## Search

Now showing items 1-10 of 16

#### An Introduction to Riemann Surfaces and Algebraic Curves: Complex 1-Tori and Elliptic Curves

(National Programme on Technology Enhanced Learning (NPTEL), 2014-02)

Modules/Lectures: Definitions and Examples of Riemann Surfaces; Classification of Riemann Surfaces; Universal Covering Space Theory; Classifying Moebius Transformations and Deck Transformations; The Riemann Surface Structure ...

#### Mathematical Logic

(National Programme on Technology Enhanced Learning (NPTEL), 2014-02)

Modules / Lectures : Sets and Strings; Syntax of Propositional Logic; Unique Parsing; Semantics of PL; Consequences and Equivalences; Five results about PL; Calculations and Informal Proofs; More Informal Proofs; Normal ...

#### Number Theory

(National Programme on Technology Enhanced Learning (NPTEL), 2014-02)

Modules / Lectures: Divisibility and Primes; Congruence; Number Theoretic Functions; Primitive Roots; Quadratic Residues; Binary Quadratic Forms; Integers of Special Forms; Continued Fractions; Riemann Zeta Function; ...

#### Discrete Mathematics

(National Programme on Technology Enhanced Learning (NPTEL), 2014-02)

Modules / Lectures : Properties of Integers and Basic Counting ; Advanced Counting and Generating Functions ; Groups and Polya Theory ; Topics in Classical Graph Theory .

#### Mathematics II

(National Programme on Technology Enhanced Learning (NPTEL), 2010)

38 Lectures in this course:
1 - Mod 1 - Lec 1 - Complex Integration (53:35)
2 - Mod 1 - Lec 2 - Contour Integration (1:00:46)
3 - Mod-1 Lec-3 Cauchy's Integral Theorem (49:43)
4 - Mod-1 Lec-4 Cauchy`s Integral Formula ...

#### Mathematics for Economists

(University of Cape Town, 2011)

This resources consists of comprehensive notes, tutorials and solutions for Honours level economics. Material covered includes linear algebra, comparative statics, optimisation, integration and differential equations and ...

#### Symmetry

(The Open University (OUUK), 2011)

We all encounter symmetry in our everyday lives, in both natural and man-made structures. The mathematical concepts surrounding symmetry can be a bit more difficult to grasp. This unit explains such concepts as direct and ...

#### Symmetries and Groups

(Gresham College, 2014-03)

One of the most important patterns that a mathematician looks for is whether or not an object has symmetries i.e. is left unchanged or invariant after some operation, for example reflection or rotation. A square has many ...

#### Numerical Optimization

(National Programme on Technology Enhanced Learning (NPTEL), 2014-01)

Modules / Lectures :
Introduction ;
Mathematical Background ;
Unconstrained Optimization ;
Convex Sets ;
Convex Functions ;
Unconstrained Optimization ;
Constrained ...

#### Advanced Abstract Algebra

(National Programme on Technology Enhanced Learning (NPTEL), 2014-02)

Modules/Lecture: Rings, Morphisms and anti-morphisms of rings; modules, submodules and direct sum, R-Homomorphism, simple modules/semisimple modules, free modules introduction & results; Artinian models, Noetherian modules, ...