國立高雄大學圖資館 |

Language: English

Back

An introduction to infinite products

Record Type:	Electronic resources : Monograph/item
Title/Author:	An introduction to infinite productsby Charles H. C. Little, Kee L. Teo, Bruce van Brunt.
Author:	Little, Charles H. C.
other author:	Teo, Kee L.
Published:	Cham :Springer International Publishing :2022.
Description:	x, 251 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Products, Infinite.
Online resource:	https://doi.org/10.1007/978-3-030-90646-7
ISBN:	9783030906467$q(electronic bk.)

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$q(electronic bk.)

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

524728
Products, Infinite.

LC Class. No.: QA295 / .L57 2022

Dewey Class. No.: 512.482

An introduction to infinite products
LDR:02493nmm a2200337 a 4500 001 619608
003 DE-He213
005 20220110163614.0
006 m d
007 cr nn 008maaau
008 221103s2022 sz s 0 eng d
020 $a 9783030906467$q(electronic bk.)
020 $a 9783030906450$q(paper)
024 7 $a 10.1007/978-3-030-90646-7 $2 doi
035 $a 978-3-030-90646-7
040 $a GP $c GP
041 0 $a eng
050 4 $a QA295 $b .L57 2022
072 7 $a PBK $2 bicssc
072 7 $a MAT034000 $2 bisacsh
072 7 $a PBK $2 thema
082 0 4 $a 512.482 $2 23
090 $a QA295 $b .L778 2022
100 1 $a Little, Charles H. C. $3 919979
245 1 3 $a An introduction to infinite products $h [electronic resource] / $c by Charles H. C. Little, Kee L. Teo, Bruce van Brunt.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2022.
300 $a x, 251 p. : $b ill., digital ; $c 24 cm.
490 1 $a Sums readings, $x 2730-5821
505 0 $a Preface -- 1. Introduction -- 2. Infinite Products -- 3. The Gamma Function -- 4. Prime Numbers, Partitions and Products -- 5. Epilogue -- 6. Tables of Products -- References.
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.
650 0 $a Products, Infinite. $3 524728
650 1 4 $a Sequences, Series, Summability. $3 275704
650 2 4 $a Analysis. $3 273775
700 1 $a Teo, Kee L. $3 725065
700 1 $a Van Brunt, B. $q (Bruce) $3 440303
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer Nature eBook
830 0 $a Sums readings. $3 919980
856 4 0 $u https://doi.org/10.1007/978-3-030-90646-7
950 $a Mathematics and Statistics (SpringerNature-11649)