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Undergraduate Texts in Mathematics Ser.: Theory of Join Spaces : A Contemporary
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- Sofort-KaufenUndergraduate Texts in Mathematics Ser.: Theory of Join Spaces : A Contemporary
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Standort: Shepherdsville, Kentucky, USA
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eBay-Artikelnr.:286697617421
Artikelmerkmale
- Artikelzustand
- Features
- Ex-Library
- ISBN
- 9780387903408
Über dieses Produkt
Product Identifiers
Publisher
Springer
ISBN-10
0387903402
ISBN-13
9780387903408
eBay Product ID (ePID)
4861078
Product Key Features
Number of Pages
534 Pages
Publication Name
Theory of Join Spaces : a Contemporary Approach to Convex Sets and Linear Geometry
Language
English
Subject
Geometry / Analytic, Geometry / General
Publication Year
1979
Type
Textbook
Subject Area
Mathematics
Series
Undergraduate Texts in Mathematics Ser.
Format
Hardcover
Dimensions
Item Weight
33.3 Oz
Additional Product Features
Intended Audience
Scholarly & Professional
TitleLeading
The
Number of Volumes
1 vol.
Illustrated
Yes
Synopsis
The main object of this book is to reorient and revitalize classical geometry in a way that will bring it closer to the mainstream of contemporary mathematics. The postulational basis of the subject will be radically revised in order to construct a broad-scale and conceptually unified treatment. The familiar figures of classical geometry-points, segments, lines, planes, triangles, circles, and so on-stem from problems in the physical world and seem to be conceptually unrelated. However, a natural setting for their study is provided by the concept of convex set, which is compara tively new in the history of geometrical ideas. The familiarfigures can then appear as convex sets, boundaries of convex sets, or finite unions of convex sets. Moreover, two basic types of figure in linear geometry are special cases of convex set: linear space (point, line, and plane) and halfspace (ray, halfplane, and halfspace). Therefore we choose convex set to be the central type of figure in our treatment of geometry. How can the wealth of geometric knowledge be organized around this idea? By defini tion, a set is convex if it contains the segment joining each pair of its points; that is, if it is closed under the operation of joining two points to form a segment. But this is precisely the basic operation in Euclid.", The main object of this book is to reorient and revitalize classical geometry in a way that will bring it closer to the mainstream of contemporary mathematics. The postulational basis of the subject will be radically revised in order to construct a broad-scale and conceptually unified treatment. The familiar figures of classical geometry-points, segments, lines, planes, triangles, circles, and so on-stem from problems in the physical world and seem to be conceptually unrelated. However, a natural setting for their study is provided by the concept of convex set, which is compara tively new in the history of geometrical ideas. The familiarfigures can then appear as convex sets, boundaries of convex sets, or finite unions of convex sets. Moreover, two basic types of figure in linear geometry are special cases of convex set: linear space (point, line, and plane) and halfspace (ray, halfplane, and halfspace). Therefore we choose convex set to be the central type of figure in our treatment of geometry. How can the wealth of geometric knowledge be organized around this idea? By defini tion, a set is convex if it contains the segment joining each pair of its points; that is, if it is closed under the operation of joining two points to form a segment. But this is precisely the basic operation in Euclid.
LC Classification Number
QA639.5-640.7QA640.
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- h***8 (206)- Bewertung vom Käufer.Letzte 6 MonateBestätigter KaufWonderful 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!
- a***u (2732)- Bewertung vom Käufer.Letzte 6 MonateBestätigter KaufSmooth 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)
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