000			02095cam a2200253 a 4500
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003			VRT
005			20250102223832.0
008			081109s2005 enka |b 001 0 eng
020			_a1852339349 (acidfree paper)
039		9	_a201402040058 _bVLOAD _c201007211259 _dmalmash _c200811111225 _dvenkatrajand _c200811091015 _dNoora _y200811091014 _zNoora
050	0	0	_aQA685 _b.A54 2005
100	1		_aAnderson, James W., _d1964- _930929
245	1	0	_aHyperbolic Geometry / _cJames W. Anderson.
250			_a2nd ed.
260			_a[London ; _aNew York] : _bSpringer, _cc2005.
300			_axi, 276 p. : _bill. ; _c24 cm.
440		0	_aSpringer undergraduate mathematics series, _910310
504			_aIncludes bibliographical references (p. 265-267) and index.
505			_aPreamble to the Second Edition Preamble to the First Edition The Basic Spaces The General Mobius Group Length and Distance in H Planar Models of the Hyperbolic Plane Convexity, Area and Trigonometry Non-planar models Solutions to Exercises References; List of Notation Index
520			_aThe geometry of the hyperbolic plane has been an active and fascinating field of mathematical inquiry for most of the past two centuries. This book provides a self-contained introduction to the subject, providing the reader with a firm grasp of the concepts and techniques of this beautiful area of mathematics. Topics covered include the upper half-space model of the hyperbolic plane, Mobius transformations, the general Mobius group and the subgroup preserving path length in the upper half-space model, arc-length and distance, the Poincare disc model, convex subsets of the hyperbolic plane, and the Gauss-Bonnet formula for the area of a hyperbolic polygon and its applications. This updated second edition also features: an expanded discussion of planar models of the hyperbolic plane arising from complex analysis; the hyperboloid model of the hyperbolic plane; a brief discussion of generalizations to higher dimensions; and many new exercises.
650		0	_aGeometry, Hyperbolic. _910185
942			_2lcc _n0 _cBK
999			_c13293 _d13293