2016 | OriginalPaper | Buchkapitel
The Derivative
verfasst von : Jerry Shurman
Erschienen in: Calculus and Analysis in Euclidean Space
Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.
Wählen Sie Textabschnitte aus um mit Künstlicher Intelligenz passenden Patente zu finden. powered by
Markieren Sie Textabschnitte, um KI-gestützt weitere passende Inhalte zu finden. powered by
This chapter introduces the multivariable derivative, defined as a linear mapping and characterized intrinsically by the property of closely approximating the original mapping near the point of approximation. The derivative properties are established using the Bachmann–Landau notat–on scheme, allowing a range of ideas from calculus to be handled uniformly. The chapter then computes the derivative in coordinates, and it studies the multivariable counterparts of higher-order derivatives from one-variable calculus. Finally it discusses optimization and directional derivatives.