000 02889nam a22004815i 4500
001 978-3-642-29163-0
003 DE-He213
005 20140220083315.0
007 cr nn 008mamaa
008 120410s2012 gw | s |||| 0|eng d
020 _a9783642291630
_9978-3-642-29163-0
024 7 _a10.1007/978-3-642-29163-0
_2doi
050 4 _aQA440-699
072 7 _aPBM
_2bicssc
072 7 _aMAT012000
_2bisacsh
082 0 4 _a516
_223
100 1 _aOstermann, Alexander.
_eauthor.
245 1 0 _aGeometry by Its History
_h[electronic resource] /
_cby Alexander Ostermann, Gerhard Wanner.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c2012.
300 _aXII, 437p. 452 illus., 61 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aUndergraduate Texts in Mathematics,
_x0172-6056
505 0 _aPreface -- Part I: Classical Geometry -- Thales and Pythagoras -- The Elements of Euclid -- Conic Sections -- Further Results on Euclidean Geometry -- Trigonometry -- Part II: Analytic Geometry -- Descartes' Geometry -- Cartesian Coordinates -- To be Constructible, or not to be -- Spatial Geometry and Vector Algebra -- Matrices and Linear Mappings -- Projective Geometry -- Solutions to Exercises --  References -- Figure Source and Copyright -- Index.
520 _aIn this textbook the authors present first-year geometry roughly in the order in which it was discovered. The first five chapters show how the ancient Greeks established geometry, together with its numerous practical applications, while more recent findings on Euclidian geometry are discussed as well. The following three chapters explain the revolution in  geometry due to the progress made in the field of algebra by Descartes, Euler and Gauss. Spatial geometry, vector algebra and matrices are treated in chapters 9 and 10. The last chapter offers an introduction to projective geometry, which emerged in the 19th century. Complemented by numerous examples, exercises, figures and pictures, the book offers both motivation and insightful explanations, and provides stimulating and enjoyable reading for students and teachers alike.
650 0 _aMathematics.
650 0 _aGeometry, algebraic.
650 0 _aGeometry.
650 1 4 _aMathematics.
650 2 4 _aGeometry.
650 2 4 _aAlgebraic Geometry.
650 2 4 _aHistory of Mathematical Sciences.
700 1 _aWanner, Gerhard.
_eauthor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783642291623
830 0 _aUndergraduate Texts in Mathematics,
_x0172-6056
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-642-29163-0
912 _aZDB-2-SMA
999 _c102977
_d102977