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Infinitesimal: Hyperreal number, Smooth infinitesimal analysis, New Latin, Infinity, Augustin-Louis Cauchy, Real number, Non-standard calculus, ... Surreal number, Differential (mathematics) - Softcover

 
9786130629601: Infinitesimal: Hyperreal number, Smooth infinitesimal analysis, New Latin, Infinity, Augustin-Louis Cauchy, Real number, Non-standard calculus, ... Surreal number, Differential (mathematics)
Softcover
ISBN 10: 6130629605 ISBN 13: 9786130629601
Verlag: Alphascript Publishing, 2010

Inhaltsangabe

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Infinitesimals have been used to express the idea of objects so small that there is no way to see them or to measure them. The word infinitesimal comes from a 17th century Modern Latin coinage infinitesimus, which originally referred to the "infinite-th" item in a series. In common speech, an infinitesimal object is an object which is smaller than any feasible measurement, hence not zero size, but so small that it cannot be distinguished from zero by any available means. Hence, when used as an adjective, "infinitesimal" in the vernacular means "extremely small". Before the nineteenth century none of the mathematical concepts relating to infinitesimals as we know them today were formally defined, but many of these concepts were already used. The founders of calculus — Euler, Leibniz, Newton, Cauchy, and many others — calculated with infinitesimals and achieved correct results even though no formal definition was available. For comparison one should note that there was no formal definition of real numbers at the time, either.

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Reseña del editor

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Infinitesimals have been used to express the idea of objects so small that there is no way to see them or to measure them. The word infinitesimal comes from a 17th century Modern Latin coinage infinitesimus, which originally referred to the "infinite-th" item in a series. In common speech, an infinitesimal object is an object which is smaller than any feasible measurement, hence not zero size, but so small that it cannot be distinguished from zero by any available means. Hence, when used as an adjective, "infinitesimal" in the vernacular means "extremely small". Before the nineteenth century none of the mathematical concepts relating to infinitesimals as we know them today were formally defined, but many of these concepts were already used. The founders of calculus — Euler, Leibniz, Newton, Cauchy, and many others — calculated with infinitesimals and achieved correct results even though no formal definition was available. For comparison one should note that there was no formal definition of real numbers at the time, either.

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Verlag
Alphascript Publishing
Erscheinungsdatum
2010
Sprache
Englisch
ISBN 10 
6130629605
ISBN 13 
9786130629601
Einband
Tapa blanda
Anzahl der Seiten
100
Herausgeber
Miller Frederic P., Vandome Agnes F., McBrewster John
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
Nicht verfügbar