professors of Mathematics at Massey University in New Zealand. Bruce van Brunt is professor and head of the Mathematics at Massey University in New Zealand.

Zusammenfassung

Exercises give readers ample opportunity to test their understanding of the material in each section

Provides a comprehensive treatment and a solid reference on infinite products, sequences, and series

Introduces the necessary concepts and appropriate background

Inhaltsverzeichnis

Preface.- 1. Introduction.- 2. Infinite Products.- 3. The Gamma Function.- 4. Prime Numbers, Partitions and Products.- 5. Epilogue.- 6. Tables of Products.- References.

Details

Erscheinungsjahr:	2022
Fachbereich:	Analysis
Genre:	Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Reihe:	SUMS Readings
Inhalt:	x 251 S.
ISBN-13:	9783030906450
ISBN-10:	3030906450
Sprache:	Englisch
Ausstattung / Beilage:	Paperback
Einband:	Kartoniert / Broschiert
Autor:	Little, Charles H. C. Brunt, Bruce van Teo, Kee L.
Auflage:	1st ed. 2022
Hersteller:	Springer International Publishing Springer International Publishing AG SUMS Readings
Maße:	235 x 155 x 15 mm
Von/Mit:	Charles H. C. Little (u. a.)
Erscheinungsdatum:	11.01.2022
Gewicht:	0,406 kg

Artikel-ID: 120652895