skip to content
Transformation geometry : an introduction to symmetry Preview this item
ClosePreview this item
Checking...

Transformation geometry : an introduction to symmetry

Author: George E Martin
Publisher: New York : Springer, ©1982
Series: Undergraduate texts in mathematics.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:

Transformation Geometry: An Introduction to Symmetry offers a modern approach to Euclidean Geometry. The detailed development of the isometries of the plane is based on only the most elementary  Read more...

Rating:

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

Subjects
More like this

 

Find a copy online

Find a copy in the library

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

Details

Genre/Form: Transformationsgeometrie
Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: George E Martin
ISBN: 0387906363 9780387906362 3540906363 9783540906360
OCLC Number: 41712757
Notes: "Corrected 4th printing"--Title page verso.
Includes indexes.
Description: xii, 237 pages : illustrations ; 25 cm.
Contents: 1 Introduction.- 1.1 Transformations and Collineations.- 1.2 Geometric Notation.- 1.3 Exercises.- 2 Properties of Transformations.- 2.1 Groups of Transformations.- 2.2 Involutions.- 2.3 Exercises.- 3 Translations and Halfturns.- 3.1 Translations.- 3.2 Halfturns.- 3.3 Exercises.- 4 Reflections.- 4.1 Equations for a Reflection.- 4.2 Properties of a Reflection.- 4.3 Exercises.- 5 Congruence.- 5.1 Isometries as Products of Reflections.- 5.2 Paper Folding Experiments and Rotations.- 5.3 Exercises.- 6 The Product of Two Reflections.- 6.1 Translations and Rotations.- 6.2 Fixed Points and Involutions.- 6.3 Exercises.- 7 Even Isometries.- 7.1 Parity.- 7.2 The Dihedral Groups.- 7.3 Exercises.- 8 Classification of Plane Isometries.- 8.1 Glide Reflections.- 8.2 Leonardo's Theorem.- 8.3 Exercises.- 9 Equations for Isometries.- 9.1 Equations.- 9.2 Supplementary Exercises (Chapter 1-8).- 9.3 Exercises.- 10 The Seven Frieze Groups.- 10.1 Frieze Groups.- 10.2 Frieze Patterns.- 10.3 Exercises.- 11 The Seventeen Wallpaper Groups.- 11.1 The Crystallographic Restriction.- 11.2 Wallpaper Groups and Patterns.- 11.3 Exercises.- 12 Tessellations.- 12.1 Tiles.- 12.2 Reptiles.- 12.3 Exercises.- 13 Similarities on the Plane.- 13.1 Classification of Similarities.- 13.2 Equations for Similarities.- 13.3 Exercises.- 14 Classical Theorems.- 14.1 Menelaus, Ceva, Desargues, Pappus, Pascal.- 14.2 Euler, Brianchon, Poncelet, Feuerbach.- 14.3 Exercises.- 15 Affine Transformations.- 15.1 Collineations.- 15.2 Linear Transformations.- 15.3 Exercises.- 16 Transformations on Three-space.- 16.1 Isometries on Space.- 16.2 Similarities on Space.- 16.3 Exercises.- 17 Space and Symmetry.- 17.1 The Platonic Solids.- 17.2 Finite Symmetry Groups on Space.- 17.3 Exercises.- Hints and Answers.- Notation Index.
Series Title: Undergraduate texts in mathematics.
Responsibility: George E. Martin.
More information:

