The Story of the GENIUS who INVENTED the LIMIT (Epsilon and Delta)

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Math Rocks

Published on Aug 4, 2023
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???? Augustin Louis CAUCHY: One of the most prolific mathematicians of all time, with nearly 800 publications. Pioneer in ANALYSIS, inventor of the LIMIT and lord of Mathematical RIGOR ???? 0:00 Introduction, Who was Augustin CAUCHY? 1:15 Biography of Augustin CAUCHY 6:37 CAUCHY's contributions to CALCULUS and ANALYSIS 9:41 CAUCHY's contributions to Number Theory 11:54 Did CAUCHY steal ideas from his students? 14:36 ​​Curiosities of Augustin CAUCHY ???? Complete Calculus COURSE HARVARD Level • Harvard Level Calculus 01.- Functions ... More videos that will HELP you ???????? https://www.youtube.com/c/MathRocks?s... ???? JOIN the CHANNEL discover 720 videos and 19 EXCLUSIVE complete COURSES / @mathrocks Pioneer in analysis where we owe him the introduction of holomorphic functions, the criteria of convergence of series and power series. His work on permutations were precursors of group theory, contributing in a fundamental way to its development. In optics, he is credited with work on the propagation of electromagnetic waves. In 1814 he published his work on infinitesimal analysis. Cauchy specifies the concepts of function, limit and continuity in the current or almost current form, taking the concept of limit as the starting point of the analysis and eliminating from the idea of ​​​​function any reference to a formal expression, algebraic or not, to found it on the notion of correspondence. Arithmetic concepts now give rigor to the foundations of analysis, until then supported by a geometric intuition that will be eliminated, especially when it later suffers a rude blow when it is shown that there are continuous functions without derivatives, that is: curves without tangent. ► COMPLETE MATH COURSES / mathrocks #cauchy #limit #history ???? FOLLOW ME on IG ►► themathrocks

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