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American Mathematical Society - A First Course in Sobolev Spaces

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Description

A First Course in Sobolev Spaces by the American Mathematical Society provides a comprehensive study of the differentiation of functions. This text is structured into two distinct parts, making it versatile enough to serve as an advanced undergraduate textbook for functions of one variable or as a dedicated graduate-level resource for Sobolev functions. The first section develops essential theories regarding monotone, absolutely continuous, and bounded variation functions of one variable. It explores their connection to Lebesgue-Stieltjes measures and Sobolev functions, while also covering decreasing rearrangement and curves. The second edition has been updated to include a chapter on functions mapping time into Banach spaces, providing expanded depth for mathematical analysis students and researchers.

Key Features

This American Mathematical Society book covers the fundamental theory of differentiation of functions.

The text is divided into two parts that can function as separate textbooks for undergraduate or graduate levels.

Part one focuses on monotone, absolutely continuous, and bounded variation functions of one variable.

The content explores the relationship between Lebesgue-Stieltjes measures and Sobolev functions.

The second edition includes an additional chapter on functions mapping time into Banach spaces.

Product Specifications

Format
paperback
Domain
Amazon UK
Release Date
31 January 2017
Listed Since
09 February 2024

Barcode

No barcode data available

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