Universitext Ser.: Geometry of Surfaces by John C. Stillwell (1992, Trade...

Wamul's Treasures
(14553)
Angemeldet als privater Verkäufer
Verbraucherschützende Vorschriften, die sich aus dem EU-Verbraucherrecht ergeben, finden daher keine Anwendung. Der eBay-Käuferschutz gilt dennoch für die meisten Käufe. Mehr erfahren
Mehr Artikel des Verkäufers
Verkäufer kontaktieren
US $9,00
Ca.EUR 7,74
oder Preisvorschlag
Bisher US $12,00 (- 25%)Was bedeutet dieser Preis?
Aktueller Verkaufspreis (Angabe des Verkäufers)
Artikelzustand:
Sehr gut
Ganz entspannt. Rückgaben akzeptiert.
Abholung:
Versand:
US $4,47 (ca. EUR 3,85) USPS Media MailTM.
Standort: Shepherdsville, Kentucky, USA
Lieferung:
Lieferung zwischen Do, 20. Nov und Mo, 24. Nov nach 94104 bei heutigem Zahlungseingang
Wir wenden ein spezielles Verfahren zur Einschätzung des Liefertermins an – in diese Schätzung fließen Faktoren wie die Entfernung des Käufers zum Artikelstandort, der gewählte Versandservice, die bisher versandten Artikel des Verkäufers und weitere ein. Insbesondere während saisonaler Spitzenzeiten können die Lieferzeiten abweichen.
Rücknahme:
30 Tage Rückgabe. Käufer zahlt Rückversand. Wenn Sie ein eBay-Versandetikett verwenden, werden die Kosten dafür von Ihrer Rückerstattung abgezogen.
Zahlungen:
   Diners Club 

Sicher einkaufen

eBay-Käuferschutz
Geld zurück, wenn etwas mit diesem Artikel nicht stimmt. Mehr erfahreneBay-Käuferschutz - wird in neuem Fenster oder Tab geöffnet

  • Gratis Rückversand im Inland
  • Punkte für jeden Kauf und Verkauf
  • Exklusive Plus-Deals
Mehr erfahren- eBay Plus - wird in neuem Fenster oder Tab geöffnet
Der Verkäufer ist für dieses Angebot verantwortlich.
eBay-Artikelnr.:286855686867

Artikelmerkmale

Artikelzustand
Sehr gut: Buch, das nicht neu aussieht und gelesen wurde, sich aber in einem hervorragenden Zustand ...
Features
Ex-Library
ISBN
9780387977430
Kategorie

Über dieses Produkt

Product Identifiers

Publisher
Springer New York
ISBN-10
0387977430
ISBN-13
9780387977430
eBay Product ID (ePID)
928863

Product Key Features

Number of Pages
Xi, 236 Pages
Language
English
Publication Name
Geometry of Surfaces
Subject
Geometry / General
Publication Year
1992
Type
Textbook
Author
John C. Stillwell
Subject Area
Mathematics
Series
Universitext Ser.
Format
Trade Paperback

