From Vector Spaces to Function Spaces

This book PDF is perfect for those who love Mathematics genre, written by Yutaka Yamamoto and published by SIAM which was released on 01 January 2012 with total hardcover pages 282. You could read this book directly on your devices with pdf, epub and kindle format, check detail and related From Vector Spaces to Function Spaces books below.

From Vector Spaces to Function Spaces
From Vector Spaces to Function Spaces
Author : Yutaka Yamamoto
File Size : 47,8 Mb
Publisher : SIAM
Language : English
Release Date : 01 January 2012
ISBN : 1611972310
Pages : 282 pages
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From Vector Spaces to Function Spaces by Yutaka Yamamoto Book PDF Summary

This book provides a treatment of analytical methods of applied mathematics. It starts with a review of the basics of vector spaces and brings the reader to an advanced discussion of applied mathematics, including the latest applications to systems and control theory. The text is designed to be accessible to those not familiar with the material and useful to working scientists, engineers, and mathematics students. The author provides the motivations of definitions and the ideas underlying proofs but does not sacrifice mathematical rigor. From Vector Spaces to Function Spaces presents: an easily accessible discussion of analytical methods of applied mathematics from vector spaces to distributions, Fourier analysis, and Hardy spaces with applications to system theory; an introduction to modern functional analytic methods to better familiarize readers with basic methods and mathematical thinking; and an understandable yet penetrating treatment of such modern methods and topics as function spaces and distributions, Fourier and Laplace analyses, and Hardy spaces.

From Vector Spaces to Function Spaces

From Vector Spaces to Function Spaces by Yutaka Yamamoto

This book provides a treatment of analytical methods of applied mathematics. It starts with a review of the basics of vector spaces and brings the reader to an advanced discussion of applied mathematics, including the latest applications to systems and control theory. The text is designed to be accessible to

Get Book
From Vector Spaces to Function Spaces

From Vector Spaces to Function Spaces by Yutaka Yamamoto

A guide to analytic methods in applied mathematics from the perspective of functional analysis, suitable for scientists, engineers and students.

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A Course on Topological Vector Spaces

A Course on Topological Vector Spaces by Jürgen Voigt

This book provides an introduction to the theory of topological vector spaces, with a focus on locally convex spaces. It discusses topologies in dual pairs, culminating in the Mackey-Arens theorem, and also examines the properties of the weak topology on Banach spaces, for instance Banach’s theorem on weak*-closed

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Calculus on Normed Vector Spaces

Calculus on Normed Vector Spaces by Rodney Coleman

This book serves as an introduction to calculus on normed vector spaces at a higher undergraduate or beginning graduate level. The prerequisites include basic calculus and linear algebra, as well as a certain mathematical maturity. All the important topology and functional analysis topics are introduced where necessary. In its attempt

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Analysis in Vector Spaces

Analysis in Vector Spaces by Mustafa A. Akcoglu,Paul F. A. Bartha,Dzung Minh Ha

A rigorous introduction to calculus in vector spaces The concepts and theorems of advanced calculus combined withrelated computational methods are essential to understanding nearlyall areas of quantitative science. Analysis in Vector Spacespresents the central results of this classic subject throughrigorous arguments, discussions, and examples. The book aims tocultivate not only

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Banach Spaces of Vector Valued Functions

Banach Spaces of Vector Valued Functions by Pilar Cembranos,Jose Mendoza

"When do the Lebesgue-Bochner function spaces contain a copy or a complemented copy of any of the classical sequence spaces?" This problem and the analogous one for vector- valued continuous function spaces have attracted quite a lot of research activity in the last twenty-five years. The aim of this monograph

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Topological Vector Spaces Distributions and Kernels

Topological Vector Spaces Distributions and Kernels by François Treves

Topological Vector Spaces, Distributions and Kernels discusses partial differential equations involving spaces of functions and space distributions. The book reviews the definitions of a vector space, of a topological space, and of the completion of a topological vector space. The text gives examples of Frechet spaces, Normable spaces, Banach spaces,

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Modern Methods in Topological Vector Spaces

Modern Methods in Topological Vector Spaces by Albert Wilansky

"Designed for a one-year course in topological vector spaces, this text is geared toward beginning graduate students of mathematics. Topics include Banach space, open mapping and closed graph theorems, local convexity, duality, equicontinuity, operators,inductive limits, and compactness and barrelled spaces. Extensive tables cover theorems and counterexamples. Rich problem sections

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