Fundamental Theorem of Calculus - Couverture souple

Couverture souple

ISBN 10 : 6130629117 ISBN 13 : 9786130629113

Editeur : Alphascript Publishing, 2010

Synopsis

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. The fundamental theorem of calculus specifies the relationship between the two central operations of calculus: differentiation and integration. The first part of the theorem, sometimes called the first fundamental theorem of calculus, shows that an indefinite integration can be reversed by a differentiation. The first part is also important because it guarantees the existence of antiderivatives for continuous functions. The second part, sometimes called the second fundamental theorem of calculus, allows one to compute the definite integral of a function by using any one of its infinitely many antiderivatives. This part of the theorem has invaluable practical applications, because it markedly simplifies the computation of definite integrals. The first published statement and proof of a restricted version of the fundamental theorem was by James Gregory (1638–1675). Isaac Barrow (1630–1677) proved the first completely general version of the theorem, while Barrow's student Isaac Newton (1643–1727) completed the development of the surrounding mathematical theory. Gottfried Leibniz (1646–1716) systematized the knowledge into a calculus for infinitesimal quantities.

Détails de l'édition

• Éditeur: Alphascript Publishing
• Date d'édition: 2010
• Langue: anglais
• ISBN 10: 6130629117
• ISBN 13: 9786130629113
• Reliure: Broché
• Nombre de pages: 124
• Éditeur: Miller Frederic P., Vandome Agnes F., McBrewster John
• Coordonnées du fabricant: non disponible
• Personne responsable: non disponible