Generating Functions in Engineering and the Applied Sciences (Record no. 86246)

000 -LEADER
fixed length control field 04119nam a22006015i 4500
001 - CONTROL NUMBER
control field 978-3-031-21143-0
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20240730165323.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 221230s2023 sz | s |||| 0|eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
ISBN 9783031211430
-- 978-3-031-21143-0
082 04 - CLASSIFICATION NUMBER
Call Number 519
100 1# - AUTHOR NAME
Author Chattamvelli, Rajan.
245 10 - TITLE STATEMENT
Title Generating Functions in Engineering and the Applied Sciences
250 ## - EDITION STATEMENT
Edition statement 2nd ed. 2023.
300 ## - PHYSICAL DESCRIPTION
Number of Pages XIV, 119 p. 4 illus., 3 illus. in color.
490 1# - SERIES STATEMENT
Series statement Synthesis Lectures on Engineering, Science, and Technology,
505 0# - FORMATTED CONTENTS NOTE
Remark 2 Types of Generating Functions -- Operations on Generating Functions -- Generating Functions in Statistics -- Applications of Generating Functions -- Bibliography.
520 ## - SUMMARY, ETC.
Summary, etc Generating 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.
700 1# - AUTHOR 2
Author 2 Shanmugam, Ramalingam.
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier https://doi.org/10.1007/978-3-031-21143-0
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Koha item type eBooks
264 #1 -
-- Cham :
-- Springer Nature Switzerland :
-- Imprint: Springer,
-- 2023.
336 ## -
-- text
-- txt
-- rdacontent
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-- computer
-- c
-- rdamedia
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-- online resource
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-- rdacarrier
347 ## -
-- text file
-- PDF
-- rda
650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1
-- Statistics .
650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1
-- Discrete mathematics.
650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1
-- Engineering mathematics.
650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1
-- Financial engineering.
650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1
-- Finance.
650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1
-- Number theory.
650 14 - SUBJECT ADDED ENTRY--SUBJECT 1
-- Applied Statistics.
650 24 - SUBJECT ADDED ENTRY--SUBJECT 1
-- Discrete Mathematics.
650 24 - SUBJECT ADDED ENTRY--SUBJECT 1
-- Engineering Mathematics.
650 24 - SUBJECT ADDED ENTRY--SUBJECT 1
-- Financial Engineering.
650 24 - SUBJECT ADDED ENTRY--SUBJECT 1
-- Financial Economics.
650 24 - SUBJECT ADDED ENTRY--SUBJECT 1
-- Number Theory.
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
-- 2690-0327
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-- ZDB-2-SXSC

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