MARC record from Internet Archive

LEADER: 03220cam 2200481 a 4500
001 ocm16756891
003 OCoLC
005 20201026225223.0
008 870819s1988 caua b 001 0 eng
010 $a 87025048
040 $aDLC$beng$cDLC$dBTCTA$dYDXCP$dCNNWL$dLGG$dMCW$dGBVCP$dOCLCO$dOCLCF$dOCLCQ
019 $a1191378334
020 $a0534083102
020 $a9780534083106
035 $a(OCoLC)16756891$z(OCoLC)1191378334
050 00 $aQA473$b.S53 1988
082 04 $a516/.04$219
100 1 $aSmart, James R.
245 10 $aModern geometries /$cJames R. Smart.
250 $a3rd ed.
260 $aPacific Grove, Calif. :$bBrooks/Cole Pub. Co.,$c©1988.
300 $axi, 366 pages :$billustrations ;$c25 cm.
336 $atext$btxt$2rdacontent
337 $aunmediated$bn$2rdamedia
338 $avolume$bnc$2rdacarrier
490 1 $aContemporary undergraduate mathematics series
504 $aIncludes bibliographical references (pages 343-345) and index.
520 $aThis comprehensive, best-selling text focuses on the study of many different geometries -- rather than a single geometry -- and is thoroughly modern in its approach. Each chapter is essentially a short course on one aspect of modern geometry, including finite geometries, the geometry of transformations, convexity, advanced Euclidean geometry, inversion, projective geometry, geometric aspects of topology, and non-Euclidean geometries. This edition reflects the recommendations of the COMAP proceedings on Geometry's Future, the NCTM standards, and the Professional Standards for Teaching Mathematics. References to a new companion text, Active Geometry by David A. Thomas encourage students to explore the geometry of motion through the use of computer software. Using Active Geometry at the beginning of various sections allows professors to give students a somewhat more intuitive introduction using current technology before moving on to more abstract concepts and theorems.
505 0 $aSets of axioms and finite geometries -- Geometric transformations -- Convexity -- Euclidean geometry of the polygon and circle -- Constructions -- The transformation of inversion -- Projective geometry -- Introduction to topological transformations -- Non-Euclidean geometries -- Appendix 1: Hilbert's axioms -- Appendix 2: Birkhoff's postulates -- Appendix 3: Illustrations of basic Euclidean constructions -- Appendix 4: Selected ideas from logic -- Appendix 5: Selected theorems from plane Euclidean geometry.
650 0 $aGeometry, Modern.
650 7 $aGeometry, Modern.$2fast$0(OCoLC)fst00940925
776 08 $iOnline version:$aSmart, James R.$tModern geometries.$b3rd ed.$dPacific Grove, Calif. : Brooks/Cole Pub. Co., ©1988$w(OCoLC)651708626
830 0 $aContemporary undergraduate mathematics series.
856 41 $3Table of contents$uhttp://www.gbv.de/dms/hbz/toc/ht004968189.PDF
938 $aBaker and Taylor$bBTCP$n87025048$c$26.00
938 $aYBP Library Services$bYANK$n482876
029 1 $aAU@$b000005539649
029 1 $aGBVCP$b018665497
029 1 $aHEBIS$b008255180
029 1 $aNZ1$b3510431
029 1 $aYDXCP$b482876
994 $aZ0$bP4A
948 $hNO HOLDINGS IN P4A - 128 OTHER HOLDINGS