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

Using Present Value Formulas to value Known Flows The Basic Building Blocks: Pure Discount Bonds Coupon Bonds, Current Yield, and Yield-To-Maturity Reading Bond Listings Why Yields for the Same Maturity Differ The Behavior of Bond Prices over Time

1 Finite difference formulas 1.1 Problem definition We have seen that one of the necessary ingredients in devising finite differe

1、命题(Proposition) 2、从简单命题(atomic proposition)到 复合命题(compositional proposition) 3、从命题常量(propositional constant)到 命题变量(propositional variable) 4、从复合命题(compositional proposition)到 命题公式(propositional formulas)

1 Introduction 2 Deterministic Dynamic Programming and Viscosity Solutions 2.1 Introduction 2.2 Value Functions are Viscosity Solutions 2.3 Comparison and Uniqueness 3 Stochastic Control 3.1 Some Probability Theory 3.2 Controlled State Space Models 3.3 Filtering 3.4 Dynamic Programming - Case I : Complete State Information 3.5 Dynamic Programming - Case II : Partial State Information 3.6 Two Continuous Time Problems 4 Robust Control 4.1 Introduction and Background 4.2 The Standard Problem of H∞ Control 4.3 The Solution for Linear Systems 4.4 Risk-Sensitive Stochastic Control and Robustness 5 Optimal Feedback Control of Quantum Systems 5.1 Preliminaries 5.2 The Feedback Control Problem 5.3 Conditional Dynamics 5.4 Optimal Control 5.5 Appendix: Formulas for the Two-State System with Feedback Example 6 Optimal Risk-Sensitive Feedback Control of Quantum Systems 6.1 System Model

• 6.1 Exponential pipe-friction formulas • 6.2 Single pipes • 6.3 Hydraulic and energy grade lines • 6.4 The siphon • 6.5 Pipes in series • 6.6 Pipes in parallel • 6.7 Networks of pipes