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 |