This book is written in simple and lucid language. This is a rigorous basic book dealing preliminary with concept of counting. It contains preliminary set theory, functions, sequence, permutation, combinations, generating functions and other counting methods, and preliminary theory and solving more problems with pictorial representation for the independent study for classroom use. This book is a reference for many courses wherever necessary at any level. Combinatorics is one of the important areas of mathematics and real life today. The study of counting is learning from childhood to onward at different classes. The topic is very essential and useful for different areas of mathematics. Counting is used frequently in computer science study to obtain formulas and estimates in the analysis of algorithms. It is useful at every classes and competitive examinations. The author has paid particular attention to the presentation, clarity and arrangements of the topic or material with diagrams.
Contents –
1. Sets
2. Functions
3. Sequences
4. Generating Function
5. Recurrence Relation
6. Basic Counting
7. Advanced Counting Techniques
