Alexey Petrovich Stakhov (Russian: Алексей Петрович Стахов Ukrainian: Олексій Петрович Стахов; May 7, 1939 – January 25, 2021) is a Ukrainian mathematician, inventor and engineer, who has made contributions to the theory of Fibonacci numbers and the "Golden Section" and their applications in computer science and measurement theory and technology. Doctor of computer science (1972), professor (1974). Author of over 500 publications, 14 books and 65 international patents.[1]

Alexey Petrovich Stakhov
Алексей Петрович Стахов
Born(1939-05-07)May 7, 1939
Partizany, Ukraine
DiedJanuary 25, 2021 (2021-01-26) (aged 81)
Bradford, Ontario
NationalityUSSR → Ukrainian → Canadian
Alma materKyiv Polytechnic Institute 1956 – 1959 & Kharkiv Aviation Institute 1959–1961
Known forInnovations and studies in computer engineering (“Fibonacci computers”) and mathematics (Mathematics of Harmony)
SpouseAntonina Stakhova
Children2
Scientific career
FieldsComputer science, mathematics
Institutions
Doctoral advisorVolkov Alexander Andreevich

Biography

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Born May 7, 1939, in Partizany, Kherson region, Ukraine, USSR. In 1956 graduated with honours from Rivne village high school. Same year became a student of the Mining Faculty of the Kyiv Polytechnic Institute (now the National Technical University of Ukraine “Kyiv Polytechnic Institute”). In 1959, transferred to the Radio Engineering Faculty of Kharkiv Aviation Institute (now the National Aerospace University of Ukraine). After graduation, worked for two years as an engineer in the Kharkiv Electrical Instrument Design Bureau (now the space technology company “Khartron”). "Khartron" was one of the top secret space companies of the Soviet Union. It was engaged in the research, development and manufacture of automatic control systems for missiles and space craft on board systems. Through working there Stakhov obtained thorough practical engineering experience and published his first scientific papers. Later he worked at the universities of Russia and Ukraine (Kharkiv Institute of Radio Electronics, Taganrog Radio Engineering Institute, Vinnytsia Technical University, Vinnytsia Agricultural University, Vinnytsia Pedagogic University). He was a visiting professor at many universities abroad (Austria, Germany, Libya, Mozambique). Since 2004, he lived and worked in Canada.

Teaching, research, and work

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Brief description of research and scientific achievements

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Prof. Stakhov's international patents
 
US Patent for the Fibonacci p-code minimal form
  • Created a new direction in the measurement theory, the algorithmic measurement theory described in his book – A.P. Stakhov. "Introduction into Algorithmic Measurement Theory" (Moscow: Soviet Radio, 1977).
  • Created the theory of the redundant number systems based on the generalised Fibonacci numbers (Fibonacci p-codes) and the generalised golden proportions (codes of the golden p-proportion) The principals of the Fibonacci p-codes and the new computer arithmetic based on them are described in his book – A.P. Stakhov. "Introduction into Algorithmic Measurement Theory" (Moscow: Soviet Radio, 1977). The fundamentals of the theory of the codes of the golden p-proportion are stated in the book – AP Stakhov. The Codes of the Golden Proportion (Moscow, Radio and Communication, 1984).
  • Put forward the concept of "Fibonacci computers". The international priority of this invention was protected by the Soviet Union in an unprecedented patenting operation by Soviet standards, resulting in 65 international patents, covering the territories of the United States, Japan, United Kingdom, France, Germany, Canada and other countries.
  • Elaborated and evolved the concept "Mathematics of Harmony",[2] which goes back in its foundations to Euclid'sElements” (III c. BC), "Divina Proportione" (Divine proportion) by Luca Pacioli (1509), Harmonice Mundi (Harmony of the World) by Johannes Kepler (1619). For the first time the concept of "Mathematics of Harmony" in relation to the achievements of modern science was presented by Prof. Stakhov in a speech "The Golden Section and Modern Harmony Mathematics," made at the seventh International Conference "Fibonacci Numbers and Their Applications" (Austria, Graz, 1996). The book "The Mathematics of Harmony. From Euclid to Contemporary Mathematics and Computer Science" – 748 pages (World Scientific, 2009) is Stakhov's main scientific achievement in this field.[3]
  • Published over 500 scientific works, among them 14 books, 65 international patents, 130 USSR invention certificates. During his work in Canada (2004–2012) published over 30 articles in international journals (Chaos, Solitons & Fractals, Applied Mathematics, Arc Combinatoria, Visual Mathematics, etc.).
  • Alexey Stakhov prepared 30 PhD students, five of Stakhov's PhD students, became Doctors of Sciences.

