MATHADVANCED

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We cover college level mathematical topics, focussing more on Abstract and Linear Algebra, Number Theory, often diving into Analytical subjects as well. We f...

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Discrete Valuations

GEOMETRIC REPRESENTATION OF ALGEBRAIC NUMBERS-1

THE 4-SQUARE THEOREM

THE TWO SQUARE THEOREM

The MINKOWSKI'S THEOREM

VOLUME

THE TORUS

LATTICE

Concept of Z-Basis and Unimodular Matrices

FIELDS 2

IDENTIFICATION SPACES- FINAL

IDENTIFICATION SPACES-2

IDENTIFICATION TOPOLOGICAL SPACES-1

POLYNOMIAL RINGS and MATRIX RINGS

INTRODUCTION TO FIELD EXTENSIONS

COUNTING COPRIMES using RINGS

RIGID MOTIONS

UNITARY OPERATORS CONTINUED and UNITARY EQUIVALENCE

UNIQUE FACTORIZATION DOMAIN

EUCLIDEAN DOMAIN-2 and PID

EUCLIDEAN DOMAIN-1

PROPERTIES OF IDEALS, AND MAXIMAL IDEALS

ANALYTICAL EXAMPLES FOR RINGS

Diophantine equation has no solution

SELF ADJOINT, UNITARY AND ORTHOGONAL OPERATORS-1

NORMAL OPERATORS

Introduction to Rings-2

INTRODUCTION TO RINGS-1

EULER'S THEOREM USING GROUP THEORY

LEAST SQUARE APPROXIMATIONS and MINIMAL SOLUTION TO SYSTEM OF LINEAR EQUATIONS