Dimensions

Item Weight
26.5 Oz
Item Length
9.3 in
Item Width
6.1 in

Additional Product Features

Intended Audience
Scholarly & Professional
LCCN
91-036341
Number of Volumes
1 vol.
Illustrated
Yes
Dewey Decimal
516.3/62
Table Of Content
1. The Euclidean Plane.- 1.1 Approaches to Euclidean Geometry.- 1.2 Isometries.- 1.3 Rotations and Reflections.- 1.4 The Three Reflections Theorem.- 1.5 Orientation-Reversing Isometries.- 1.6 Distinctive Features of Euclidean Geometry.- 1.7 Discussion.- 2. Euclidean Surfaces.- 2.1 Euclid on Manifolds.- 2.2 The Cylinder.- 2.3 The Twisted Cylinder.- 2.4 The Torus and the Klein Bottle.- 2.5 Quotient Surfaces.- 2.6 A Nondiscontinuous Group.- 2.7 Euclidean Surfaces.- 2.8 Covering a Surface by the Plane.- 2.9 The Covering Isometry Group.- 2.10 Discussion.- 3. The Sphere.- 3.1 The Sphere S2 in ?3.- 3.2 Rotations.- 3.3 Stereographic Projection.- 3.4 Inversion and the Complex Coordinate on the Sphere.- 3.5 Reflections and Rotations as Complex Functions.- 3.6 The Antipodal Map and the Elliptic Plane.- 3.7 Remarks on Groups, Spheres and Projective Spaces.- 3.8 The Area of a Triangle.- 3.9 The Regular Polyhedra.- 3.10 Discussion.- 4. The Hyperbolic Plane.- 4.1 Negative Curvature and the Half-Plane.- 4.2 The Half-Plane Model and the Conformai Disc Model.- 4.3 The Three Reflections Theorem.- 4.4 Isometries as Complex Functions.- 4.5 Geometric Description of Isometries.- 4.6 Classification of Isometries.- 4.7 The Area of a Triangle.- 4.8 The Projective Disc Model.- 4.9 Hyperbolic Space.- 4.10 Discussion.- 5. Hyperbolic Surfaces.- 5.1 Hyperbolic Surfaces and the Killing-Hopf Theorem.- 5.2 The Pseudosphere.- 5.3 The Punctured Sphere.- 5.4 Dense Lines on the Punctured Sphere.- 5.5 General Construction of Hyperbolic Surfaces from Polygons.- 5.6 Geometric Realization of Compact Surfaces.- 5.7 Completeness of Compact Geometric Surfaces.- 5.8 Compact Hyperbolic Surfaces.- 5.9 Discussion.- 6. Paths and Geodesies.- 6.1 Topological Classification of Surfaces.- 6.2 Geometric Classification ofSurfaces.- 6.3 Paths and Homotopy.- 6.4 Lifting Paths and Lifting Homotopies.- 6.5 The Fundamental Group.- 6.6 Generators and Relations for the Fundamental Group.- 6.7 Fundamental Group and Genus.- 6.8 Closed Geodesic Paths.- 6.9 Classification of Closed Geodesic Paths.- 6.10 Discussion.- 7. Planar and Spherical Tessellations.- 7.1 Symmetric Tessellations.- 7.2 Conditions for a Polygon to Be a Fundamental Region.- 7.3 The Triangle Tessellations.- 7.4 Poincaré's Theorem for Compact Polygons.- 7.5 Discussion.- 8. Tessellations of Compact Surfaces.- 8.1 Orbifolds and Desingularizations.- 8.2 Prom Desingularization to Symmetric Tessellation.- 8.3 Desingularizations as (Branched) Coverings.- 8.4 Some Methods of Desingularization.- 8.5 Reduction to a Permutation Problem.- 8.6 Solution of the Permutation Problem.- 8.7 Discussion.- References.
Synopsis
Geometry used to be the basis of a mathematical education; today it is not even a standard undergraduate topic. Much as I deplore this situation, I welcome the opportunity to make a fresh start. Classical geometry is no longer an adequate basis for mathematics or physics-both of which are becoming increasingly geometric-and geometry can no longer be divorced from algebra, topology, and analysis. Students need a geometry of greater scope, and the fact that there is no room for geometry in the curriculum un­ til the third or fourth year at least allows us to assume some mathematical background. What geometry should be taught? I believe that the geometry of surfaces of constant curvature is an ideal choice, for the following reasons: 1. It is basically simple and traditional. We are not forgetting euclidean geometry but extending it enough to be interesting and useful. The extensions offer the simplest possible introduction to fundamentals of modem geometry: curvature, group actions, and covering spaces. 2. The prerequisites are modest and standard. A little linear algebra (mostly 2 x 2 matrices), calculus as far as hyperbolic functions, ba­ sic group theory (subgroups and cosets), and basic topology (open, closed, and compact sets)., Geometry used to be the basis of a mathematical education; today it is not even a standard undergraduate topic. Much as I deplore this situation, I welcome the opportunity to make a fresh start. Classical geometry is no longer an adequate basis for mathematics or physics-both of which are becoming increasingly geometric-and geometry can no longer be divorced from algebra, topology, and analysis. Students need a geometry of greater scope, and the fact that there is no room for geometry in the curriculum un- til the third or fourth year at least allows us to assume some mathematical background. What geometry should be taught? I believe that the geometry of surfaces of constant curvature is an ideal choice, for the following reasons: 1. It is basically simple and traditional. We are not forgetting euclidean geometry but extending it enough to be interesting and useful. The extensions offer the simplest possible introduction to fundamentals of modem geometry: curvature, group actions, and covering spaces. 2. The prerequisites are modest and standard. A little linear algebra (mostly 2 x 2 matrices), calculus as far as hyperbolic functions, ba- sic group theory (subgroups and cosets), and basic topology (open, closed, and compact sets).
LC Classification Number
QA440-699

