03270nam 22005775 450 991052292460332120251202165940.03-030-90646-910.1007/978-3-030-90646-7(MiAaPQ)EBC6850566(Au-PeEL)EBL6850566(CKB)20639417100041(PPN)269154086(OCoLC)1291732445(DE-He213)978-3-030-90646-7(EXLCZ)992063941710004120220110d2022 u| 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierAn Introduction to Infinite Products /by Charles H. C. Little, Kee L. Teo, Bruce van Brunt1st ed. 2022.Cham :Springer International Publishing :Imprint: Springer,2022.1 online resource (258 pages)SUMS Readings,2730-5821Print version: Little, Charles H. C. An Introduction to Infinite Products Cham : Springer International Publishing AG,c2022 9783030906450 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.SUMS Readings,2730-5821Sequences (Mathematics)Mathematical analysisSequences, Series, SummabilityAnalysisSequences (Mathematics)Mathematical analysis.Sequences, Series, Summability.Analysis.515.243515.243Little Charles H. C.534903Teo Kee L.Brunt Bruce vanMiAaPQMiAaPQMiAaPQBOOK9910522924603321An introduction to infinite products2789010UNINA