Transformation Geometry: An Introduction to Symmetry (Undergraduate Texts in Mathematics) - Erstausgabe

EAN (ISBN-13): 9780387906362
ISBN (ISBN-10): 0387906363
Gebundene Ausgabe
Taschenbuch
Erscheinungsjahr: 2007
Herausgeber: Springer
256 Seiten
Gewicht: 0,549 kg
Sprache: eng/Englisch

Buch in der Datenbank seit 2007-05-04T18:40:11+02:00 (Berlin)
Detailseite zuletzt geändert am 2023-12-17T00:42:15+01:00 (Berlin)
ISBN/EAN: 9780387906362

ISBN - alternative Schreibweisen:
0-387-90636-3, 978-0-387-90636-2
Alternative Schreibweisen und verwandte Suchbegriffe:
Autor des Buches: martin george, georg martin, die frau des juweliers, lennox, flaubert, petronius, ernst heyda, peter reich, habsburg, dick, arno schmidt
Titel des Buches: introduction geometry, transformation symmetry, graduate, mathematics, die frau des juweliers, der briefwechsel mit den brüdern goncourt, satiricon, inspektor morris hat humor, book, karl, felix extra, rotherham united history, albemuth, questar, leviathan, feuer und stein roman, rumpelstilzchen, undergraduate text, george martin

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Daten vom Verlag:

Autor/in: George E. Martin
Titel: Undergraduate Texts in Mathematics; Transformation Geometry - An Introduction to Symmetry
Verlag: Springer; Springer US
240 Seiten
Erscheinungsjahr: 1982-04-13
New York; NY; US
Sprache: Englisch
85,59 € (DE)
87,99 € (AT)
94,50 CHF (CH)
Available
XII, 240 p.

BB; Hardcover, Softcover / Mathematik/Geometrie; Geometrie; Verstehen; Abbildungsgeometrie; Congruence; Euclidean geometry; Geometry; Martin; Geometry; BC

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.
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