Titlebook: Derivatives and Integrals of Multivariable Functions; Alberto Guzman Textbook 2003 Birkh?user Boston 2003 Derivative.Implicit function.Mea

Headstrong

Differentiability of Multivariable Functions,In this chapter we use ideas based on the elementary definition of derivative to define derivatives of a vector function of a Euclidean vector variable. We relate these new derivatives to the elementary ones, and generalize an important result from the real-variable case.

極力證明

Derivatives of Vector Functions,In this chapter we study derivative-related results that are not reducible to the scalar case.

羊欄

Alberto GuzmanIncludes supplementary material:

Disk199

BILIO

Derivatives of Scalar Functions,uces to the study of derivatives of real-valued functions. In this chapter we study some derivative properties for which reduction to the scalar case has an interesting variety of advantages: from being helpful (directional derivatives) to sensible (the mean value theorem) to necessary (maxima/minima).

向外

Integrability of Multivariable Functions, material as we did with derivatives. In the earlier chapters, we separated the definitions of differentiability and derivatives from discussion of their properties. We will do similarly with integrals, covering integrability in this chapter and properties of integrals in the next.

institute

Vector Integrals and the Vector-Field Theorems,lculate an integral. This study will show us many connections among the topics that we have viewed separately. We end up with small versions of two results that helped complete the analytic description of classical physics.

Slit-Lamp

https://doi.org/10.1007/978-3-319-98515-2uces to the study of derivatives of real-valued functions. In this chapter we study some derivative properties for which reduction to the scalar case has an interesting variety of advantages: from being helpful (directional derivatives) to sensible (the mean value theorem) to necessary (maxima/minima).

GLOOM

Symptom Manifestation Within Relationships material as we did with derivatives. In the earlier chapters, we separated the definitions of differentiability and derivatives from discussion of their properties. We will do similarly with integrals, covering integrability in this chapter and properties of integrals in the next.

使糾纏

The Market Economy in China’s Reformlculate an integral. This study will show us many connections among the topics that we have viewed separately. We end up with small versions of two results that helped complete the analytic description of classical physics.