Electronic Resource

Functional analysis: fundamentals and applications

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The goal of this work is to present the principles of functional analysis in a clear and concise way. The first three chapters of Functional Analysis: Fundamentals and Applications describe the general notions of distance, integral and norm, as well as their relations. The three chapters that follow deal with fundamental examples: Lebesgue spaces, dual spaces and Sobolev spaces. Two subsequent chapters develop applications to capacity theory and elliptic problems. In particular, the isoperimetric inequality and the Pólya-Szegő and Faber-Krahn inequalities are proved by purely functional methods. The epilogue contains a sketch of the history of functional analysis, in relation with integration and differentiation. Starting from elementary analysis and introducing relevant recent research, this work is an excellent resource for students in mathematics and applied mathematics.

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Ketersediaan

Informasi Detail

Judul Seri

Cornerstones

No. Panggil

E579

Penerbit

New York : Birkhäuser New York., 2013

Deskripsi Fisik

xiii, 213hlm.

Bahasa

English

ISBN/ISSN

9781461470045

Klasifikasi

NONE

Tipe Isi

-

Tipe Media

computer

Tipe Pembawa

online resource

Edisi

1

Subjek

Matematika
Analisis Matematika

Info Detail Spesifik

-

Pernyataan Tanggungjawab

Michel Willem

Versi lain/terkait

Lampiran Berkas

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