عنوان
پدید آورنده
موضوع
رده
QA274.8
QA274
.
8
کتابخانه
محل استقرار
INTERNATIONAL STANDARD BOOK NUMBER
(Number (ISBN
1118400623
(Number (ISBN
111840064X
(Number (ISBN
1118400658
(Number (ISBN
1118400674
(Number (ISBN
1299648371
(Number (ISBN
9781118400623
(Number (ISBN
9781118400647
(Number (ISBN
9781118400654
(Number (ISBN
9781118400678
(Number (ISBN
9781299648371
Erroneous ISBN
1118393244
Erroneous ISBN
9781118393246
NATIONAL BIBLIOGRAPHY NUMBER
Number
dltt
PUBLISHER'S NUMBER
Publisher's Number
EB00063494
Source
Recorded Books
TITLE AND STATEMENT OF RESPONSIBILITY
Title Proper
Difference and differential equations with applications in queueing theory /
General Material Designation
[Book]
First Statement of Responsibility
Aliakbar M. Haghighi Department of Mathematics, Prairie View A and M University, Prairie View, Texas, Dimitar P. Mishev Department of Mathematics, Prairie View A and M University, Prairie View, Texas
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
1 online resource
INTERNAL BIBLIOGRAPHIES/INDEXES NOTE
Text of Note
Includes bibliographical references and index
CONTENTS NOTE
Text of Note
Cover; Title page; Copyright page; Contents; Preface; CHAPTER ONE: Probability and Statistics; 1.1. Basic Definitions and Concepts of Probability; 1.2. Discrete Random Variables and Probability Distribution Functions; 1.3. Moments of a Discrete Random Variable; 1.4. Continuous Random Variables; 1.5. Moments of a Continuous Random Variable; 1.6. Continuous Probability Distribution Functions; 1.7. Random Vector; 1.8. Continuous Random Vector; 1.9. Functions of a Random Variable; 1.10. Basic Elements of Statistics; 1.10.1. Measures of Central Tendency; 1.10.2. Measure of Dispersion
Text of Note
1.10.3. Properties of Sample Statistics1.11. Inferential Statistics; 1.11.1. Point Estimation; 1.11.2. Interval Estimation; 1.12. Hypothesis Testing; 1.13. Reliability; Exercises; CHAPTER TWO: Transforms; 2.1. Fourier Transform; 2.2. Laplace Transform; 2.3. Z-Transform; 2.4. Probability Generating Function; 2.4.1. Some Properties of a Probability Generating Function; Exercises; CHAPTER THREE: Differential Equations; 3.1. Basic Concepts and Definitions; 3.2. Existence and Uniqueness; 3.3. Separable Equations; 3.3.1. Method of Solving Separable Differential Equations
Text of Note
3.10. Miscellaneous Methods for Solving ODE3.10.1. Cauchy-Euler Equation; 3.10.2. Elimination Method to Solve Differential Equations; 3.10.3. Application of Laplace Transform to Solve ODE; 3.10.4. Solution of Linear ODE Using Power Series; 3.11. Applications of the Second-Order ODE; 3.11.1. Spring-Mass System: Free Undamped Motion; 3.11.2. Damped-Free Vibration; 3.12. Introduction to PDE: Basic Concepts; 3.12.1. First-Order Partial Differential Equations; 3.12.2. Second-Order Partial Differential Equations; Exercises; CHAPTER FOUR: Difference Equations; 4.1. Basic Terms
Text of Note
3.4. Linear Differential Equations3.4.1. Method of Solving a Linear First-Order Differential Equation; 3.5. Exact Differential Equations; 3.6. Solution of the First ODE by Substitution Method; 3.6.1. Substitution Method; 3.6.2. Reduction to Separation of Variables; 3.7. Applications of the First-Order ODEs; 3.8. Second-Order Homogeneous ODE; 3.8.1. Solving a Linear Homogeneous Second-Order Differential Equation; 3.9. The Second-Order Nonhomogeneous Linear ODE with Constant Coefficients; 3.9.1. Method of Undetermined Coefficients; 3.9.2. Variation of Parameters Method
Text of Note
4.2. Linear Homogeneous Difference Equations with Constant Coefficients4.3. Linear Nonhomogeneous Difference Equations with Constant Coefficients; 4.3.1. Characteristic Equation Method; 4.3.2. Recursive Method; 4.4. System of Linear Difference Equations; 4.4.1. Generating Functions Method; 4.5. Differential-Difference Equations; 4.6. Nonlinear Difference Equations; Exercises; CHAPTER FIVE: Queueing Theory; 5.1. Introduction; 5.2. Markov Chain and Markov Process; 5.3. Birth and Death (B-D) Process; 5.4. Introduction to Queueing Theory; 5.5. Single-Server Markovian Queue, M/M/1
Text of Note
5.5.1. Transient Queue Length Distribution for M/M/1
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8
8
8
8
8
SUMMARY OR ABSTRACT
Text of Note
"This book features a collection of topics that are used in stochastic processes and, particularly, in queueing theory. Differential equations, difference equations, and Markovian queues (as they relate to systems of linear differential difference equations) are presented, and the relationship between the methods and applications are thoroughly addressed"--
OTHER EDITION IN ANOTHER MEDIUM
Title
Difference and differential equations with applications in queueing theory.
International Standard Book Number
9781118393246
TOPICAL NAME USED AS SUBJECT
Difference equations
Differential equations
Queuing theory
Difference equations
Differential equations
Mathematics
Queuing theory
(SUBJECT CATEGORY (Provisional
MAT-- 003000
MAT-- 029000
DEWEY DECIMAL CLASSIFICATION
Number
519
.
8/2
Edition
23
LIBRARY OF CONGRESS CLASSIFICATION
Class number
QA274
.
8
PERSONAL NAME - PRIMARY RESPONSIBILITY
Haghighi, Aliakbar Montazer
PERSONAL NAME - ALTERNATIVE RESPONSIBILITY
Mishev, D. P., (Dimiter P.)
ORIGINATING SOURCE
Date of Transaction
20170726082143.0
Cataloguing Rules (Descriptive Conventions))
pn
ELECTRONIC LOCATION AND ACCESS
Electronic name
مطالعه متن کتاب [Book]
Y
