Generating Functions in Engineering and the Applied Sciences is popular PDF and ePub book, written by Rajan Chattamvelli in 2022-05-31, it is a fantastic choice for those who relish reading online the Technology & Engineering genre. Let's immerse ourselves in this engaging Technology & Engineering book by exploring the summary and details provided below. Remember, Generating Functions in Engineering and the Applied Sciences can be Read Online from any device for your convenience.
Generating Functions in Engineering and the Applied Sciences Book PDF Summary
This is an introductory book on generating functions (GFs) and their applications. It discusses commonly encountered generating functions in engineering and applied sciences, such as ordinary generating functions (OGF), exponential generating functions (EGF), probability generating functions (PGF), etc. Some new GFs like Pochhammer generating functions for both rising and falling factorials are introduced in Chapter 2. Two novel GFs called "mean deviation generating function" (MDGF) and "survival function generating function" (SFGF), are introduced in Chapter 3. The mean deviation of a variety of discrete distributions are derived using the MDGF. The last chapter discusses a large number of applications in various disciplines including algebra, analysis of algorithms, polymer chemistry, combinatorics, graph theory, number theory, reliability, epidemiology, bio-informatics, genetics, management, economics, and statistics. Some background knowledge on GFs is often assumed for courses in analysis of algorithms, advanced data structures, digital signal processing (DSP), graph theory, etc. These are usually provided by either a course on "discrete mathematics" or "introduction to combinatorics." But, GFs are also used in automata theory, bio-informatics, differential equations, DSP, number theory, physical chemistry, reliability engineering, stochastic processes, and so on. Students of these courses may not have exposure to discrete mathematics or combinatorics. This book is written in such a way that even those who do not have prior knowledge can easily follow through the chapters, and apply the lessons learned in their respective disciplines. The purpose is to give a broad exposure to commonly used techniques of combinatorial mathematics, highlighting applications in a variety of disciplines.
Detail Book of Generating Functions in Engineering and the Applied Sciences PDF
- Author : Rajan Chattamvelli
- Release : 31 May 2022
- Publisher : Springer Nature
- ISBN : 9783031794100
- Genre : Technology & Engineering
- Total Page : 99 pages
- Language : English
- PDF File Size : 19,9 Mb
If you're still pondering over how to secure a PDF or EPUB version of the book Generating Functions in Engineering and the Applied Sciences by Rajan Chattamvelli, don't worry! All you have to do is click the 'Get Book' buttons below to kick off your Download or Read Online journey. Just a friendly reminder: we don't upload or host the files ourselves.