DISCRETE NUMERICAL FUNCTIONS

This textbook is a primer on discrete numerical functions and associated notation. It is a useful text for research students or any candidate undertaking studies in a numerate field of study.

1.1 INTRODUCTION
1.2 DISCRETE NUMERIC FUNCTION
1.3 MANIPULATION OF NUMERIC FUNCTIONS
1.4 THE ACCUMULATED SUM
1.5 THE FORWARD DIFFERENCE AND THE BACKWARD DIFFERENCE OF THE NUMERIC FUNCTIONS
1.6 CONVOLUTION OF TWO NUMERIC FUNCTIONS
1.7 ASYMPTOTIC BEHAVIOUR OF NUMERIC FUNCTIONS
1.8 ORDER A OR BIG-OH OF A
1.9 BIG OMEGA AND BIG THETA NOTATION
1.10 GENERATING FUNCTION
1.11 COMBINATIONAL PROBLEM (AS APPLICATION OF GENERATING FUNCTION)
1.12 EXPONENTIAL GENERATING FUNCTIONS
1.13 PROPERTIES OF GENERATING FUNCTIONS