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Nová infinitní matematika: IV. Staronový diferenciální počet

Nová infinitní matematika: IV. Staronový diferenciální počet

[New infinite mathematics: 4. Old new differential number]

Vopěnka, Petr

subjects: mathematics and statistics

e-book, 1. edition
published: august 2016
ISBN: 978-80-246-3220-9
e-book formats PDF
recommended price: 110 czk

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summary

Newton and Leibniz’s discovery of infinitesimal calculus is still considered one of the greatest achievements of the human mind. And this is justified, as it afforded mathematics a method of unprecedented efficiency which helped acquire information well beyond the horizon of the common geometrical view of the time, and provided modern European natural science with an indispensable tool, facilitating many of its triumphant achievements.
Classical infinite set mathematics rejected infinitely small quantities, trying to oust them from mathematics altogether. The hard-won results of this experiment obscured the lucid nature of infinitely small quantities.
This book rehabilitates the differential number based on infinitely small quantities. And referring to the results of the previous volume, original infinitesimal calculus can be rehabilitated in its entirety.