Titlebook: Calculus on Normed Vector Spaces; Rodney Coleman Textbook 2012 Springer Science+Business Media New York 2012 Hilbert spaces.convexity.diff

Anthology

Differentiation,In this chapter we will be primarily concerned with extending the derivative defined for real-valued functions defined on an interval of .. We will also consider minima and maxima of real-valued functions defined on a normed vector space.

V洗浴

过剩

伙伴

Hilbert Spaces,In this chapter we study Hilbert spaces, which can be considered as a certain subclass of the class of normed vector spaces. We will define some particular mappings and study their differentiability.

Definitive

The Inverse and Implicit Mapping Theorems,In this chapter we will prove the inverse and implicit mapping theorems, which have far-reaching applications. We will begin with the inverse mapping theorem and then derive the implicit mapping theorem from it.

Mutter

饰带

The Flow of a Vector Field,In the last chapter we defined and studied some elementary properties of the flow of a vector field. In this chapter we will explore the flow in more detail. In general, normed vector spaces will be Banach spaces.

欲望

https://doi.org/10.1007/978-1-4614-3894-6Hilbert spaces; convexity; differentiability; normed algebras; normed vector spaces; optimization

季雨

平躺

Calculus on Normed Vector Spaces978-1-4614-3894-6Series ISSN 0172-5939 Series E-ISSN 2191-6675