这是一本较新的为理工科本科水平的读者写的工具书（pdf）。 Chapter 1.Elementary Algebra and Geometry Chapter 2.Determinants, Matrices,and Linear Systems of Equations Chapter 3.Trigonometry Chapter 4.Analytic Geometry Chapter 5.Series, Number Facts, and Theory Chapter 6.Differential Calculus Chapter 7.Integral Calculus Chapter 8.Vector Analysis Chapter 9.Special Functions Chapter 10.Differential Equations Chapter 11.Statistics Chapter 12.Financial Mathematics

Mathematical的一些基础应用，内容包括：第一讲Mathematica软件环境介绍.ppt第

本课件适用于电子类专业学习，包括：离散时间信号和离散时间系统、序列的傅里叶变换、Z变换、离散傅立叶变换DFT、FFT、时域离散系统的基本网络结构、无限脉冲响应数字滤波器的设计、有限脉冲响应数字滤波器的设计等，附作业。

Pronunciation of mathematical expressions The pronunciations of the most common mathematical expressions are given in the list below. In general, the shortest versions are preferred (unless greater precision is necessary)

数学模型(Mathematical Model)：对于一个特定的 对象，为了一个特定的目标，根据特有的内在规律，做出一 些必要的简化假设，运用适当的数学工具，得到一个数学结 构。 数学建模(Mathematical Modeling)：建立数学模型 的全过程，通常包括问题分析、模型建立、模型求解、结果 检验和应用

1.1 Mathematical formulation （数学描述）of heat transfer and fluid flow (HT & FF) problems 1.2 Basic concepts of NHT, its importance and application examples 1.3 Mathematical and physical classification of HT & FF problems and its effects on numerical solution

2.1 Method-1：Modeling with Experiments 2.2 Method -2：Modeling with Simulation 2.3 Realization with Matlab

Mathematical basis of stability analysis =f(x,y) system of two coupled differential equations y=g(x,y) step 1 find nullclines and fixed point(s)