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sábado, 27 de outubro de 2018

Contests in Higher Mathematics: Miklós Schweitzer Competitions 1962-1991 / Edition 1 by Gabor J. Szekely -PART 1





LINK DEMO BOOK GOOGLE
https://books.google.com.br/books?id=3f7ZBwAAQBAJ&lpg=PR4&ots=pb2ELoIenJ&dq=gabor%20j%20szekely%20contests%20in%20higher%20mathematics&hl=pt-BR&pg=PA11#v=onepage&q&f=false
LINK FULL BOOK
Overview Contests in Higher Mathematics: Miklós Schweitzer Competitions 1962-1991 / Edition 1
 One of the most effective ways to stimulate students to enjoy intellectual efforts is the scientific competition. In 1894 the Hungarian Mathematical and Physical Society introduced a mathematical competition for high school students. The success of high school competitions led the Mathematical Society to found a college level contest, named after Miklo's Schweitzer. The problems of the Schweitzer Contests are proposed and selected by the most prominent Hungarian mathematicians. This book collects the problems posed in the contests between 1962 and 1991 which range from algebra, combinatorics, theory of functions, geometry, measure theory, number theory, operator theory, probability theory, topology, to set theory. The second part contains the solutions. The Schweitzer competition is one of the most unique in the world. The experience shows that this competition helps to identify research talents. This collection of problems and solutions in several fields in mathematics can serve as a guide for many undergraduates and young mathematicians. The large variety of research level problems might be of interest for more mature mathematicians and historians of mathematics as well.

The Geometry of Homological Triangles Florentin Smarandache, Ion Patrascu



The Geometry of Homological Triangles Florentin Smarandache, Ion Patrascu (Submitted on 7 Apr 2012) This book is addressed to students, professors and researchers of geometry, who will find herein many interesting and original results. The originality of the book The Geometry of Homological Triangles consists in using the homology of triangles as a "filter" through which remarkable notions and theorems from the geometry of the triangle are unitarily passed. Our research is structured in seven chapters, the first four are dedicated to the homology of the triangles, while the last ones to their applications.
LINK ORIGINAL BOOK
 https://arxiv.org/abs/1204.1585
BAJAR LIBRO COMPLETO.
 Download:PDF only
https://arxiv.org/ftp/arxiv/papers/1204/1204.1585.pdf

Variance of Topics of Plane Geometry -Florentin Smarandache



This book contains 21 papers of plane geometry. It deals with various topics, such as: quasi-isogonal cevians, nedians, polar of a point with respect to a circle, anti-bisector, aalsonti-symmedian, anti-height and their isogona