# Fermat Numbers

Fermat Numbers, a class of numbers, are the integers of the form \$ F_n=2^{2^n} +1 \ \ n \ge 0\$ . For example: Putting \$ n := 0,1,2 \ldots\$ in \$ F_n=2^{2^n}\$ we get \$ F_0=3\$ , \$ F_1=5\$ , \$ F_2=17\$ , \$ F_3=257\$ etc. Fermat observed that all

# Nanostory of Nanotechnology

This is a small story of Nanotechnology, one of the most advanced and trending topics in physics. Nanotechnology has become a widely discussed topic today in newspapers, magazines, journals, blogs and even in television ads. It’s very common that some organization announcing ‘yet another’ “nano-conference”. Nanotechnology or nanotech in short, refers

# Free Online Algebra and Topology Books

This is a brief list of free e-books on Algebra, Topology and Related Mathematics. I hope it will be very helpful to all students and teachers searching for high quality content. If any link is broken, please email me at gaurav(at)gauravtiwari.org. Abstract Algebra OnLine by Prof. Beachy This site contains

# Milnor wins 2011 Abel Prize

The Norwegian Academy of Science and Letters has decided to award the Abel Prize for 2011 to John Milnor, Institute for Mathematical Sciences, Stony Brook University, New York “for pioneering discoveries in topology, geometry and algebra”. The President of the Norwegian Academy of Science and Letters, Øyvind Østerud, announced the

# Jablonski Diagram – Consequences of Light Absorption

All about the Light Absorption’s theory on the basis of Jablonski diagram. According to the Grotthus – Draper Law of photo-chemical activation: Only that light which is absorbed by a system, can bring a photo-chemical change. However it is not true that all the kind of light(s) that are absorbed could