Overview
- Authors:
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Charles H. C. Little
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Research Fellow and former Professor of Mathematics Institute of Fundamental Sciences, Massey University, Palmerston North, New Zealand
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Kee L. Teo
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Research Fellow and former Professor of Mathematics Institute of Fundamental Sciences, Massey University, Palmerston North, New Zealand
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Bruce van Brunt
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Associate Professor of Mathematics Institute of Fundamental Sciences, Massey University, Palmerston North, New Zealand
- 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
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Table of contents (6 chapters)
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- Charles H. C. Little, Kee L. Teo, Bruce van Brunt
Pages 1-37
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- Charles H. C. Little, Kee L. Teo, Bruce van Brunt
Pages 39-129
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- Charles H. C. Little, Kee L. Teo, Bruce van Brunt
Pages 131-191
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- Charles H. C. Little, Kee L. Teo, Bruce van Brunt
Pages 193-228
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- Charles H. C. Little, Kee L. Teo, Bruce van Brunt
Pages 229-236
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- Charles H. C. Little, Kee L. Teo, Bruce van Brunt
Pages 237-244
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Back Matter
Pages 245-251
About this book
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.
Reviews
“This is an excellent textbook … . It must be very satisfactory for students to learn the subject from such a nicely written book.” (Marcel G. de Bruin, zbMATH 1491.40001, 2022)
About the authors
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.
