The Resource A Primer on Hilbert Space Theory : Linear Spaces, Topological Spaces, Metric Spaces, Normed Spaces, and Topological Groups, by Carlo Alabiso, Ittay Weiss, (electronic resource)

A Primer on Hilbert Space Theory : Linear Spaces, Topological Spaces, Metric Spaces, Normed Spaces, and Topological Groups, by Carlo Alabiso, Ittay Weiss, (electronic resource)

Label
A Primer on Hilbert Space Theory : Linear Spaces, Topological Spaces, Metric Spaces, Normed Spaces, and Topological Groups
Title
A Primer on Hilbert Space Theory
Title remainder
Linear Spaces, Topological Spaces, Metric Spaces, Normed Spaces, and Topological Groups
Statement of responsibility
by Carlo Alabiso, Ittay Weiss
Creator
Contributor
Author
Provider
Subject
Language
eng
Summary
This book is an introduction to the theory of Hilbert space, a fundamental tool for non-relativistic quantum mechanics. Linear, topological, metric, and normed spaces are all addressed in detail, in a rigorous but reader-friendly fashion. The rationale for an introduction to the theory of Hilbert space, rather than a detailed study of Hilbert space theory itself, resides in the very high mathematical difficulty of even the simplest physical case. Within an ordinary graduate course in physics there is insufficient time to cover the theory of Hilbert spaces and operators, as well as distribution theory, with sufficient mathematical rigor. Compromises must be found between full rigor and practical use of the instruments. The book is based on the author's lessons on functional analysis for graduate students in physics. It will equip the reader to approach Hilbert space and, subsequently, rigged Hilbert space, with a more practical attitude. With respect to the original lectures, the mathematical flavor in all subjects has been enriched. Moreover, a brief introduction to topological groups has been added in addition to exercises and solved problems throughout the text. With these improvements, the book can be used in upper undergraduate and lower graduate courses, both in Physics and in Mathematics
Member of
http://library.link/vocab/creatorName
Alabiso, Carlo
Image bit depth
0
LC call number
QC5.53
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
  • Weiss, Ittay.
  • SpringerLink
Series statement
UNITEXT for Physics,
http://library.link/vocab/subjectName
  • Physics
  • Functional analysis
  • Algebraic topology
  • Mathematical physics
  • Physics
  • Mathematical Methods in Physics
  • Functional Analysis
  • Algebraic Topology
Label
A Primer on Hilbert Space Theory : Linear Spaces, Topological Spaces, Metric Spaces, Normed Spaces, and Topological Groups, by Carlo Alabiso, Ittay Weiss, (electronic resource)
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
1 Introduction and Preliminaries -- 2 Linear Spaces -- 3 Topological Spaces -- 4 Metric Spaces -- 5 Normed Spaces -- 6 Topological Groups -- 7 Solved Problems
Dimensions
unknown
Extent
XVII, 255 p. 5 illus.
File format
multiple file formats
Form of item
electronic
Isbn
9783319037134
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-319-03713-4
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-319-03713-4
Label
A Primer on Hilbert Space Theory : Linear Spaces, Topological Spaces, Metric Spaces, Normed Spaces, and Topological Groups, by Carlo Alabiso, Ittay Weiss, (electronic resource)
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
1 Introduction and Preliminaries -- 2 Linear Spaces -- 3 Topological Spaces -- 4 Metric Spaces -- 5 Normed Spaces -- 6 Topological Groups -- 7 Solved Problems
Dimensions
unknown
Extent
XVII, 255 p. 5 illus.
File format
multiple file formats
Form of item
electronic
Isbn
9783319037134
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-319-03713-4
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-319-03713-4

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