Elementary theory of metric spaces (Record no. 58697)

MARC details
000 -LEADER
fixed length control field 02254nam a22002657a 4500
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20220105124423.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 220105b ||||| |||| 00| 0 eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9780387907062
028 ## - DISTRIBUTOR NAME
Distributor Name :Variety Books Publishers & Distributors
Distributor address :B-10 Street No 2 West Vinod Nagar Delhi 110092
Bill Number :IM2896
Bill Date :10/12/2021
082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 514.32 REI
100 ## - MAIN ENTRY--PERSONAL NAME
Personal name Reisel, Robert B
245 ## - TITLE STATEMENT
Title Elementary theory of metric spaces
Remainder of title : a course in constructing mathematical proofs
Statement of responsibility, etc / Robert B Reisel
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Place of publication, distribution, etc New York
Name of publisher, distributor, etc : Springer-Verlag,
Date of publication, distribution, etc ©1982.
300 ## - PHYSICAL DESCRIPTION
Extent 120 pages
Dimensions ; 24 cm
365 ## - TRADE PRICE
Price amount 6652
505 ## - FORMATTED CONTENTS NOTE
Contents note 0. Some Ideas of Logic.- I. Sets and Mappings.- 1. Some Concepts of Set Theory.- 2. Some Further Operations on Sets.- 3. Mappings.- 4. Surjective and Injective Mappings.- 5. Bijective Mappings and Inverses.- II. Metric Spaces.- 1. Definition of Metric Space and Some Examples.- 2. Closed and Open Balls; Spheres.- 3. Open Sets.- 4. Closed Sets.- 5. Closure of a Set.- 6. Diameter of a Set; Bounded Sets.- 7. Subspaces of a Metric Space.- 8. Interior of a Set.- 9. Boundary of a Set.- 10. Dense Sets.- 11. Afterword.- III. Mappings of Metric Spaces.- 1. Continuous Mappings.- 2. Continuous Mappings and Subspaces.- 3. Uniform Continuity.- IV. Sequences in Metric Spaces.- 1. Sequences.- 2. Sequences in Metric Spaces.- 3. Cluster Points of a Sequence.- 4. Cauchy Sequences.- 5. Complete Metric Spaces.- V. Connectedness.- 1. Connected Spaces and Sets.- 2. Connected Sets in R.- 3. Mappings of Connected Spaces and Sets.- VI. Compactness.- 1. Compact Spaces and Sets.- 2. Mappings of Compact Spaces.- 3. Sequential Compactness.- 4. Compact Subsets of R.- Afterword.- Appendix M. Mathematical Induction.- Appendix S. Solutions.
520 ## - SUMMARY, ETC.
Summary, etc Science students have to spend much of their time learning how to do laboratory work, even if they intend to become theoretical, rather than experimental, scientists. Mathematics students must try to prove results and then have their work criticized by experienced mathematicians.
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Mathematics
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Topology
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Functions of real variables.
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Functional analysis.
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Metric spaces.
700 ## - ADDED ENTRY--PERSONAL NAME
Personal name Reisel, Robert B
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Koha item type Mathematics Departmental Library
Holdings
Withdrawn status Lost status Source of classification or shelving scheme Damaged status Not for loan Home library Current library Date acquired Source of acquisition Cost, normal purchase price Total Checkouts Full call number Barcode Date last seen Price effective from Koha item type Public note
    Dewey Decimal Classification   Not For Loan Mathematics Departmental Library SNU LIBRARY 05/01/2022 Variety Books Publishers & Distributors 6652.00   514.32 REI M327 05/01/2022 05/01/2022 Mathematics Departmental Library FPDA Grant
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