6502 assembler with elementary algorithms 1985/86.

For 4th year mathematics students. Official name: Algebra superiore.
INTRODUCTION TO PROGRAMMING

Representation of numbers in base 16
Fundamental instructions
The Apple IIe monitor and the organization of the RAM
Some elementary programs in machine language
Addition of big integers

SOME CONCEPTS IN COMPLEXITY

Computation of rational functions
Growth order of functions
Computation of bilinear forms
Rank of a tensor

HARMONIC ANALYSIS IN FINITE-DIMENSIONAL VECTOR SPACES

The continuous Fourier transform
Significance of complex oscillations in systems theory
Some Fourier transforms
Properties of the continuous Fourier transform
Distributions
Discrete Fourier transform
The convolution theorem
The Fourier transform as unitary operator in L^2
The discrete Fourier transform as a unitary operator
Characters and Fourier series in finite abelian groups
Fourier series of periodic functions
The continuous Poisson summation formula
The inversion formula for the theta function
The theta function in heat diffusion
The discrete Poisson summation formula

FAST FOURIER TRANSFORM

The Cooley-Tukey algorithm
Analysis of the Cooley-Tukey algorithm
A program for the Cooley-Tukey algorithm

HARMONIC ANALYSIS OF SIGNALS

Signals
Heisenberg's inequality and the indeterminacy principle
The indeterminacy principle in quantum mechanics
Some concepts in probability
Tables