000			a
999			_c29890 _d29890
008			200212b xxu||||| |||| 00| 0 eng d
020			_a9780387255309
082			_a516 _bSTI
100			_aStillwell, John.
245			_aFour pillars of geometry
260			_bSpringer _c2005 _aNew York
300			_axi, 227p. _bill. _c25cm
365			_b39.95 _cEUR _d82.00
504			_aIncludes bibliographical references and index
520			_a"This textbook demonstrates that geometry can be developed in four fundamentally different ways, and that all should be used if the subject is to be shown in all its splendor. Euclid style construction and axiomatics seem the best way to start, but linear algebra smooths the later stages by replacing some tortuous arguments by simple calculations. And how can one avoid projective geometry? It not only explains why objects look the way they do; it also explains why geometry is entangled with algebra. Finally, one needs to know that there is not one geometry, but many, and transformation groups are the best way to distinguish between them. In this book, two chapters are devoted to each approach, the first being concrete and introductory, while the second is more abstract. Geometry, of all subjects, should be about taking different viewpoints, and geometry is unique among mathematical disciplines in its ability to look different from different angles. Some students prefer to visualize, while others prefer to reason or to calculate. Geometry has something for everyone, and students will find themselves building on their strengths at times, and working to overcome weaknesses at other times. This book will be suitable for a second course in geometry and contains more than 100 figures and a large selection of exercises in each chapter."
650			_aMatrix theory
650			_aLinear and Multilinear Algebras
650			_aCoodinate geometry
650			_aVector
650			_aNon-euclidean geometry
942			_2ddc _cBK