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NEU Grundlegende Konzepte der Geometrie von Bruce E. Meserve Taschenbuch - R44-
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eBay-Artikelnr.:116821291537
Artikelmerkmale
- Artikelzustand
- Book Title
- Fundamental Concepts of Geometry
- ISBN-13
- 9780486634159
- ISBN
- 9780486634159
Über dieses Produkt
Product Identifiers
Publisher
Dover Publications, Incorporated
ISBN-10
0486634159
ISBN-13
9780486634159
eBay Product ID (ePID)
895338
Product Key Features
Number of Pages
336 Pages
Language
English
Publication Name
Fundamental concepts of Geometry
Subject
Geometry / General
Publication Year
2010
Type
Textbook
Subject Area
Mathematics
Series
Dover Books on Mathematics Ser.
Format
Trade Paperback
Dimensions
Item Height
0.7 in
Item Weight
14.1 Oz
Item Length
8.3 in
Item Width
5.4 in
Additional Product Features
Intended Audience
College Audience
Illustrated
Yes
Dewey Decimal
516
Table Of Content
CHAPTER 1. FOUNDATIONS OF GEOMETRY 1-1 Logical systems 1-2 Logical notations 1-3 Inductive and deductive reasoning 1-4 Postulates 1-5 Independent postulates 1-6 Categorical sets of postulates 1-7 A geometry of number triples 1-8 Geometric invariants CHAPTER 2. SYNTHETIC PROJECTIVE GEOMETRY 2-1 Postulates of incidence and existence 2-2 Properties of a projective plane 2-3 Figures 2-4 Duality 2-5 Perspective figures 2-6 Projective transformations 2-7 Postulate of Projectivity 2-8 Quadrangles 2-9 Complete and simple n-points 2-10 Theorem of Desargues 2-11 Theorem of Pappus 2-12 Conics 2-13 Theorem of Pascal 2-14 Survey CHAPTER 3. COORDINATE SYSTEMS 3-1 Quadrangular sets 3-2 Properties of quadrangular sets 3-3 Harmonic sets 3-4 Postulates of Separation 3-5 Nets of rationality 3-6 Real projective geometry 3-7 Nonhomogeneous coordinates 3-8 Homogeneous coordinates 3-9 Survey CHAPTER 4. ANALYTIC PROJECTIVE GEOMETRY 4-1 Representations in space 4-2 Representations on a plane 4-3 Representations on a line 4-4 Matrices 4-5 Cross ratio 4-6 Analytic and synthetic geometries 4-7 Groups 4-8 Classification of projective transformations 4-9 Polarities and conics 4-10 Conics 4-11 Involutions on a line 4-12 Survey CHAPTER 5. AFFINE GEOMETRY 5-1 Ideal points 5-2 Parallels 5-3 Mid-point 5-4 Classification of conics 5-5 Affine transformations 5-6 Homothetic transformations 5-7 Translations 5-8 Dilations 5-9 Line reflections 5-10 Equiaffine and equiareal transformations 5-11 Survey CHAPTER 6. EUCLIDEAN PLANE GEOMETRY 6-1 Perpendicluar lines 6-2 Similarity transformations 6-3 Orthogonal line reflections 6-4 Euclidean transformations 6-5 Distances 6-6 Directed angles 6-7 Angles 6-8 Common figures 6-9 Survey CHAPTER 7. THE EVOLUTION OF GEOMETRY 7-1 Early measurements 7-2 Early Greek influence 7-3 Euclid 7-4 Early euclidean geometry 7-5 The awakening in Europe 7-6 Constructions 7-7 Descriptive geometry 7-8 Seventeenth century 7-9 Eighteenth century 7-10 Euclid's fifth postulate 7-11 Nineteenth and twentieth centuries 7-12 Survey CHAPTER 8. NONEUCLIDEAN GEOMETRY 8-1 The absolute polarity 8-2 Points and lines 8-3 Hyperbolic geometry 8-4 Elliptic and spherical geometries 8-5 Comparisons CHAPTER 9. TOPOLOGY 9-1 Topology 9-2 Homeomorphic figures 9-3 Jordan Curve Theorem 9-4 Surfaces 9-5 Euler's Formula 9-6 Tranversable networks 9-7 Four-color problem 9-8 Fixed-point theorems 9-9 Moebius strip 9-10 Survey BIBLIOGRAPHY INDEX
Edition Description
Reprint,New Edition
Synopsis
Demonstrates in a clear and lucid manner the relationships between several types of geometry. This highly regarded work is a superior teaching text, especially valuable in teacher preparation, as well as providing an excellent overview of the foundations and historical evolution of geometrical concepts. Preface. Index. Bibliography. Exercises (no solutions). Includes 98 illustrations., Fundamental Concepts of Geometry demonstrates in a clear and lucid manner the relationships of several types of geometry to one another. This highly regarded work is a superior teaching text, especially valuable in teacher preparation, as well as providing an excellent overview of the foundations and historical evolution of geometrical concepts. Professor Meserve (University of Vermont) offers students and prospective teachers the broad mathematical perspective gained from an elementary treatment of the fundamental concepts of mathematics. The clearly presented text is written on an undergraduate (or advanced secondary-school) level and includes numerous exercises and a brief bibliography. An indispensable taddition to any math library, this helpful guide will enable the reader to discover the relationships among Euclidean plane geometry and other geometries; obtain a practical understanding of "proof"; view geometry as a logical system based on postulates and undefined elements; and appreciate the historical evolution of geometric concepts., Demonstrates relationships between different types of geometry. Provides excellent overview of the foundations and historical evolution of geometrical concepts. Exercises (no solutions). Includes 98 illustrations.
LC Classification Number
QA445.M45
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Relevanteste Rezensionen
- 17. Mär. 2020
Complicated but understandable somewhat.
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Justuffresale
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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
Verkäuferbewertungen (10.218)
- i***n (6124)- Bewertung vom Käufer.Letzte 6 MonateBestätigter Kauf🌴As a new seller to me, you’ve more than just made the grade for a good transaction, you’ve earned an excellent score! An AAA+++ rating is more like it!🦩You’ve ticked all the boxes for the elements that add up to what makes an outstanding purchase.🦩Fair pricing, competent packaging, fast shipping, and excellent customer service are what’s needed for the best purchases with an online store. You’ve met the criteria and more!🦩New Candle from Neiman Marcus-R21-3830 (Nr. 116612290106)
- 2***2 (91)- Bewertung vom Käufer.Letzte 6 MonateBestätigter KaufAs always, very consistent AAA++++ Seller. Locomotives were packed very well in a hard case, items are an excellent shape very pleased with purchase and again awesome job. Thank you. Shipping is very fair and prompt. Excellent value very pleased with the purchase item is described perfectly thank you keep up the good work.
- t***9 (73)- Bewertung vom Käufer.Letzte 6 MonateBestätigter KaufAmazing seller! What I ordered was packaged very well, and exactly as described. I'm so very excited!!! Will do business again, happily!!!! Great price, shipping was fast and exactly when I expected it! Check out their store!!!