Kenkichi Iwasawa

FROM

http://www-history.mcs.st-andrews.ac.uk/

Article by: J J O’Connor and E F Robertson

Kenkichi Iwasawa attended elementary school in the town of his birth but went to Tokyo for his high school studies which were at the Musashi High School. In 1937 he entered Tokyo University where he was taught by Shokichi Shokichi Iyanaga and Zyoiti Suetuna. At this time Tokyo University had become a centre for the study of algebraic number theory as a result of Teiji Takagi’s remarkable contributions. Takagi had retired in 1936, the year before Iwasawa began his studies, but his students Iyanaga and Suetuna were bringing to the university many ideas which they had developed during studies with the leading experts in Europe.

On Some Properties of $\Gamma$-Finite Modules

In this post we’ll discuss on the article

” Kenkichi Iwasawa, On Some Properties of -Finite Modules ”

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http://uploadwordpress.googlepages.com/iwasawa3.pdf

Minh and Thinh, Can you?

Solution of problem T10/363 in M&Y

Solution of a my student.

Solution of Problem 2, Grade 9, RNO 2007

Let be an acute angled triangle and point chosen differently from . Prove that is the orthocenter of triangle if and only if

Solution of my students.

Solution of problem 11306 in AMM

Let and be the lengths of the sides of a nondegenerate triangle, let , and let and be the inradius and circumradius of the triangle, respectively. Show that

and determine the cases of equality.

My solution.

Solution of problem T6/363 in M&Y

Find all such that .

My solution.

Manifold Destiny

From  http://www.newyorker.com/

On the evening of June 20th, several hundred physicists, including a Nobel laureate, assembled in an auditorium at the Friendship Hotel in Beijing for a lecture by the Chinese mathematician Shing-Tung Yau. In the late nineteen-seventies, when Yau was in his twenties, he had made a series of breakthroughs that helped launch the string-theory revolution in physics and earned him, in addition to a Fields Medal—the most coveted award in mathematics—a reputation in both disciplines as a thinker of unrivalled technical power.

Who is Andrew Wiles?

I first met Andrew Wiles when I began researching for a BBC documentary about his proof of Fermat’s Last Theorem. Although he was clearly a man with a brilliant mind, an immense determination and an obsession that had haunted him since childhood, he came across as a modest, diffident man. It was obvious that he hated publicity, so it was not a complete surprise that initially he was reluctant to have his story filmed for TV.Eventually, my colleague, John Lynch, persuaded him that it was his duty to be filmed. By telling his story on screen, Wiles could inspire a new generation of mathematicians and reveal the power of mathematics to the public. Here was a story of passion and intrigue that would enchant people around the world.

Terence Tao, Fields Medal Winner

From here http://www.ucla.edu/about/faculty/tao.html

Terence Tao is UCLA’s first mathematician to receive the prestigious Fields Medal, often described as the “Nobel Prize in Mathematics.”

Problems in Mathematics and Youth Magazine, 2007 , Issue 9

For Lower Secondary Schools

1. The first positive integer numbers are written consecutively in a certain order. Call the resulting number . Is a multiple of ?