skip to content
Foundations of geometry : Euclidean, Bolyai-Lobachevskian, and projective geometry Preview this item
ClosePreview this item
Checking...

Foundations of geometry : Euclidean, Bolyai-Lobachevskian, and projective geometry

Author: Karol Borsuk; Wanda Szmielew; Erwin Marquit
Publisher: Mineola, New York : Dover Publications, 2018.
Series: Dover books on mathematics.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
In Part One of this comprehensive and frequently cited treatment, the authors develop Euclidean and Bolyai-Lobachevskian geometry on the basis of an axiom system due, in principle, to the work of David Hilbert. Part Two develops projective geometry in much the same way. An Introduction provides background on topological space, analytic geometry, and other relevant topics, and rigorous proofs appear throughout the  Read more...
Rating:

(not yet rated) 0 with reviews - Be the first.

Subjects
More like this

Find a copy online

Links to this item

Find a copy in the library

&AllPage.SpinnerRetrieving; Finding libraries that hold this item...

Details

Genre/Form: Electronic books
Additional Physical Format: Print version:
Borsuk, Karol.
Foundations of geometry.
Mineola, New York : Dover Publications, Inc., 2018
(DLC) 2018022377
(OCoLC)1035811811
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Karol Borsuk; Wanda Szmielew; Erwin Marquit
ISBN: 9780486835570 048683557X
OCLC Number: 1066180029
Notes: Includes index.
Description: 1 online resource (xiv, 444 pages) : illustrations.
Contents: Axioms of incidence and order --
Axioms of congruence --
Axiom of continuity --
Models of absolute geometry --
Euclidean geometry --
Bolyai-Lobachevskian geometry --
Axioms of incidence and order --
Axiom of continuity --
Models of projective geometry.
Series Title: Dover books on mathematics.
Responsibility: Karol Borsuk, Wanda Szmielew ; translated by Erwin Marquit.

Abstract:

In Part One of this comprehensive and frequently cited treatment, the authors develop Euclidean and Bolyai-Lobachevskian geometry on the basis of an axiom system due, in principle, to the work of David Hilbert. Part Two develops projective geometry in much the same way. An Introduction provides background on topological space, analytic geometry, and other relevant topics, and rigorous proofs appear throughout the text. Topics covered by Part One include axioms of incidence and order, axioms of congruence, the axiom of continuity, models of absolute geometry, and Euclidean geometry, culminating in the treatment of Bolyai-Lobachevskian geometry. Part Two examines axioms of incidents and order and the axiom of continuity, concluding with an exploration of models of projective geometry.

Reviews

User-contributed reviews
Retrieving GoodReads reviews...
Retrieving DOGObooks reviews...

Tags

Be the first.

Similar Items

Confirm this request

You may have already requested this item. Please select Ok if you would like to proceed with this request anyway.

