ALBERT EINSTEIN

ALBERT EINSTEIN

"GRAÇAS A DEUS PELA VIDA,PELA MINHA FAMILIA,PELO TRABALHO,PELO PÃO DE CADA DIA,PROTEGENOS DO MAL"

Matematicas preuniversitarias,fisica preuniversitaria,algebra,geometria,trigonometria
mathematics,physics,geometry,Математика,College,Pre-College,vestibular universidades,olimpiadas de matematicas,Mathematical Olympiad,Algebra Problems,Geometry Problems,High School Geometry,Trigonometry Problems,Descriptive Geometry,Problems In Calculus Of One Variable,ECUACIONES DIFERENCIALES,problemas de fisica,Problems On Physics,Linear Algebra,Problems In Elementary Mathematics,Inequalities,Mathematics for high school students,EXAMENS DE ADMISION ALGEBRA.
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“GRAÇAS A DEUS PELA VIDA,PELA MINHA FAMÍLIA,PELO TRABALHO.PELO PÃO DE CADA DIA,POR NOS PROTEGER DO MAL”

BLOG DO ENG. ARMANDO CAVERO MIRANDA -BRASIL


segunda-feira, 7 de outubro de 2013

Teoria dos Números ( Binomiais e Primos ) - Nível 3 Professor - Luciano Guimarães Monteiro de Castro

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sábado, 5 de outubro de 2013

MATHEMATICS ALL THE WAY BY ENGINEERING L.K.SHARMA

WEBSITE ORIGINAL
http://mathematicsgyan.weebly.com/
Er. L.K.Sharma an engineering graduate from NIT, Jaipur (Rajasthan), {Gold medalist, University of Rajasthan} is a well known name among the engineering aspirants for the last 15 years. He has been honored with "BHAMASHAH AWARD" two times for the academic excellence in the state of Rajasthan. He is popular among the student community for possessing the excellent ability to communicate the mathematical concepts in analytical and graphical way.
He has worked with many IIT-JEE coaching institutes of Delhi and Kota, {presently associated with Guidance, Kalu Sarai, New Delhi as senior mathematics faculty}. He has been a senior mathematics {IIT-JEE} faculty at Delhi Public School, RK Puram for five years.
 
 
LINK DOWNLOAD
http://www.mediafire.com/?8j1db6ug0yzin4n

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sexta-feira, 4 de outubro de 2013

Developing nation India need Space program?

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quinta-feira, 3 de outubro de 2013

JEE Advanced 2013 Video Solution Paper-2, Code-3, Q-58

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Ashani Dasgupta's Math Blog

EXCELLENT BLOG MATHEMATICS
http://cheentasutra.wordpress.com/




Indian Math Olympiad

Crease of a square paper


A square sheet of paper ABCD is so folded that B falls on the mid-point of M of CD. Prove that the crease will divide BC in the ratio 5:3.
Discussion:
creaseAssuming the side of the square is ‘s’. Let a part of the crease be ‘x’ (hence the remaining part is ‘s-x’). We apply Pythagoras Theorem we solve for x:
x^2 + \frac {s^2 }{4} = (s-x)^2 implies x = \frac {3s}{8} and s-x = \frac {5s}{8}
Hence the ratio is 5:3.
Standard



Indian Math Olympiad

RMO 1990


  1. Two boxes contain between them 65 balls of several different sizes. Each ball is white, black, red or yellow. If you take any five balls of the same colour, at least two of them will always be of the same size (radius). Prove that there are at least three balls which lie in the same box have the same colour and have the same size (radius).
  2. For all positive real numbers a, b, c prove that \frac{a}{b+c} + \frac{b}{a+c}+ \frac{c}{a+b} \ge \frac{3}{2}
  3. A square sheet of paper ABCD is so folded that B falls on the mid-point of M of CD. Prove that the crease will divide BC in the ratio 5:3.

    Discussion

  4. Find the remainder when 2^{1990} is divided by 1990.
  5. P is any point inside a triangle ABC. The perimeter of the triangle AB +BC +CA=2s. Prove that s < AP + BP + CP < 2s.
  6. N is a 50 digit number (in a decimal scale). All digits except the 26^{th} digit (from the left) are 1.If N is divisible by 13, find the 26^{th} digit.
  7. A census-man on duty visited a house in which the lady inmates declined to reveal their individual ages, but said “We do not mind giving you the sum of the ages of any two ladies you may choose”. There upon the census man said, “In that case, please give me the sum of the ages of every possible pair of you”. They gave the sums as follows: 30, 33, 41, 58, 66, 69. The census-man took these figures and happily went away. How did he calculate the individual ages of the ladies from these figures?
  8. If the circumcenter and centroid of a triangle coincide, prove that the triangle must be equilateral.
Standard
Indian Math Olympiad

INMO 2012


  1. Let ABCD be a quadrilateral inscribed in a circle. Suppose AB =\sqrt {2 + \sqrt {2} } and AB subtends 1350 at the center of the circle. Find the maximum possible area of ABCD.
  2. Let p_1<p_2< p_3< p_4 and q_1<q_2<q_3<q_4 be two sets of prime numbers such that p_4 - p_1 = 8   and q_4 - q_1 = 8 . Suppose p_1>5 and q_1>5 . Prove that 30 divides p_1 - q_1 .
  3. Define a sequence <fn(x)> n∈N of functions as f_0(x )=1, f_1(x )=x , (f_n(x))^2 - 1 = f_{n-1} (x) f_{n+1} (x) , for n \ge 1 . Prove that each f_n(x ) is a polynomial with integer coefficients.
  4. Let ABC be a triangle. An interior point P of ABC is said to be good if we can find exactly 27 rays emanating from P intersecting the sides of the triangle ABC such that the triangle is divided by these rays into 27 smaller triangles of equal area. Determine the number of good points for a given triangle ABC.
  5. Let ABC be an acute angled triangle. Let D, E, F be points on BC, CA, AB such that AD is the median, BE is the internal bisector and CF is the altitude. Suppose that angle FDE = angle C and angle DEF = angle A and angle EFD = angle B. Show that ABC is equilateral.
  6. Let f :Z \mapsto Z be a function satisfying f(0) \neq 0 , f(1)=0 and
    1. f(xy) + f(x)f(y) = f(x) + f(y) ,
    2. (f(x-y) - f(0) ) f(x) f(y) = 0 for all x , y \in Z simultaneously.
      1. Find the set of all possible values of the function f.
      2. If f(10) \neq 0 and f(2) = 0 , find the set of all integers n such that f(n) \neq 0 .
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quarta-feira, 2 de outubro de 2013

IMTOT1997-2002

LINK
http://keoserey.files.wordpress.com/2012/12/tot97-02.pdf
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Australian Mathematical Olympiads 1996-2011 Book 2


Not Full version, just enjoy it now :D
Download Australian Mathematical Olympiads 1996-2011 Book 2 

WEBSITE ORIGINAL
 http://keoserey.wordpress.com/ 
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terça-feira, 1 de outubro de 2013

Complex Numbers from A to. . . Z Titu Andreescu Dorin Andrica

About the Authors
Titu Andreescu received his BA, MS, and PhD from the West University
of Timisoara, Romania. The topic of his doctoral dissertation was “Research
on Diophantine Analysis and Applications.” Professor Andreescu currently
teaches at the University of Texas at Dallas.
 LINK
http://limtaosin.files.wordpress.com/2012/09/26-complexnumbersfromatoz.pdf
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