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

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

§9.1 Valence Bond Theory §9.4 Bond Parameters §9.3 Molecular Orbital Theory §9.2 Valence Shell Electron Pair Repulsion (VSEPR) Theory

§5.1 Theory of hybrid orbital and atomic orbital hybridization §5.2 Valence Shell Electron-Pair Repulsion (VSEPR) Model §5.3 Delocalized molecular orbital theory §5.4 Hückel molecular orbital theory and conjugated system §5 The symmetry of molecular orbital and symmetry rules for molecular reactions

§5.1 Theory of hybrid orbital and atomic orbital hybridization §5.2 Valence Shell Electron-Pair Repulsion (VSEPR) Model §5.3 Hückel molecular orbital theory and conjugated system §5.4 Delocalized molecular orbital theory §5 The symmetry of molecular orbital and symmetry rules for molecular reactions

F= = F + “ = ” + 2 Axiom Schemata Axiom Schema 6 x = x. Axiom Schema 7 x = y ⊃ (SzxA ⊃ SzyA) where A is an atomic wff. A first order theory is a first-order theory with equality if it has a binary predicate = such that the wffs above are theorem of the theory

Brannon-Peppas theory of swelling in ionic hydrogels Original theory for elastic networks developed by Flory and Mehrer, refined for treatment of ionic hydrogels by Brannon-Peppas and Peppas Other theoretical treatments Derivation of ionic hydrogel swelling Model structure of the system

This handout provides the essential elements needed to understand finite random matrix theory. A cursory observation should reveal that the tools for infinite random matrix theory are quite different from the tools for finite random matrix theory. Nonetheless

本章主要内容： ◼ 第一节 博弈论学科的产生、发展和演变过程 1 博弈论(Game Theory)学科的研究对象； 2 博弈论(Game Theory)学科的产生和发展； 3 90年代以来博弈论的3个发展动向； ◼ 第二节 博弈论与“理性”概念 1 人类对理性认识的历史发展过程； 2 理性与有限理性、非理性的概念； 3 博弈论中理性概念的内涵

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?