The Resource Mathematical analysis : linear and metric structures and continuity, Mariano Giaquinta, Giuseppe Modica
Mathematical analysis : linear and metric structures and continuity, Mariano Giaquinta, Giuseppe Modica
Resource Information
The item Mathematical analysis : linear and metric structures and continuity, Mariano Giaquinta, Giuseppe Modica represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Mathematical analysis : linear and metric structures and continuity, Mariano Giaquinta, Giuseppe Modica represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
 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
 Language
 eng
 Edition
 1st ed.
 Extent
 1 online resource (xviii, 465 pages)
 Contents

 Curves
 Some topics from the topology of R [superscript] n
 Part III. Continuity in infinitedimensional spaces :
 Spaces of continuous functions, Banach spaces and abstract equations
 Hilbert spaces, Dirichlet's principle and linear compact operators
 Some applications
 Part I. Linear algebra :
 Vectors, matrices and linear systems
 Vector spaces and linear maps
 Euclidean and Hermitian spaces
 Selfadjoint operators
 Part II. Metrics and topology :
 Metric spaces and continuous functions
 Compactness and connectedness
 Isbn
 9780817643751
 Label
 Mathematical analysis : linear and metric structures and continuity
 Title
 Mathematical analysis
 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
 http://library.link/vocab/creatorDate
 1947
 http://library.link/vocab/creatorName
 Giaquinta, Mariano
 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
 http://library.link/vocab/relatedWorkOrContributorName
 Modica, Giuseppe
 http://library.link/vocab/subjectName

 Algebras, Linear
 Functions
 Vector spaces
 Continuum (Mathematics)
 Functional analysis
 Algebras, Linear
 Continuum (Mathematics)
 Functional analysis
 Functions
 Vector spaces
 Lineaire algebra
 Topologie
 Ruimten (wiskunde)
 Análise funcional
 Matrizes (álgebra) (teoria)
 Álgebra linear
 Label
 Mathematical analysis : linear and metric structures and continuity, Mariano Giaquinta, Giuseppe Modica
 Bibliography note
 Includes bibliographical references (page 457) and index
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents

 Curves
 Some topics from the topology of R [superscript] n
 Part III. Continuity in infinitedimensional spaces :
 Spaces of continuous functions, Banach spaces and abstract equations
 Hilbert spaces, Dirichlet's principle and linear compact operators
 Some applications
 Part I. Linear algebra :
 Vectors, matrices and linear systems
 Vector spaces and linear maps
 Euclidean and Hermitian spaces
 Selfadjoint operators
 Part II. Metrics and topology :
 Metric spaces and continuous functions
 Compactness and connectedness
 Control code
 213079540
 Dimensions
 unknown
 Edition
 1st ed.
 Extent
 1 online resource (xviii, 465 pages)
 Form of item
 online
 Isbn
 9780817643751
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9780817645144
 Other physical details
 illustrations
 http://library.link/vocab/ext/overdrive/overdriveId
 9780817643744
 Specific material designation
 remote
 System control number
 (OCoLC)213079540
 Label
 Mathematical analysis : linear and metric structures and continuity, Mariano Giaquinta, Giuseppe Modica
 Bibliography note
 Includes bibliographical references (page 457) and index
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents

 Curves
 Some topics from the topology of R [superscript] n
 Part III. Continuity in infinitedimensional spaces :
 Spaces of continuous functions, Banach spaces and abstract equations
 Hilbert spaces, Dirichlet's principle and linear compact operators
 Some applications
 Part I. Linear algebra :
 Vectors, matrices and linear systems
 Vector spaces and linear maps
 Euclidean and Hermitian spaces
 Selfadjoint operators
 Part II. Metrics and topology :
 Metric spaces and continuous functions
 Compactness and connectedness
 Control code
 213079540
 Dimensions
 unknown
 Edition
 1st ed.
 Extent
 1 online resource (xviii, 465 pages)
 Form of item
 online
 Isbn
 9780817643751
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9780817645144
 Other physical details
 illustrations
 http://library.link/vocab/ext/overdrive/overdriveId
 9780817643744
 Specific material designation
 remote
 System control number
 (OCoLC)213079540
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
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.library.missouri.edu/portal/Mathematicalanalysislinearandmetric/iO4Unp7zec/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.missouri.edu/portal/Mathematicalanalysislinearandmetric/iO4Unp7zec/">Mathematical analysis : linear and metric structures and continuity, Mariano Giaquinta, Giuseppe Modica</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.missouri.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.missouri.edu/">University of Missouri Libraries</a></span></span></span></span></div>