Reviews

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

Tags

Be the first.
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/41712757> # Transformation geometry : an introduction to symmetry
    a schema:CreativeWork, schema:Book ;
   library:oclcnum "41712757" ;
   library:placeOfPublication <http://id.loc.gov/vocabulary/countries/nyu> ;
   library:placeOfPublication <http://dbpedia.org/resource/New_York_City> ; # New York
   schema:about <http://experiment.worldcat.org/entity/work/data/25460337#Topic/geometrie> ; # Geometrie
   schema:about <http://experiment.worldcat.org/entity/work/data/25460337#Topic/transformationsgruppe> ; # Transformationsgruppe
   schema:about <http://id.worldcat.org/fast/940864> ; # Geometry
   schema:about <http://id.worldcat.org/fast/1140811> ; # Symmetry
   schema:about <http://experiment.worldcat.org/entity/work/data/25460337#Topic/symmetrie> ; # Symmetrie
   schema:about <http://id.worldcat.org/fast/1154653> ; # Transformations (Mathematics)
   schema:about <http://dewey.info/class/516.1/e19/> ;
   schema:bookFormat bgn:PrintBook ;
   schema:copyrightYear "1982" ;
   schema:creator <http://viaf.org/viaf/108404945> ; # George Edward Martin
   schema:datePublished "1982" ;
   schema:exampleOfWork <http://worldcat.org/entity/work/id/25460337> ;
   schema:genre "Transformationsgeometrie"@en ;
   schema:inLanguage "en" ;
   schema:isPartOf <http://experiment.worldcat.org/entity/work/data/25460337#Series/undergraduate_texts_in_mathematics> ; # Undergraduate texts in mathematics.
   schema:name "Transformation geometry : an introduction to symmetry"@en ;
   schema:productID "41712757" ;
   schema:publication <http://www.worldcat.org/title/-/oclc/41712757#PublicationEvent/new_york_springer_1982_1997_printing> ;
   schema:publisher <http://experiment.worldcat.org/entity/work/data/25460337#Agent/springer> ; # Springer
   schema:url <http://www.gbv.de/dms/hbz/toc/ht000262428.pdf> ;
   schema:url <http://digitool.hbz-nrw.de:1801/webclient/DeliveryManager?pid=2003912&custom_att_2=simple_viewer> ;
   schema:url <http://catdir.loc.gov/catdir/enhancements/fy0814/97170919-t.html> ;
   schema:url <http://swbplus.bsz-bw.de/bsz039875083cov.htm> ;
   schema:workExample <http://worldcat.org/isbn/9783540906360> ;
   schema:workExample <http://worldcat.org/isbn/9780387906362> ;
   umbel:isLike <http://d-nb.info/840663579> ;
   wdrs:describedby <http://www.worldcat.org/title/-/oclc/41712757> ;
    .


Related Entities

<http://dbpedia.org/resource/New_York_City> # New York
    a schema:Place ;
   schema:name "New York" ;
    .

<http://experiment.worldcat.org/entity/work/data/25460337#Series/undergraduate_texts_in_mathematics> # Undergraduate texts in mathematics.
    a bgn:PublicationSeries ;
   schema:hasPart <http://www.worldcat.org/oclc/41712757> ; # Transformation geometry : an introduction to symmetry
   schema:name "Undergraduate texts in mathematics." ;
   schema:name "Undergraduate texts in mathematics" ;
    .

<http://experiment.worldcat.org/entity/work/data/25460337#Topic/transformationsgruppe> # Transformationsgruppe
    a schema:Intangible ;
   schema:name "Transformationsgruppe"@en ;
    .

<http://id.worldcat.org/fast/1140811> # Symmetry
    a schema:Intangible ;
   schema:name "Symmetry"@en ;
    .

<http://id.worldcat.org/fast/1154653> # Transformations (Mathematics)
    a schema:Intangible ;
   schema:name "Transformations (Mathematics)"@en ;
    .

<http://id.worldcat.org/fast/940864> # Geometry
    a schema:Intangible ;
   schema:name "Geometry"@en ;
    .

<http://viaf.org/viaf/108404945> # George Edward Martin
    a schema:Person ;
   schema:birthDate "1932" ;
   schema:familyName "Martin" ;
   schema:givenName "George Edward" ;
   schema:givenName "George E." ;
   schema:name "George Edward Martin" ;
    .

<http://worldcat.org/isbn/9780387906362>
    a schema:ProductModel ;
   schema:isbn "0387906363" ;
   schema:isbn "9780387906362" ;
    .

<http://worldcat.org/isbn/9783540906360>
    a schema:ProductModel ;
   schema:isbn "3540906363" ;
   schema:isbn "9783540906360" ;
    .


Content-negotiable representations

Close Window

Please sign in to WorldCat 

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