Alexey Stakhov

Biography

Alexey Stakhov is Ukrainian-Canadian mathematician who lives in Canada since 2004. He is the author of two fundamental scientific ideas, which are based on Fibonacci numbers and golden section. The first idea concerns positional numeral systems, which historically underlie number theory and computer science. His Doctoral thesis in Computer Science (Kiev Institute of Civil Aviation Engineers, 1972) led him to fundamentally new numeral systems, called Fibonacci p-codes and codes of golden p-proportions, and new conception of computers, Fibonacci computers. These ideas drew attention of scientific and engineering community both in Soviet Union and abroad. Stakhov’s priority in this field was protected by 65 patents of USA, Japan, Canada and other countries. Stakhov’s next idea, the Mathematics of Harmony, concerns the foundations of mathematics and non-Euclidean geometry. This idea is presented in Stakhov's speech “The Golden Section and Modern Harmony Mathematics” (the 7th Conference “Fibonacci Numbers and Their Applications”, Graz, Austria, July 1996). The results of Stakhov’s 40-year researches in this area are stated in two "World Scientific" books: “The Mathematics of Harmony" (2009) and “The “Golden” Non-Euclidean Geometry” (2016, co-author Samuil Aranson).

Research Interest

History and philosophy of mathematics “Proclus hypothesis” and new view on Euclid’s “Elements” and history of mathematics Fibonacci numbers, Golden Ratio and their applications in applied mathematics, computer science and digital metrology Algorithmic measurement theory as alternative to the classic mathematical measurement theory Numeral systems with irrational bases including Bergman’s system and ternary mirror-symmetrical arithmetic