¸ maolinfan@163. com¸Abstract : Combinatorics is a powerful tool for dealing with relations among objectives mushroomed in the past century. However, an even more important work for mathematician is to apply combinatorics to other mathematics and other sciences beside just to find combinatorial behavior for objectives. In the past few years, works of this kind frequently appeared on journals fo...

Generating function is an effective method to solve combinatorial counting problem, but it most likely to be neglected in combinatorial mathematics teaching. In this paper, we provides a demonstration for combinatorial mathematics teaching improvement by using the generating function solving combination number and the sum of preceding n terms among sequence of numbers.

¸ maolinfan@163. com¸Abstract : Combinatorics is a powerful tool for dealing with relations among objectives mushroomed in the past century. However, an more important work for mathematician is to apply combinatorics to other mathematics and other sciences not merely to find combinatorial behavior for objectives. Recently, such research works appeared on journals for mathematics and theoretical...

This article demonstrates the importance of skills in asking questions and the value of spreadsheets in seeking answers in the spirit of experimental mathematics. This is accomplished through an activity with straws recommended for lower elementary mathematics classrooms that was expanded to a combinatorial inquiry into the triangle inequality. Whereas the article is a reflection on a mathemati...

Preparing the books to read every day is enjoyable for many people. However, there are still many people who also don't like reading. This is a problem. But, when you can support others to start reading, it will be better. One of the books that can be recommended for new readers is handbook of discrete and combinatorial mathematics. This book is not kind of difficult book to read. It can be rea...

The article explores the development of combinatorial analysis from idea to scientific schools. Combinatorial research was stimulated by G.W. Leibniz's ideas about art and special geometric – Analysis Situs in 17th century. Various problems were solved L. Euler XVIII first school arose K.F. Hindenburg second half 18th century Germany. Combinatorial-geometric configurations studied 19th A. Cayle...

My research interests lie in Discrete Mathematics, especially Combinatorics, Graph Theory, Combinatorial Geometry, and Combinatorial Number Theory. For me, the most exciting aspect of working in discrete mathematics is the prevalence of combinatorial problems in various fields of mathematics and various applications to Computer Science and real life problems such as building transmitters in a t...