Kniha Mathematical Analysis Mariano Giaquinta

Mathematical Analysis

Jazyk: Angličtina
Vazba: Pevná
Dostupnost: Skladem u dodavatele v malém množství
Odesíláme za 13-18 dnů
2 567
This self-contained work on linear and metric structures focuses on studying continuity and its appl...

Informace o knize

Jazyk
Angličtina
Vazba
Kniha - Pevná
Vydáno
2007
Stránek
466
EAN
9780817643744
ISBN
0817643745
Enbook ID
01399374
Hmotnost
1950
Rozměry
155 x 235 x 28

Kompletní popis

This self-contained work on linear and metric structures focuses on studying continuity and its applications to finite- and infinite-dimensional spaces.§The book is divided into three parts. The first part introduces the basic ideas of linear and metric spaces, including the Jordan canonical form of matrices and the spectral theorem for self-adjoint and normal operators. The second part examines the role of general topology in the context of metric spaces and includes the notions of homotopy and degree. The third and final part is a discussion on Banach spaces of continuous functions, Hilbert spaces and the spectral theory of compact operators.§Mathematical Analysis: Linear and Metric Structures and Continuity motivates the study of linear and metric structures with examples, observations, exercises, and illustrations. It may be used in the classroom setting or for self-study by advanced undergraduate and graduate students and as a valuable reference for researchers in mathematics, physics, and engineering.Other books recently published by the authors include: Mathematical Analysis: Functions of One Variable, and Mathematical Analysis: Approximation and Discrete Processes. This book builds upon the discussion in these books to provide the reader with a strong foundation in modern-day analysis.

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