Generating Functions in Engineering and the Applied Sciences (Record no. 86246)
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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. |
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-- | text |
-- | txt |
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-- | computer |
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-- | rdamedia |
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-- | online resource |
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347 ## - | |
-- | text file |
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-- | 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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