


Title

Ramanujan's Notebook





Abstract 
Srinivasa Ramanujan FRS (22 December 1887 – 26 April 1920) was an Indian mathematician and autodidact who, with almost no formal training in pure mathematics, made extraordinary contributions to mathematical analysis, number theory, infinite series, and continued fractions. Living in India with no access to the larger mathematical community, which was centred in Europe at the time, Ramanujan developed his own mathematical research in isolation. As a result, he rediscovered known theorems in addition to producing new work. Ramanujan was said to be a natural genius by the English mathematician G. H. Hardy, in the same league as mathematicians such as Euler and Gauss. 


Title

How to Solve Differential Equations using Mat...





Abstract 
How to solve differential equations using Mathematica. Demonstrates Solving First Order and Second Order Differential equations and Solving Differential Equations with boundary conditions, i.e. finding the arbitrary constants.



Title

David Waite's Transformation Equation's





Abstract 
In physics, the Lorentz transformation converts between two different observers' measurements of space and time, where one observer is in constant motion with respect to the other. In classical physics (Galilean relativity), the only conversion believed necessary was x' = x − vt, describing how the origin of one observer's coordinate system slides through space with respect to the other's, at speed v and along the xaxis of each frame. According to special relativity, this is only a good approximation at much smaller speeds than the speed of light, and in general the result is not just an offsetting of the x coordinates; lengths and times are distorted as well.
If space is homogeneous, then the Lorentz transformation must be a linear transformation. Also, since relativity postulates that the speed of light is the same for all observers, it must preserve the spacetime interval between any two events in Minkowski space. The Lorentz transformations describe only the transformations in which the event at x=0, t=0 is left fixed, so they can be considered as a rotation of Minkowski space. The more general set of transformations that also includes translations is known as the Poincaré group. 


Title

Greedy Computation of a Homotopy Basis for a ...





Abstract 
I found this video on the web and it does not belong to me. However i thought this will be of interets to the community. Thanks Keenan for this wonderful work. Following is quoted from Keenan. "Several tools from topology are useful for mesh processing and computer graphics. These tools often operate on the 1skeleton of a surface, i.e., the graph of edges embedded in the surface. A common task is to find a collection of edges called a cut graph  cutting along these paths turns the surface into a shape which can be flattened into the plane. This kind of flattening is necessary for texture mapping, remeshing, etc. One way to find a cut graph is to find a set of loops, no two of which are homologous, which cut the surface into a disk when removed. Intuitively, two loops on a surface are homologous if one can be deformed into the other while always keeping it entirely on the surface. For a closed orientable surface with genus g (i.e., a torus with g handles), there are 2g classes of homologically independent loops. A homology basis consists of one loop from each class. Not every homology basis is a cut graph: some homology bases either disconnect the surface or cut it into a punctured sphere. However, a homot... 


Title

MIT OCW  18.086 Mathematical Methods for Eng...





Abstract 
Mathematical Methods for Engineers II by Gilbert Strang (MIT OCW 18.086 March 3). William Gilbert Strang, usually known as simply Gilbert Strang, is a renowned American mathematician, with contributions to finite element theory, the calculus of variations, and wavelet analysis. He has made many contributions to mathematics education, including publishing six classic mathematics textbooks and one definitive monograph. Strang is a Professor of Mathematics at the Massachusetts Institute of Technology.



Title

MIT OCW Math  Diff Equations Lecture 1





Abstract 
These video lectures of Professor Arthur Mattuck teaching 18.03 were recorded live in the Spring 2003 and do not correspond precisely to the lectures taught in the Spring of 2006. Professor Mattuck has inspired and informed generations of MIT students with his engaging lectures. The videotaping was made possible by The d'Arbeloff Fund for Excellence in MIT Education.



Title

MIT OCW Math  Diff Equations Lecture 2





Abstract 
These video lectures of Professor Arthur Mattuck teaching 18.03 were recorded live in the Spring 2003 and do not correspond precisely to the lectures taught in the Spring of 2006. Professor Mattuck has inspired and informed generations of MIT students with his engaging lectures.
The videotaping was made possible by The d'Arbeloff Fund for Excellence in MIT Education.



Title

Lugosi teaches math  Absolute convergence1





Abstract 
Béla Lugosi teaches teaches advanced mathematical concepts. This is rare footage of Lugosi in his last on screen contibution in what is consdered by many a low point in his career and what is considered by some inspirational. This educational series was left unfinised due to Lugosi's death in 1958. The series was an attempt to show undergraduate students that math is not scary. Lugosi's hidden love for mathematics is illuminated by his animated teaching style. 


Title

Lugosi teaches math  Absolute convergence2





Abstract 
Béla Lugosi teaches teaches advanced mathematical concepts. This is rare footage of Lugosi in his last on screen contibution in what is consdered by many a low point in his career and what is considered by some inspirational. This educational series was left unfinised due to Lugosi's death in 1958. The series was an attempt to show undergraduate students that math is not scary. Lugosi's hidden love for mathematics is illuminated by his animated teaching style. 


Title

Lugosi teaches math  Many Vs Infinite 1





Abstract 
Béla Lugosi teaches teaches advanced mathematical concepts. This is rare footage of Lugosi in his last on screen contibution in what is consdered by many a low point in his career and what is considered by some inspirational. This educational series was left unfinised due to Lugosi's death in 1958. The series was an attempt to show undergraduate students that math is not scary. Lugosi's hidden love for mathematics is illuminated by his animated teaching style 

