Article ID: CBB411701465

“Perfect Arithmetic” by Vaclav Josef Pelikan (2023)

unapi

The present article describes for the first time the book of Vaclav Josef Pelikan titled Arithmeticus Perfectus Qui tria numerare nescit. Seu Arithmetica dualis, In qua Numerando non proceditur, nisi ad duo, & tamen omnes quaestiones Arithmeticae negotio facili enodari possunt, published in Prague in 1712. The book is written in Latin on 86 pages and consists of a dedication, a message to the reader and four chapters. Operations in the binary system, including the extraction of square and cube roots, methods of converting numbers from the decimal system to the binary system and vice versa, etc., are given. In general, we may say that the book by Vaclav Josef Pelikan is the first fully fledged and methodologically sound textbook of arithmetic using the binary number system as well as containing original methods of solution. Резюме В статье впервые описывается книга Вацлава Йожефа Пеликана Аритхметицус Перфецтус Чуи триа нумераре несцит. Сеу Аритхметица дуалис, Ин чуа Нумерандо нон процедитур, ниси ад дуо, & тамен омнес чуаестионес Аритхметицае неготио фацили енодари поссунт, изданная в Праге в 1712 году. Книга написана на латыни, имеет объем 86 страниц и состоит из посвящения, обращения к читателю и четырех глав. Приведены примеры двоичных чисел, действия в двоичной системе, в том числе извлечение квадратных и кубических корней, способы перевода чисел из десятичной системы в двоичную и обратно и т. д. В целом можно сказать, что книга Вацлава Йожефа Пеликана – это первый полноценный, методологически грамотный учебник арифметики с использованием двоичной системы счисления, содержащий оригинальные решения.

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Authors & Contributors
Brueckler, Franka Miriam
Stilinović, Vladimir
Barrow-Green, June
Bečvářová, Martina
Bilova, S.
Bjarnadóttir, Kristín
Journals
British Society for the History of Mathematics Bulletin
Almagest
Historia Mathematica
Bollettino di Storia delle Scienze Matematiche
Journal Electronique d'Histoire des Probabilités et de la Statistique
Kritiki: Critical Science & Education
Publishers
Springer
Institut für Geschichte der Naturwissenschaften
Rutgers University Press
Springer International Publishing
Concepts
Mathematics education
Textbooks
Mathematics
Arithmetic
Algebra
Teaching; pedagogy
People
Euler, Leonhard
Boole, Mary Everest
Cuisenier, Jean
Lacaille, Nicolas Louis de
Pacioli, Luca
Rudolff, Christoff
Time Periods
18th century
19th century
20th century, early
Modern
17th century
Renaissance
Places
Prague (Czechia)
Greece
United States
Iran
France
Hungary
Institutions
University of Prague
Jesuits (Society of Jesus)
Univerzita Karlova
Science Museum, London
Habsburg, House of
Panepistēmio Athēnōn
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