1 What Is Density Functional Theory? 2 DFT Calculations for Simple Solids 3 Nuts and Bolts of DFT Calculations 4 DFT Calculations for Surfaces of Solids 5 DFT Calculations of Vibrational Frequencies 6 Calculating Rates of Chemical Processes Using Transition State Theory 7 Equilibrium Phase Diagrams from Ab Initio Thermodynamics 8 Electronic Structure and Magnetic Properties 9 Ab Initio Molecular Dynamics 10 Accuracy and Methods beyond “Standard” Calculations

1 Linear Algebra Notations and Fundamental Concepts Matrix Multiplication Operational Properties Linear Space Quadratic Form and Positive Definite Matrix Matrix Calculus 2 Probability Theory Probability Space Random Variable and Its Distribution Numerical Characteristics of Random Variables Conditional Expectation Jenson’s Inequality

The first three chapters cover the standard material on sets, relations, and functions and algorithms. Next come chapters on logic, counting, and probability. We then have three chapters on graph theory: graphs, directed graphs, and binary trees. Finally there are individual chapters on properties of the integers, languages, machines, ordered sets and lattices, and Boolean algebra, and appendices on vectors and matrices, and algebraic systems. The chapter on functions and algorithms includes a discussion of cardinality and countable sets, and complexity. The chapters on graph theory include discussions on planarity, traversability, minimal paths, and Warshall’s and Huffman’s algorithms. We emphasize that the chapters have been written so that the order can be changed without difficulty and without loss of continuity

1 Preliminaries The Integers 3 Groups 4 Cyclic Groups 5 Permutation Groups 6.1 Cosets 7 Introduction to Cryptography 8 Algebraic Coding Theory 9 Isomorphisms 10 Normal Subgroups and Factor Groups 11 Homomorphisms 12 Matrix Groups and Symmetry 13 The Structure of Groups 14 Group Actions 15 The Sylow Theorems 16 Rings 17 Polynomials 18 Integral Domains 19 Lattices and Boolean Algebras 20 Vector Spaces 21 Fields 22 Finite Fields 23 Galois Theory

Yale law School Public Law and Legal Theory Research Paper No 52 Center for Law, Economics and Public policy Research Paper No 275 University of virginia School of Law Law and economics research Paper series Research Paper No. 03-1 Contract Theory and the limits of Contract Law Alan Schwartz and robert e. scott

◼ BCS-BEC crossover theory and pair fluctuation theory ◼ Gauge invariant linear response in BCS mean field theory: Consistent Fluctuation of Order parameter (CFOP) ◼ A diagrammatic derivation of CFOP ◼ Gauge invariant linear response with pair fluctuation ◼ Summary

Game theory 1 Classic models of oligopoly Game theory 2 Dynamic models of oligopoly Product differentiation Identifying and measuring market power Ch. 8 Classic models of oligopoly Ch. 9 game theory 2 Ch. 10 dynamic models of oligopoly • Reaching an agreement • Stronger, swifter, more certain • Dynamic games • Supergames • Factors that influence the sustainability of collusion • Facilitating practices • Antitrust and collusion • Summary Ch. 11 product differentiation • What is product differentiation? • Monopolistic competition • Bias in product selection • Address models • Strategic behavior • Oligopoly equilibrium in vertically differentiated markets • Summary Ch. 12 Identifying and measuring market power • Structure, conduct, and performance • The new empirical industrial organization • The NEIO and SCP: a summing up • Summary

第一节 Theory of Cardinal Utility 基数效用理论 第二节 Theory of Ordinal Utility: Analysis of Indifference Curve 序数效用论——无差异曲线分析

The Theory of Consumer Choice The theory of consumer choice addresses the following questions: – Do all demand curves slope downward? – How do wages affect labor supply? – How do interest rates affect household saving?

第一节 图底理论（Figure-Ground Theory） 第二节 连接理论（Linkage Theory） 第三节 场所理论 （Place Theory） 第四节 小结（summary） 第五节 城市设计的分析方法（Analysis methods of urban design）