Contents
(xiii)
Contents Foreword........................................................................................................................ (vii) Preface .............................................................................................................................(xi)
Chapter 1 Vector Spaces .................................................................................. 1 Chapter 2 Hermite Polynomials........................................................................ 25 Chapter 3 Functions .......................................................................................... 43 Chapter 4 Solution of Partial Differential Equations........................................ 55 Chapter 5 Numerical Solution of Partial Differential Equations ...................................................................... 87 Chapter 6 Fourier Transform .......................................................................... 122 Chapter 7 The Discrete Fourier Transform .................................................... 151
Contents
(xiv)
Chapter 8 Wavelet and Haar Transform ......................................................... 163 Chapter 9 Theory of Probability ..................................................................... 168 Chapter 10 Theoretical Distribution ................................................................. 197 Chapter 11 Sampling Distribution (Large Samples) ........................................ 257 Chapter 12 Theory of Estimation ..................................................................... 283 Chapter 13 Theory of Testing a Hypothesis ..................................................... 307 Chapter 14 Markov Analysis ........................................................................... 324 Chapter 15 Queuing Theory ........................................................................... 345 Chapter 16 Fuzzy Sets ...................................................................................... 390 Chapter 17 Decision Theory ........................................................................... 417 Chapter 18 Calculus of Variation ..................................................................... 439
Contents
(xv)
Chapter 19 Theory of Reliability and Fault Tolerance ..................................... 466 Chapter 20 Goal Programming ......................................................................... 483 Chapter 21 MATLAB ....................................................................................... 497