Demonstration of the use of simple counting arguments to describe number patterns; numerous hints and references.

Mathematics is the science of patterns, and mathematicians attempt to understand these patterns and discover new ones using a variety of tools. In Proofs That R

This book is a gentle introduction to the enumerative part of combinatorics suitable for study at the advanced undergraduate or beginning graduate level. In add

This gentle introduction to discrete mathematics is written for first and second year math majors, especially those who intend to teach. The text began as a set

Bijective proofs are some of the most elegant and powerful techniques in all of mathematics. Suitable for readers without prior background in algebra or combina