INTRODUCTORY REMARKS


3.2
Galois Fields

0.1 Odd and even numbers 

3.3 The
fields K(t) 
0.2 Mathematical
Induction 

3.4 lrreducibility
of polynomials 
0.3 Permutations 

3.5 Symmetric polynomials 
I
Algebra


36. Solution of special equations by radicals: 
1.1 Introduction
 A dialogue 

3.7 Resultants 
1.2 nvectors 

3.8 Closed fields 
1.3
Vector Spaces 

IV
Continued Fractions

1.4 Matrices. Method of sweep out 

4.1 General properties of
continued fractions 
1.5 Orthogonality. Homogeneous
linear equations 

4.2
Representation of positive numbers by continued fractions

1.6 Systems
of nonhomogeneous linear equations 

4.3 Periodic continued fractions with integral
coefficients 
1.7 Method of orthogonalization 

44. Applications to the theory
of numbers: 
1.8 Determinants 

4.5 Continued fractions with
elements f(x) 
1.9 Minors
of a determinant 

4.6 Continued fractions with
rational elements 
1.10 Solution
of systems of linear equations by means of determinants 

V Approximation of Roots

l11 Linear
transformations 

5.0 Introduction: Another dialogue 
II Fundamentals of General Algebra


5.1
Horner's scheme

2.1 Principal notions 

5.2 Roots
of real polynomials 
2.2 Fields 

5.3 Graeffe's Method 
2.3 Polynamials 

5.4 Roots of complex
polynomials. 
2.4 Factorisation 

5.5 Interpolation 
2.5 The
fundamental theorem of General Algebra 

VI Matrices

2.6. Extension
of a field 

6.1 Addition
and multiplication of matrices of degree n 
2.7 Repeated
extension of a field 

6.2 Transformation
of vector spaces 
III General Algebra.
Specific Theory 

6.3 The
characteristie polynomial of a matrix 
3.1 Cyclotomic Polynomials 

