Discrete Mathematics Application Tutorial

Author: Xi Dexun Du Dexun
Publisher:
Publish Date: 2004-08-01
Features: This book is a highly applied textbook, with only one-fifth of its content covering the fundamentals of discrete mathematics, while the remaining four-fifths focuses on discrete transformations and discrete optimization. The book is divided into four chapters. Chapter 1 is on the fundamentals of discrete mathematics, introducing basic concepts and methods of discrete mathematics involved in applied physics, information processing, automatic control, and computer science: sets, relations, and functions, undirected graphs and directed graphs, discrete number functions, recursion, groups, lattices, Boolean algebras, and function spaces. Chapter 2 is on discrete transformations, covering various discrete Fourier transforms and discrete wavelet transforms, sampling processes and the sampling theorem, Z-transforms, and Z-domain Hilbert transforms. Chapter 3 is on discrete fractional transformations, including fractional Fourier transforms and fractional Z-transforms. Chapter 4 is on discrete state space...