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001 978-3-031-21143-0
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020 _a9783031211430
_9978-3-031-21143-0
024 7 _a10.1007/978-3-031-21143-0
_2doi
050 4 _aQA276-280
072 7 _aPBT
_2bicssc
072 7 _aMAT029000
_2bisacsh
072 7 _aPBT
_2thema
082 0 4 _a519
_223
100 1 _aChattamvelli, Rajan.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_988405
245 1 0 _aGenerating Functions in Engineering and the Applied Sciences
_h[electronic resource] /
_cby Rajan Chattamvelli, Ramalingam Shanmugam.
250 _a2nd ed. 2023.
264 1 _aCham :
_bSpringer Nature Switzerland :
_bImprint: Springer,
_c2023.
300 _aXIV, 119 p. 4 illus., 3 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aSynthesis Lectures on Engineering, Science, and Technology,
_x2690-0327
505 0 _aTypes of Generating Functions -- Operations on Generating Functions -- Generating Functions in Statistics -- Applications of Generating Functions -- Bibliography.
520 _aGenerating function (GF) is a mathematical technique to concisely represent a known ordered sequence into a simple continuous algebraic function in dummy variable(s). This Second Edition introduces commonly encountered generating functions (GFs) in engineering and applied sciences, such as ordinary GF (OGF), exponential GF (EGF), as also Dirichlet GF (DGF), Lambert GF (LGF), Logarithmic GF (LogGF), Hurwitz GF (HGF), Mittag-Lefler GF (MLGF), etc. This book is intended mainly for beginners in applied science and engineering fields to help them understand single-variable GFs and illustrate how to apply them in various practical problems. Specifically, the book discusses probability GFs (PGF), moment and cumulant GFs (MGF, CGF), mean deviation GFs (MDGF), survival function GFs (SFGF), rising and falling factorial GFs, factorial moment, and inverse factorial moment GFs. Applications of GFs in algebra, analysis of algorithms, bioinformatics, combinatorics, economics, finance, genomics, geometry, graph theory, management, number theory, polymer chemistry, reliability, statistics and structural engineering have been added to this new edition. This book is written in such a way that readers who do not have prior knowledge of the topic can easily follow through the chapters and apply the lessons learned in their respective disciplines. 1. Provides broad exposure to commonly used techniques of combinatorial mathematics 2. Introduces commonly encountered generating functions for researchers working in economics, finance, and statistics 3.Developed for beginners in science and engineering fields to help understand single-variable generating functions.
650 0 _aStatistics .
_931616
650 0 _aDiscrete mathematics.
_912873
650 0 _aEngineering mathematics.
_93254
650 0 _aFinancial engineering.
_988407
650 0 _aFinance.
_914133
650 0 _aNumber theory.
_913208
650 1 4 _aApplied Statistics.
_945885
650 2 4 _aDiscrete Mathematics.
_912873
650 2 4 _aEngineering Mathematics.
_93254
650 2 4 _aFinancial Engineering.
_988412
650 2 4 _aFinancial Economics.
_932067
650 2 4 _aNumber Theory.
_913208
700 1 _aShanmugam, Ramalingam.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_988414
710 2 _aSpringerLink (Online service)
_988415
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783031211423
776 0 8 _iPrinted edition:
_z9783031211447
776 0 8 _iPrinted edition:
_z9783031211454
830 0 _aSynthesis Lectures on Engineering, Science, and Technology,
_x2690-0327
_988416
856 4 0 _uhttps://doi.org/10.1007/978-3-031-21143-0
912 _aZDB-2-SXSC
942 _cEBK
999 _c86246
_d86246