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024 7 $a10.1007/978-3-030-90646-7
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035   $a(PPN)269154086
035   $a(OCoLC)1291732445
035   $a(DE-He213)978-3-030-90646-7
035   $a(EXLCZ)9920639417100041
100   $a20220110d2022      u|         0
101 0 $aeng
135   $aurcnu||||||||
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 13$aAn Introduction to Infinite Products /$fby Charles H. C. Little, Kee L. Teo, Bruce van Brunt
205   $a1st ed. 2022.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2022.
215   $a1 online resource (258 pages)
225 1 $aSUMS Readings,$x2730-5821
311 08$aPrint version: Little, Charles H. C. An Introduction to Infinite Products Cham : Springer International Publishing AG,c2022 9783030906450 
327   $aPreface -- 1. Introduction -- 2. Infinite Products -- 3. The Gamma Function -- 4. Prime Numbers, Partitions and Products -- 5. Epilogue -- 6. Tables of Products -- References.
330   $aThis text provides a detailed presentation of the main results for infinite products, as well as several applications. The target readership is a student familiar with the basics of real analysis of a single variable and a first course in complex analysis up to and including the calculus of residues. The book provides a detailed treatment of the main theoretical results and applications with a goal of providing the reader with a short introduction and motivation for present and future study. While the coverage does not include an exhaustive compilation of results, the reader will be armed with an understanding of infinite products within the course of more advanced studies, and, inspired by the sheer beauty of the mathematics. The book will serve as a reference for students of mathematics, physics and engineering, at the level of senior undergraduate or beginning graduate level, who want to know more about infinite products. It will also be of interest to instructors who teach courses that involve infinite products as well as mathematicians who wish to dive deeper into the subject. One could certainly design a special-topics class based on this book for undergraduates. The exercises give the reader a good opportunity to test their understanding of each section.
410  0$aSUMS Readings,$x2730-5821
606   $aSequences (Mathematics)
606   $aMathematical analysis
606   $aSequences, Series, Summability
606   $aAnalysis
615  0$aSequences (Mathematics)
615  0$aMathematical analysis.
615 14$aSequences, Series, Summability.
615 24$aAnalysis.
676   $a515.243
676   $a515.243
700   $aLittle$b Charles H. C.$0534903
702   $aTeo$b Kee L.
702   $aBrunt$b Bruce van
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910522924603321
996   $aAn introduction to infinite products$92789010
997   $aUNINA