The Calculus of Finite Differences and Linear Difference Equations with Constant Coefficients

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Bibliographic Details
Published inApplied Mathematics for Engineers and Physicists p. 1
Main Authors Pipes, Louis A, Harvill, Lawrence R
Format Book Chapter
LanguageEnglish
Published United States Dover Publications 2014
Edition3rd Edition
Subjects
Online AccessGet full text

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Table of Contents:
  • 7.1 Introduction 7.2 The Fundamental Operators of the Calculus of Finite Differences 7.3 The Algebra of Operators 7.4 Fundamental Equations Satisfied by the Operators 7.5 Difference Tables 7.6 The Gregory-Newton Interpolation Formula 7.7 The Derivative of a Tabulated Function 7.8 The Integral of a Tabulated Function 7.9 A Summation Formula 7.10 Difference Equation with Constant Coefficients 7.11 Oscillations of a Chain of Particles Connected by Strings 7.12 An Electrical Line with Discontinuous Leaks 7.13 Filter Circuits 7.14 Four-Terminal-Network Connection with Matrix Algebra 7.15 Natural Frequencies of the Longitudinal Motions of Trains Problems References