ELEMENTS OF HISTORY OF MATHEMATICS - FRENCH - BOURBAKI,Ndoi:10.1086/351230SCRIBA, CJISIS
总结 书名:Elements of Mathematics —— A Problem-Centered Approach to History and Foundations 作者:Gabor Toth, 2021首版 概括+看点:本书介绍了包括数系构造、极限、多项式/代数表达式、函数级数展开、圆…
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mathematics becomes advanced with the intervention of infinity. Infinity has been observed throughout mathematical history, but the recent development of “reverse mathematics” confirms that infinity is essential for proving well-known theorems, and helps to determine the nature, contours, and borders ...
Greek mathematics, the study of numbers and their properties, patterns, structure, space, apparent change, and measurement, is said to have originated with Thales of Miletus (l. c. 585 BCE) but was clearly understood during the periods of the Minoan civilization (2000-1450 BCE) and the Mycen...
Chapter3Euclid’sElementsEuclid’sElementsisoneofthemostinfluentialworksinthehistoryofmathematics.Ithasbeenusedasatextbook,andhasinspiredmostothertextbooksongeometry,fromthetimeofitspublicationuntilthe20thcentury.LetusmakeclearatoncethatmostoftheresultsintheElementsareduetoear-liermathematicians:veryfew—ifany—...
First Paragraph | PDF (1) Elements of Algebra (2) John Napier and the Invention of Logarithms, 1614 (3) An Elementary Treatise on the Calculus for Engineering Students (4) Constructive Text-book of Practical Mathematics (5) Arithmetische Selbstständigkeit der europäischen Kultur- p417...
We investigate the history of trials in proving the fifth axiom in `Elements' in order to develop a teaching material for high school mathematics. Arguments in `Elements' themselves are very clear, but the fifth axiom is apparently too complex as compared to the other four axioms. Here, we ...
To our best knowledge, the first multi-mesh method was presented at the beginning of the 21st Century. Similar techniques were announced by different mathematics researchers afterwards. But, due to some common restrictions, this method is not widely used in the field of numerical simulations. On ...
nonlinearity—opensystems—coherence.Synergeticapproachisbasedonthenaturalhomeostatic-conser-vationoftheinternalqualitiesofthedynamicsystemsofvariousnatures.Namely,RussianscientistA.A.Kolesnikovdevelopedanovelsynergeticapproachbasedontheideasofmodernmathematics,cybernetics,andsynergeticstothesynthesisofcontrolsystemsfornonlinear...