MUNDO PREUNIVERSITARIO,МАТЕМАТИКА,MATHEMATIQUE MATHEMATICS,PHYSICS,ФИЗИКА,ШАХМАТЫ

quarta-feira, 12 de março de 2014

Smogorzhevsky A.S. Lobachevskian geometry (Mir, 1982)

The aim of this book is to acquaint the reader with the
fundamentals of Lobachevsky's non-Euclidean geometry.
The famous Russian mathematician N. I. Lobachevsky was an
outstanding thinker, to whom is credited one of the greatest
mathematical discoveries, the construction of an original geometric
system distinct from Euclid's geometry. The reader will find
a brief biography of N. I. Lobachevsky in Sec. 1.
Euclidean and Lobachevskian geometries have much in common,
differing only in their definitions, theorems and formulas as
regards the parallel-postulate. To clarify the reasons for these
differences we must consider how the basic geometric concepts
originated and developed, which is done in Sec. 2.
Apart from a knowledge of school plane geometry and
trigonometry reading our pamphlet calls for a knowledge of the
transformation known as inversion, the most important features
of which are reviewed in Sec. 3. We hope that the reader will
be able to grasp its principles with profit to himself and
without great difficulty, since it, and Sec. 10, play very important,
though ancillary, role in our exposition.
WEBSITE
https://www.mediafire.com/?tjx6py61gkku8vk

Selected problems and theorems in elementary mathematics Shklyarsky D.O., Chentsov N.N., Yaglom I.M.

Selected problems and theorems in elementary mathematics ARITHMETIC AND ALGEBRA
Shklyarsky D.O., Chentsov N.N., Yaglom I.M.
LINK WEBSITE ORIGINAL
http://en.bookfi.org/book/1220255
LINK ALTERNATIVO
https://www.mediafire.com/?z1l83z61d5zeu4y

In this video, I will demonstrate some realistic experiments that many children may have done as a game, but they have never asked the reason. First, I will show three simple experiments that they can easily do at home: 1- Rub two balloons on my hair. When I close them, they repel each other 2- Rub a balloon on my hair. Then roll a soda can toward the balloon. 3- This time, I will rub a balloon through my hair, and then try to bend a stream of water using it to different directions Now that they are excited, I will start explaining the reason. I will give a simple introduction about the positive and negative charges. Then I will draw how the charges are placed on the balloon, and how they redistribute the charges on nearby objects. license MIT TechTV
WEBSITE ORIGINAL
http://video.mit.edu/watch/electric-charges-8406/