Linked Data


Primary Entity

<http://www.worldcat.org/oclc/1066180029> # Foundations of geometry : Euclidean, Bolyai-Lobachevskian, and projective geometry
    a schema:MediaObject, schema:Book, schema:CreativeWork ;
    library:oclcnum "1066180029" ;
    library:placeOfPublication <http://id.loc.gov/vocabulary/countries/nyu> ;
    schema:about <http://dewey.info/class/516/e23/> ;
    schema:about <http://experiment.worldcat.org/entity/work/data/111436181#Topic/mathematics_geometry_general> ; # MATHEMATICS / Geometry / General
    schema:about <http://experiment.worldcat.org/entity/work/data/111436181#Topic/geometry_foundations> ; # Geometry--Foundations
    schema:author <http://experiment.worldcat.org/entity/work/data/111436181#Person/szmielew_wanda> ; # Wanda Szmielew
    schema:author <http://experiment.worldcat.org/entity/work/data/111436181#Person/borsuk_karol> ; # Karol Borsuk
    schema:bookFormat schema:EBook ;
    schema:contributor <http://experiment.worldcat.org/entity/work/data/111436181#Person/marquit_erwin> ; # Erwin Marquit
    schema:datePublished "2018" ;
    schema:description "In Part One of this comprehensive and frequently cited treatment, the authors develop Euclidean and Bolyai-Lobachevskian geometry on the basis of an axiom system due, in principle, to the work of David Hilbert. Part Two develops projective geometry in much the same way. An Introduction provides background on topological space, analytic geometry, and other relevant topics, and rigorous proofs appear throughout the text. Topics covered by Part One include axioms of incidence and order, axioms of congruence, the axiom of continuity, models of absolute geometry, and Euclidean geometry, culminating in the treatment of Bolyai-Lobachevskian geometry. Part Two examines axioms of incidents and order and the axiom of continuity, concluding with an exploration of models of projective geometry."@en ;
    schema:description "Axioms of incidence and order -- Axioms of congruence -- Axiom of continuity -- Models of absolute geometry -- Euclidean geometry -- Bolyai-Lobachevskian geometry -- Axioms of incidence and order -- Axiom of continuity -- Models of projective geometry."@en ;
    schema:exampleOfWork <http://worldcat.org/entity/work/id/111436181> ;
    schema:genre "Electronic books"@en ;
    schema:inLanguage "en" ;
    schema:isPartOf <http://experiment.worldcat.org/entity/work/data/111436181#Series/dover_books_on_mathematics> ; # Dover books on mathematics.
    schema:isSimilarTo <http://www.worldcat.org/oclc/1035811811> ;
    schema:name "Foundations of geometry : Euclidean, Bolyai-Lobachevskian, and projective geometry"@en ;
    schema:productID "1066180029" ;
    schema:url <http://public.ebookcentral.proquest.com/choice/publicfullrecord.aspx?p=5574659> ;
    schema:url <https://rbdigital.rbdigital.com> ;
    schema:url <https://library.icc.edu/login?url=https://ebookcentral.proquest.com/lib/illcencol-ebooks/detail.action?docID=5574659> ;
    schema:url <http://public.eblib.com/choice/publicfullrecord.aspx?p=5574659> ;
    schema:workExample <http://worldcat.org/isbn/9780486835570> ;
    wdrs:describedby <http://www.worldcat.org/title/-/oclc/1066180029> ;
    .


Related Entities

<http://experiment.worldcat.org/entity/work/data/111436181#Person/borsuk_karol> # Karol Borsuk
    a schema:Person ;
    schema:familyName "Borsuk" ;
    schema:givenName "Karol" ;
    schema:name "Karol Borsuk" ;
    .

<http://experiment.worldcat.org/entity/work/data/111436181#Person/marquit_erwin> # Erwin Marquit
    a schema:Person ;
    schema:familyName "Marquit" ;
    schema:givenName "Erwin" ;
    schema:name "Erwin Marquit" ;
    .

<http://experiment.worldcat.org/entity/work/data/111436181#Person/szmielew_wanda> # Wanda Szmielew
    a schema:Person ;
    schema:familyName "Szmielew" ;
    schema:givenName "Wanda" ;
    schema:name "Wanda Szmielew" ;
    .

<http://experiment.worldcat.org/entity/work/data/111436181#Series/dover_books_on_mathematics> # Dover books on mathematics.
    a bgn:PublicationSeries ;
    schema:hasPart <http://www.worldcat.org/oclc/1066180029> ; # Foundations of geometry : Euclidean, Bolyai-Lobachevskian, and projective geometry
    schema:name "Dover books on mathematics." ;
    schema:name "Dover Books on Mathematics" ;
    .

<http://experiment.worldcat.org/entity/work/data/111436181#Topic/geometry_foundations> # Geometry--Foundations
    a schema:Intangible ;
    schema:name "Geometry--Foundations"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/111436181#Topic/mathematics_geometry_general> # MATHEMATICS / Geometry / General
    a schema:Intangible ;
    schema:name "MATHEMATICS / Geometry / General"@en ;
    .

<http://worldcat.org/isbn/9780486835570>
    a schema:ProductModel ;
    schema:isbn "048683557X" ;
    schema:isbn "9780486835570" ;
    .

<http://www.worldcat.org/oclc/1035811811>
    a schema:CreativeWork ;
    rdfs:label "Foundations of geometry." ;
    schema:description "Print version:" ;
    schema:isSimilarTo <http://www.worldcat.org/oclc/1066180029> ; # Foundations of geometry : Euclidean, Bolyai-Lobachevskian, and projective geometry
    .

<http://www.worldcat.org/title/-/oclc/1066180029>
    a genont:InformationResource, genont:ContentTypeGenericResource ;
    schema:about <http://www.worldcat.org/oclc/1066180029> ; # Foundations of geometry : Euclidean, Bolyai-Lobachevskian, and projective geometry
    schema:dateModified "2019-12-12" ;
    void:inDataset <http://purl.oclc.org/dataset/WorldCat> ;
    .


Content-negotiable representations

Close Window

Please sign in to WorldCat 

Don't have an account? You can easily create a free account.