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999 _c13100
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008 850712t19861986enka b 001 0 eng
020 _a0521256542
020 _a9780521256544
020 _a0521276357
_q(pbk.)
020 _a9780521276351
_q(pbk.)
040 _aDLC
_beng
_cDLC
_dUKM
_dMUQ
_dBAKER
_dBTCTA
_dYDXCP
_dCPE
_dOCLCQ
_dZWZ
_dOCLCQ
_dBDX
_dGBVCP
_dDEBSZ
_dOCLCF
_dOCLCO
_dOCLCQ
_dVLB
_dUtOrBLW
050 0 0 _aQA445
_b.R93 1986
082 0 0 _a327.12
_219
100 1 _aRyan, Patrick J
245 1 0 _aEuclidean and non-Euclidean geometry :
_ban analytical approach /
_cPatrick J. Ryan
264 1 _aCambridge [Cambridgeshire] ;
_aNew York :
_bCambridge University Press,
_c[1986]
264 4 _c℗♭1986
300 _axvii, 215 pages :
_billustrations ;
_c24 cm
336 _atext
_btxt
_2rdacontent
520 _aThis book gives a rigorous treatment of the fundamentals of plane geometry: Euclidean, spherical, elliptical and hyperbolic. The primary purpose is to acquaint the reader with the classical results of plane Euclidean and nonEuclidean geometry, congruence theorems, concurrence theorems, classification of isometries, angle addition and trigonometrical formulae. However, the book not only provides students with facts about and an understanding of the structure of the classical geometries, but also with an arsenal of computational techniques for geometrical investigations. The aim is to link classical and modern geometry to prepare students for further study and research in group theory, Lie groups, differential geometry, topology, and mathematical physics. The book is intended primarily for undergraduate mathematics students who have acquired the ability to formulate mathematical propositions precisely and to construct and understand mathematical arguments. Some familiarity with linear algebra and basic mathematical functions is assumed, though all the necessary background material is included in the appendices
650 0 _aGeometry, Plane
650 0 _aGeometry, Non-Euclidean
650 4 _aPLAN PROJECTIF
650 4 _aPLAN EUCLIDIEN
650 4 _aGEOMETRIE EUCLIDIENNE
942 _2ddc
_cBK