Artikelbeschreibung des Verkäufers

Info zu diesem Verkäufer

Wamul's Treasures

99,9% positive Bewertungen•42.854 Artikel verkauft

Mitglied seit Okt 2019
Angemeldet als privater VerkäuferDaher finden verbraucherschützende Vorschriften, die sich aus dem EU-Verbraucherrecht ergeben, keine Anwendung. Der eBay-Käuferschutz gilt dennoch für die meisten Käufe. Mehr erfahrenMehr erfahren
Hi and welcome to Wamul's Treasures! Wamul is named after my late wife Wanda. I donate a small percentage to the Brain Tumor association on most items in Wanda's honor. We have a large quantity of ...
Mehr anzeigen
Shop besuchenKontakt

Detaillierte Verkäuferbewertungen

Durchschnitt in den letzten 12 Monaten
Genaue Beschreibung
5.0
Angemessene Versandkosten
4.9
Lieferzeit
5.0
Kommunikation
5.0

Beliebte Kategorien in diesem Shop

Alle ansehenKategorien
ComicsBaseball CardsFootball CardsBasketball CardsHockey CardsBooksMagazinesPokemon CardsGolf Cards

Verkäuferbewertungen (19.304)

Alle Bewertungenselected
Positiv
Neutral
Negativ
  • h***8 (205)- Bewertung vom Käufer.
    Letzte 6 Monate
    Bestätigter Kauf
    Wonderful experience from start to finish. I love these vintage items and the service was great. These were described perfectly and the packaging was top notch. The delivery was super fast. Great customer interaction. Quick responses when sending questions. Will shop here again. These original vintage items are well worth the price and they make a nice addition to my collection. I will tell others about my experience with this vendor. Memorable experience. Thank you! A++ I love it!
    Alabama Recreation & Parks Society District III Swimming Meet 1981 (Nr. 285984536062)
  • a***u (2714)- Bewertung vom Käufer.
    Letzte 6 Monate
    Bestätigter Kauf
    Smooth transaction. Masterfully designed, eye-catching, base card,... received in immaculate, like-new condition. Fast delivery (KY to OK); on a reasonably priced shipping rate. Packaged in an envelope, wrapped in cardboard layer and placed in a toploader. A highly recommended seller, with a phenomenal customer service and a superb communication skill-set. Thanks for making a great looking card available, at an excellent price and a top shelf quality sales experience.
    2002-03 Flair Dikembe Mutombo New Jersey Nets #86 (Nr. 285038469643)
  • 5***e (3362)- Bewertung vom Käufer.
    Letzte 6 Monate
    Bestätigter Kauf
    Softback Book as Described and as Depicted. Very Reliable and Efficient eBay Seller. Book was very well packaged and arrived in Top order and Condition. Seller sent from Shepherdsville, KY, United States to Regional South Australia. Very Nice Book, Great Value and Top Quality. Very Happy with my purchase. Highly Recommended eBay Seller. 5 STARS! Thank You.
    The Concise History Ser.: A Concise History of U. S. Army Special Ops *SIGNED* (Nr. 285987861157)
Alle Bewertungen ansehen

Noch mehr entdecken: