Zur Startseite gehen
0,00 €*
Cover: 9780387983066 | Geometry: Plane and Fancy | David A. Singer | Buch | x | Englisch
Dekorationsartikel gehören nicht zum Leistungsumfang.
Geometry: Plane and Fancy
Buch von David A. Singer
Sprache: Englisch

53,49 €*

inkl. MwSt.

Versandkostenfrei per Post / DHL

Aktuell nicht verfügbar

Kategorien:
Beschreibung
GEOMETRY: Plane and Fancy offers students a fascinating tour through parts of geometry they are unlikely to see in the rest of their studies while, at the same time, anchoring their excursions to the well known parallel postulate of Euclid. The author shows how alternatives to Euclid's fifth postulate lead to interesting and different patterns and symmetries. In the process of examining geometric objects, the author incorporates the algebra of complex (and hypercomplex) numbers, some graph theory, and some topology. Nevertheless, the book has only mild prerequisites. Readers are assumed to have had a course in Euclidean geometry (including some analytic geometry and some algebra) at the high school level. While many concepts introduced are advanced, the mathematical techniques are not. Singer's lively exposition and off-beat approach will greatly appeal both to students and mathematicians. Interesting problems are nicely scattered throughout the text. The contents of the book can be covered in a one-semester course, perhaps as a sequel to a Euclidean geometry course.
GEOMETRY: Plane and Fancy offers students a fascinating tour through parts of geometry they are unlikely to see in the rest of their studies while, at the same time, anchoring their excursions to the well known parallel postulate of Euclid. The author shows how alternatives to Euclid's fifth postulate lead to interesting and different patterns and symmetries. In the process of examining geometric objects, the author incorporates the algebra of complex (and hypercomplex) numbers, some graph theory, and some topology. Nevertheless, the book has only mild prerequisites. Readers are assumed to have had a course in Euclidean geometry (including some analytic geometry and some algebra) at the high school level. While many concepts introduced are advanced, the mathematical techniques are not. Singer's lively exposition and off-beat approach will greatly appeal both to students and mathematicians. Interesting problems are nicely scattered throughout the text. The contents of the book can be covered in a one-semester course, perhaps as a sequel to a Euclidean geometry course.
Zusammenfassung
GEOMETRY: Plane and Fancy offers students a fascinating tour through parts of geometry they are unlikely to see in the rest of their studies while, at the same time, anchoring their excursions to the well known parallel postulate of Euclid. The author shows how alternatives to Euclid's fifth postulate leads to interesting and different patterns and symmetries.
Inhaltsverzeichnis
1 Euclid and Non-Euclid.- 1.1 The Postulates: What They Are and Why.- 1.2 The Parallel Postulate and Its Descendants.- 1.3 Proving the Parallel Postulate.- 2 Tiling the Plane with Regular Polygons.- 2.1 Isometries and Transformation Groups.- 2.2 Regular and Semiregular Tessellations.- 2.3 Tessellations That Aren't, and Some Fractals.- 2.4 Complex Numbers and the Euclidean Plane.- 3 Geometry of the Hyperbolic Plane.- 3.1 The Poincaré disc and Isometries of the Hyperbolic Plane.- 3.2 Tessellations of the Hyperbolic Plane.- 3.3 Complex numbers, Möbius Transformations, and Geometry.- 4 Geometry of the Sphere.- 4.1 Spherical Geometry as Non-Euclidean Geometry.- 4.2 Graphs and Euler's Theorem.- 4.3 Tiling the Sphere: Regular and Semiregular Polyhedra.- 4.4 Lines and Points: The Projective Plane and Its Cousin.- 5 More Geometry of the Sphere.- 5.1 Convex Polyhedra are Rigid: Cauchy's Theorem.- 5.2 Hamilton, Quaternions, and Rotating the Sphere.- 5.3 Curvature of Polyhedra and the Gauss-Bonnet Theorem.- 6 Geometry of Space.- 6.1 A Hint of Riemannian Geometry.- 6.2 What Is Curvature?.- 6.3 From Euclid to Einstein.- References.
Details
Erscheinungsjahr: 1998
Fachbereich: Geometrie
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Reihe: Undergraduate Texts in Mathematics
Inhalt: x
162 S.
ISBN-13: 9780387983066
ISBN-10: 0387983066
Sprache: Englisch
Herstellernummer: 10635108
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Singer, David A.
Hersteller: Springer New York
Springer US, New York, N.Y.
Undergraduate Texts in Mathematics
Maße: 241 x 160 x 15 mm
Von/Mit: David A. Singer
Erscheinungsdatum: 09.01.1998
Gewicht: 0,436 kg
Artikel-ID: 106873116
Zusammenfassung
GEOMETRY: Plane and Fancy offers students a fascinating tour through parts of geometry they are unlikely to see in the rest of their studies while, at the same time, anchoring their excursions to the well known parallel postulate of Euclid. The author shows how alternatives to Euclid's fifth postulate leads to interesting and different patterns and symmetries.
Inhaltsverzeichnis
1 Euclid and Non-Euclid.- 1.1 The Postulates: What They Are and Why.- 1.2 The Parallel Postulate and Its Descendants.- 1.3 Proving the Parallel Postulate.- 2 Tiling the Plane with Regular Polygons.- 2.1 Isometries and Transformation Groups.- 2.2 Regular and Semiregular Tessellations.- 2.3 Tessellations That Aren't, and Some Fractals.- 2.4 Complex Numbers and the Euclidean Plane.- 3 Geometry of the Hyperbolic Plane.- 3.1 The Poincaré disc and Isometries of the Hyperbolic Plane.- 3.2 Tessellations of the Hyperbolic Plane.- 3.3 Complex numbers, Möbius Transformations, and Geometry.- 4 Geometry of the Sphere.- 4.1 Spherical Geometry as Non-Euclidean Geometry.- 4.2 Graphs and Euler's Theorem.- 4.3 Tiling the Sphere: Regular and Semiregular Polyhedra.- 4.4 Lines and Points: The Projective Plane and Its Cousin.- 5 More Geometry of the Sphere.- 5.1 Convex Polyhedra are Rigid: Cauchy's Theorem.- 5.2 Hamilton, Quaternions, and Rotating the Sphere.- 5.3 Curvature of Polyhedra and the Gauss-Bonnet Theorem.- 6 Geometry of Space.- 6.1 A Hint of Riemannian Geometry.- 6.2 What Is Curvature?.- 6.3 From Euclid to Einstein.- References.
Details
Erscheinungsjahr: 1998
Fachbereich: Geometrie
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Reihe: Undergraduate Texts in Mathematics
Inhalt: x
162 S.
ISBN-13: 9780387983066
ISBN-10: 0387983066
Sprache: Englisch
Herstellernummer: 10635108
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Singer, David A.
Hersteller: Springer New York
Springer US, New York, N.Y.
Undergraduate Texts in Mathematics
Maße: 241 x 160 x 15 mm
Von/Mit: David A. Singer
Erscheinungsdatum: 09.01.1998
Gewicht: 0,436 kg
Artikel-ID: 106873116
Warnhinweis

Ähnliche Produkte

Ähnliche Produkte

Taschenbuch
Cover: 9780691083940 | The Calculi of Lambda-Conversion (AM-6), Volume 6 | Alonzo Church
The Calculi of Lambda-Conversion
EAN: 9780691083940
Sprache: Englisch
Von/Mit: Alonzo Church

55,30 €*

Aktuell nicht verfügbar

Taschenbuch
Cover: 9780691168258 | Positive Definite Matrices | Rajendra Bhatia | Taschenbuch | Paperback
Positive Definite Matrices
EAN: 9780691168258
Sprache: Englisch
Von/Mit: Rajendra Bhatia

37,60 €*

Aktuell nicht verfügbar

Taschenbuch
Cover: 9783642639326 | Functions of a Real Variable | Elementary Theory | N. Bourbaki | Buch
Functions of a Real Variable
Elementary Theory
EAN: 9783642639326
Sprache: Englisch
Von/Mit: N. Bourbaki

119,95 €*

Lieferzeit 4-7 Werktage

Taschenbuch
Cover: 9781461427230 | Matrices | Theory and Applications | Denis Serre | Taschenbuch | XIV
Matrices
Theory and Applications
EAN: 9781461427230
Sprache: Englisch
Von/Mit: Denis Serre

58,45 €*

Lieferzeit 4-7 Werktage

Buch
Cover: 9789814412254 | GEOMETRY OF CRYSTALLOGRAPHIC GROUPS | Andrzej Szczepanski | Buch
GEOMETRY OF CRYSTALLOGRAPHIC GROUPS
EAN: 9789814412254
Sprache: Englisch
Von/Mit: Andrzej Szczepanski

92,50 €*

Aktuell nicht verfügbar

Taschenbuch
Cover: 9781107675223 | Vectors, Pure and Applied | T. W. Körner | Taschenbuch | Paperback
Vectors, Pure and Applied
EAN: 9781107675223
Von/Mit: T. W. Körner

49,90 €*

Aktuell nicht verfügbar

Taschenbuch
Cover: 9780199202485 | Topology | A Geometric Approach | Terry Lawson | Taschenbuch | 2006
Topology
A Geometric Approach
EAN: 9780199202485
Sprache: Englisch
Von/Mit: Terry Lawson

99,50 €*

Aktuell nicht verfügbar

Buch
Cover: 9789813278547 | Exploring Scale Symmetry | Thomas Lowe | Buch | Englisch | 2021 | WSPC
EXPLORING SCALE SYMMETRY
EAN: 9789813278547
Sprache: Englisch
Von/Mit: Thomas Lowe

110,80 €*

Aktuell nicht verfügbar

Buch
Cover: 9789811588631 | Stochastic Analysis | Shigeo Kusuoka | Buch | xii | Englisch | 2020
Stochastic Analysis
EAN: 9789811588631
Sprache: Englisch
Von/Mit: Shigeo Kusuoka

128,39 €*

Aktuell nicht verfügbar

Taschenbuch
Cover: 9783031623837 | Differential Geometry | Paulo Ventura Araújo | Taschenbuch | Paperback
Differential Geometry
EAN: 9783031623837
Sprache: Englisch
Von/Mit: Paulo Ventura Araújo

61,95 €*

Lieferzeit 1-2 Wochen

Taschenbuch
Cover: 9781032047782 | Differential Geometry of Curves and Surfaces | Banchoff (u. a.) | Buch
Differential Geometry of Curves and Surfaces
EAN: 9781032047782
Sprache: Englisch
Von/Mit: Thomas F. Banchoff (u. a.)

83,70 €*

Lieferzeit 1-2 Wochen

Diese Website verwendet Cookies, um eine bestmögliche Erfahrung bieten zu können. Mehr Informationen ...