Lecture Notes

Lecture Notes on Mathematical Olympiad Courses

Olympiad mathematics is not a collection of techniques of solving mathematical problems but a system for advancing mathematical education. This book is based on the lecture notes of the mathematical Olympiad training courses conducted by the author in Singapore. Its scope and depth not only covers and exceeds the usual syllabus, but introduces a variety concepts and methods in modern mathematics. In each lecture, the concepts, theories and methods are taken as the core. The examples are served to explain and enrich their intension and to indicate their applications. Besides, appropriate number of test questions is available for reader''s practice and testing purpose. Their detailed solutions are also conveniently provided. The examples are not very complicated so that readers can easily understand. There are many real competition questions included which students can use to verify their abilities. These test questions are from many countries, e.g. China, Russia, USA, Singapore, etc. In particular, the reader can find many questions from China, if he is interested in understanding mathematical Olympiad in China. This book serves as a useful textbook of mathematical Olympiad courses, or as a reference book for related teachers and researchers. Errata(s). Errata. Sample Chapter(s). Lecture 1: Operations on Rational Numbers (145k). Request Inspection Copy. Contents: .: Operations on Rational Numbers; Linear Equations of Single Variable; Multiplication Formulae; Absolute Value and Its Applications; Congruence of Triangles; Similarity of Triangles; Divisions of Polynomials; Solutions to Testing Questions; and other chapters. Readership: Mathematics students, school teachers, college lecturers, university professors; mathematics enthusiasts

Lecture Notes In State And Local Public Finance (Parts I And Ii)

This book is based on lectures conducted for two classes at the Maxwell School, Syracuse University: A Public Finance Seminar for PhD students in public administration and State and Local Public Finance for master's students in public administration.Topics covered include the role of voters in a federal system, the sorting of different households into different communities, the determinants of public service costs, the property tax and other sources of local (and state) revenue, fiscal aspects of economic development, and intergovernmental aid (especially for education).The notes for the Ph.D. class also cover several more advanced topics, such as the estimation of education production and cost functions, the capitalization of school quality into house values, and tax competition among jurisdictions. The focus in these notes is on the highly decentralized federal system in the United States, but many of the principles and much of the behavioral analysis in the class apply to other countries as well.These notes draw on Professor Yinger's extensive teaching experience and publication record in state and local public finance. They should prove useful to many teachers, scholars, and students who find topics in state and local public finance that they wish to pursue.

Lecture-notes on Theoretical Chemistry