The outstanding Fibonacci mathematicians of the 20th century In the 20th century the interest in Fibonacci numbers in modern mathematics again increases. In the first half of the 20th century the considerable results in this area were obtained by the Dutch mathematician Willem Abraham Wythoff and the Belgian mathematician Edouard Zeckendorf.
Dr. Wythoff's own words: "The game is played by two persons. Two piles of counters are placed on the table, the number of each pile being arbitrary. The players play alternately and either take from one of the piles an arbitrary number of counters or from both piles an equal number. The player who takes up the last counter or counters, wins." The solutions of the Wythoff game, involving the Fibonacci numbers, can be found in numerous articles in
In 1940, Dr. Zeckendorf was taken prisoner by the Germans, and in that capacity, he provided medical care to allied POW's until 1945. During 1949-50, he was in charge of a 500-mile long Zeckendorf sums originate with an article published in 1939. Each positive integer has a unique representation as a sum of two nonconsecutive Fibonacci numbers. In many ways, these representations can be compared with binary representations. Numerous articles published in The small brochure of the Russian mathematician Vorobyev "Fibonacci Numbers" published in 1961 rendered a huge influence on increase of mathematical interest in Fibonacci numbers. The brochure issued repeatedly and was translated to many World languages. However the establishment of the mathematical Fibonacci Association by the group of the American mathematicians in 1963 became by the most outstanding event in the history of the Fibonacci numbers theory. Since 1963 Fibonacci Association began to issue "The Fibonacci Quarterly". The American mathematicians Verner Emil Hoggatt (1921-1981) and Alfred Brousseau (1907-1988) are founders of the Fibonacci Association. Verner Hoggatt, along with Brother Alfred Brousseau, published the first volume of The April 4, 1969 issue of Alfred Brousseau (1907-1988) was other outstanding person involved to establishment of the Fibonacci Association. The order, to which Brother Alfred belonged, is While teaching at St. Mary's, Brother Alfred also continued his own studies, in physics, and in 1937 he received the Ph.D. degree from the University of California. In 1941, he was appointed Principal of Sacred Heart High School, and in 1959 in returned to St. Mary's College. He served as Chair of the School of Science there for many years, and was active in the classroom and activities of the California Mathematics Council until 1978. Brother Alfred was an avid photographer. He made a collection of some 20,000 slides of California wildflowers. Images of more than half of these, and another of Brother Alfred's collections as well, are preserved in the form of widely used websites at the University of California, Berkeley. In 1969 the After 20 years after the book of the Verner Hoggat the Publisher "Ellis Horwood Limited" published in 1989 the book by Prof. S. Vaida Among the modern Fibonacci mathematicians it is necessary to select Professor Herta Taussing Freitag, the member of the Fibonacci Association. She was born 6 Dec 1908 in Vienna, Austria and died 25 Jan 2000 in Roanoke, Virginia, USA.
Her lectures, always meticulously crafted and beautifully illustrated in her inimitably artistic calligraphy, are delivered so enthusiastically and yet so modestly, as if she fears that her personality might take any of the glory or attention away from Mathematics. One of her most inspired remarks concerns mathematicians' fondness for generalizing results: A mathematician is like a lover - give him a little finger and he wants the whole hand! A colleague, with echoes of Gauss's description of Mathematics as the Queen of the Sciences, and Number Theory as the Queen of Mathematics, named Herta Freitag as the Queen of the Fibonacci Association. For she has attended and given a paper at every International Conference of the Association since the first one in 1984. She has also contributed prodigiously to the It is curiously to note that Prof. Gerta Freitag delivered at the 7th International Conference on Fibonacci Numbers and Their Applications the lecture "Elements of Zeckendorf Arithmetic" (co-author G.M. Phillips). The fact of the appearance of the lecture with such title is rather distinctive. He testifies that the Fibonacci mathematicians closely came to the creation of the new computer arithmetic, based on Fibonacci numbers and Zeckendorf's sums. As was shown at the previous pages of our Museum, just this direction became by the subject of the scientific and engineering developments in the 70th and 80th years of the 20th century in the Soviet science. |