Work in international universities

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The work as "visiting professor":

Prizes and awards

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Select scientific publications

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  1. Stakhov AP. Introduction into algorithmic measurement theory. Moscow, "Soviet Radio", 1977, 288 p., Circulation 8500 copies.(Russian)
  2. Stakhov AP Algorithmic measurement theory. (New in Life, Science and Technology. Series "Mathematics, Cybernetics"). Moscow: "Knowledge", 1979, 64 p. Circulation 38,470 copies. (Ukraininan Ministry of Higher Education awarded the prize for the best scientific publication in 1980) (Russian)
  3. Stakhov AP. Codes of the Golden Proportion. Moscow: Radio and Communications, 1984, 152 p., Circulation 10 000 copies. (Russian)
  4. Stakhov AP. Algorithmic measurement theory and foundations of computer arithmetic. Journal "Measurement. Control. Automation ", 1981 (Russian)
  5. Stakhov AP. The Golden Section in the Measurement Theory. Computers & Mathematics with Applications, 1989, Vol. 17, No 4–6, 613–638.
  6. Stakhov A.P. The Golden Section and Modern Harmony Mathematics. Applications of Fibonacci Numbers. Kluwer Academic Publishers, 1998
  7. Stakhov A.P. Brousentsov's ternary principle, Bergman's number system and ternary mirror-symmetrical arithmetic. “The Computer Journal” (British Computer Society), 2002.
  8. Series of articles (30 articles) on various aspects of the "Mathematics of Harmony." Published at the international journals "Chaos, Solitons & Fractals," «Congressus Numerantium," "Visual Mathematics," "Design & Mathematics," "Applied Mathematics" during 2004–2012.
  9. Stakhov AP The Generalized Golden Sections and a New Approach to the Geometric Definition of a Number. Ukrainian Mathematical Journal, 2004 (Russian).
  10. Stakhov, AP, Sluchenkova, AA, Shcherbakov, IG. Da Vinci Code and the Fibonacci series. St. Petersburg: Piter, 2006, 320 pp., circulation 8000 copies.
  11. Stakhov. AP. The Golden Ratio, Sacred Geometry and the Mathematics of Harmony. The book "Metaphysics. Century XXI ». Moscow, BINOM, 2006, p. 174–215.
  12. Stakhov – AP Three "Key" Problems of Mathematics at the Stage of Its Origin and the Mathematics of Harmony as an Alternative Direction in the Development of Mathematics. The book “Totallogy-XXI,” National Academy of Sciences of Ukraine, 2007, p. 274–323.
  13. Stakhov A.P. "The Mathematics of Harmony. From Euclid to Contemporary Mathematics and Computer Science". International Publisher «World Scientific» (New Jersey, London, Singapore, Beijing, Shanghai, Hong Kong, Taipei, Chennai), 2009, p. 748
  14. A. Stakhov, S. Aranson. Hyperbolic Fibonacci and Lucas Functions, “Golden” Fibonacci Goniometry, Bodnar's Geometry, and Hilbert's Fourth Problem.. Applied Mathematics, 2011, 1 (January), 2 (February), 3 (March)
  15. Stakhov AP. The Mathematics of Harmony: from Euclid to Contemporary Mathematics and Computer Science. Electronic Journal "NAUKOVEDENIE ", Vol 4, 2012, p. 105 (Russian)
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  1. ^ "Google Patents: Stakhov".
  2. ^ Alexey Stakhov. "Математика Гармонии" [Mathematics of Harmony] (in Russian).
  3. ^ MATHEMATICS OF HARMONY: FROM EUCLID TO CONTEMPORARY MATHEMATICS AND COMPUTER SCIENCE (Series in Knots and Everything, 22). World Scientific Publishing Company. 2009. ISBN 978-9812775825.
  4. ^ "Famous Scientists of Russia – Alexey Stakhov (Russia)". www.famous-scientists.ru.