06983cam a2200985 i 4500 ocn830837653 OCoLC 20171107090152.0 m o d cr ||||||||||| 130320s2013 nju ob 001 0 eng 2013011634 9781118400647 (pdf) 111840064X (pdf) 9781118400654 1118400658 9781118400623 1118400623 9781118400678 1118400674 9781299648371 1299648371 9781118393246 (hardback) 1118393244 EB00063494 Recorded Books AU@ 000050679344 AU@ 000052918962 CHBIS 010026986 CHDSB 006144297 CHNEW 000604883 CHVBK 125828977 CHVBK 306242311 DEBBG BV041912867 DEBSZ 397556888 DEBSZ 431436789 DEBSZ 449362701 DKDLA 820120-katalog:000665199 NZ1 15340378 ZWZ 191455539 DEBBG BV043395669 (OCoLC)830837653 (OCoLC)854944031 (OCoLC)864911548 (OCoLC)880910348 (OCoLC)961636714 (OCoLC)962649790 DLC eng rda pn DLC YDX IDEBK E7B EBLCP N$T CUS DG1 YDXCP NOC UBY CDX DEBSZ COO RECBK CHVBK OCLCF AU@ DEBBG OCLCQ pcc MAIN QA274.8 MAT 003000 bisacsh MAT 029000 bisacsh 519.8/2 23 MAT029000 bisacsh Haghighi, Aliakbar Montazer. Difference and differential equations with applications in queueing theory / Aliakbar M. Haghighi Department of Mathematics, Prairie View A & M University, Prairie View, Texas, Dimitar P. Mishev Department of Mathematics, Prairie View A & M University, Prairie View, Texas. [electronic resource] Hoboken, New Jersey : John Wiley & Sons, Inc., [2013] 1 online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier Includes bibliographical references and index. 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. 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. 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. 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. 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. 5.5.1. Transient Queue Length Distribution for M/M/1. "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"-- Provided by publisher. Print version record and CIP data provided by publisher. Queuing theory. Difference equations. Differential equations. Difference equations. Differential equations. Mathematics. Queuing theory. MATHEMATICS Probability & Statistics General. bisacsh Difference equations. fast (OCoLC)fst00893419 Differential equations. fast (OCoLC)fst00893446 Queuing theory. fast (OCoLC)fst01085713 Warteschlangentheorie. (DE-588)4255044-0 gnd Differenzengleichung. (DE-588)4012264-5 gnd Differentialgleichung. (DE-588)4012249-9 gnd Electronic books. Mishev, D. P. (Dimiter P.) Print version: Haghighi, Aliakbar Montazer. Difference and differential equations with applications in queueing theory. Hoboken, New Jersey : John Wiley & Sons, Inc., [2013] 9781118393246 (DLC) 2013001302 (OCoLC)826076159 http://onlinelibrary.wiley.com/book/10.1002/9781118400678 Wiley Online Library ddc BK 206589 206589