Functional Analysis: Fundamentals and Applications by Michel Willem

By Michel Willem

The aim of this paintings is to give the rules of practical research in a transparent and concise means. the 1st 3 chapters of useful research: basics and functions describe the final notions of distance, essential and norm, in addition to their kin. the 3 chapters that stick to take care of primary examples: Lebesgue areas, twin areas and Sobolev areas. next chapters advance purposes to capability idea and elliptic difficulties. particularly, the isoperimetric inequality and the Pólya-Szegő and Faber-Krahn inequalities are proved by means of in simple terms practical equipment. The epilogue encompasses a comic strip of the heritage of sensible  research, in relation with integration and differentiation. ranging from easy research and introducing proper contemporary study, this paintings is a superb source for college kids in arithmetic and utilized mathematics.

Show description

Read Online or Download Functional Analysis: Fundamentals and Applications (Cornerstones) PDF

Similar functional analysis books

Positive Definite Matrices (Princeton Series in Applied Mathematics)

This booklet represents the 1st synthesis of the enormous physique of latest learn into confident sure matrices. those matrices play an identical function in noncommutative research as optimistic actual numbers do in classical research. they've got theoretical and computational makes use of throughout a vast spectrum of disciplines, together with calculus, electric engineering, statistics, physics, numerical research, quantum info idea, and geometry.

Modern Fourier Analysis: Preliminary Entry 250 (Graduate Texts in Mathematics)

The first target of this article is to provide the theoretical beginning of the sphere of Fourier research. This e-book is principally addressed to graduate scholars in arithmetic and is designed to serve for a three-course series at the topic. the single prerequisite for realizing the textual content is passable finishing touch of a path in degree idea, Lebesgue integration, and intricate variables.

C*-algebras and Elliptic Theory II: No. 2 (Trends in Mathematics)

This booklet contains a set of unique, refereed study and expository articles on elliptic features of geometric research on manifolds, together with singular, foliated and non-commutative areas. the themes lined contain the index of operators, torsion invariants, K-theory of operator algebras and L2-invariants.

Sinusoids: Theory and Technological Applications (Chapman & Hall/CRC Monographs and Research Notes in Mathematics)

An entire remedy of present learn themes in Fourier Transforms and Sinusoids Sinusoids: conception and Technological purposes explains how sinusoids and Fourier transforms are utilized in various program components, together with sign processing, GPS, optics, x-ray crystallography, radioastronomy, poetry and song as sound waves, and the clinical sciences.

Additional info for Functional Analysis: Fundamentals and Applications (Cornerstones)

Example text

Download PDF sample

Rated 4.18 of 5 – based on 11 votes