Mathematical analysis : linear and metric structures and continuity
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The work Mathematical analysis : linear and metric structures and continuity represents a distinct intellectual or artistic creation found in University of Missouri Libraries. This resource is a combination of several types including: Work, Language Material, Books.
The Resource
Mathematical analysis : linear and metric structures and continuity
Resource Information
The work Mathematical analysis : linear and metric structures and continuity represents a distinct intellectual or artistic creation found in University of Missouri Libraries. This resource is a combination of several types including: Work, Language Material, Books.
 Label
 Mathematical analysis : linear and metric structures and continuity
 Title remainder
 linear and metric structures and continuity
 Statement of responsibility
 Mariano Giaquinta, Giuseppe Modica
 Subject

 Algebras, Linear
 Algebras, Linear
 Análise funcional
 Continuum (Mathematics)
 Continuum (Mathematics)
 Continuum (Mathematics)
 Functional analysis
 Functional analysis
 Functional analysis
 Functions
 Functions
 Functions
 Lineaire algebra
 Matrizes (álgebra) (teoria)
 Ruimten (wiskunde)
 Topologie
 Vector spaces
 Vector spaces
 Vector spaces
 Álgebra linear
 Algebras, Linear
 Language
 eng
 Summary
 This selfcontained work on linear and metric structures focuses on studying continuity and its applications to finite and infinitedimensional 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 selfadjoint 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 selfstudy 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 modernday analysis
 Cataloging source
 GW5XE
 Dewey number
 515
 Illustrations
 illustrations
 Index
 index present
 Language note
 English
 LC call number
 QA184.2
 LC item number
 .G53 2007eb
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
 NLM call number
 Online Book
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 Mathematical analysis : linear and metric structures and continuity, Mariano Giaquinta, Giuseppe Modica
 Mathematical analysis : linear and metric structures and continuity, Mariano Giaquinta, Giuseppe Modica
 Mathematical analysis : linear and metric structures and continuity, Mariano Giaquinta, Giuseppe Modica
 Mathematical analysis : linear and metric structures and continuity, Mariano Giaquinta, Giuseppe Modica
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