Coverart for item
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

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
Creator
Contributor
Subject
Language
eng
Summary
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
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
Instantiates
Publication
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 infinite-dimensional 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
  • Self-adjoint 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
10.1007/978-0-8176-4514-4
Other physical details
illustrations
http://library.link/vocab/ext/overdrive/overdriveId
978-0-8176-4374-4
Specific material designation
remote
System control number
(OCoLC)213079540
Label
Mathematical analysis : linear and metric structures and continuity, Mariano Giaquinta, Giuseppe Modica
Publication
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 infinite-dimensional 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
  • Self-adjoint 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
10.1007/978-0-8176-4514-4
Other physical details
illustrations
http://library.link/vocab/ext/overdrive/overdriveId
978-0-8176-4374-4
Specific material designation
remote
System control number
(OCoLC)213079540

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      38.944491 -92.326012
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