000 03269nam a22004215i 4500
001 978-3-319-00705-2
003 DE-He213
005 20140220082839.0
007 cr nn 008mamaa
008 130806s2013 gw | s |||| 0|eng d
020 _a9783319007052
_9978-3-319-00705-2
024 7 _a10.1007/978-3-319-00705-2
_2doi
050 4 _aQA440-699
072 7 _aPBM
_2bicssc
072 7 _aMAT012000
_2bisacsh
082 0 4 _a516
_223
100 1 _aGrigorieva, Ellina.
_eauthor.
245 1 0 _aMethods of Solving Complex Geometry Problems
_h[electronic resource] /
_cby Ellina Grigorieva.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Birkhäuser,
_c2013.
300 _aXVI, 234 p. 201 illus., 191 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
505 0 _a1 Problems Involving Triangles -- 2 Quadrilaterals and other Polygons -- 3 Problems Involving Circles -- 4 Problems on Construction -- Appendix A Ratios and Proportion -- Appendix B My 9th Grade Notebook Page -- Appendix C My Pictures -- References -- Index.
520 _aThis book is a unique collection of challenging geometry problems and detailed solutions that will build students’ confidence in mathematics. By proposing several methods to approach each problem and emphasizing geometry’s connections with different fields of mathematics, Methods of Solving Complex Geometry Problems serves as a bridge to more advanced problem solving.  Written by an accomplished female mathematician who struggled with geometry as a child, it does not intimidate, but instead fosters the reader’s ability to solve math problems through the direct application of theorems.   Containing over 160 complex problems with hints and detailed solutions, Methods of Solving Complex Geometry Problems can be used as a self-study guide for mathematics competitions and for improving problem-solving skills in courses on plane geometry or the history of mathematics. It contains important and sometimes overlooked topics on triangles, quadrilaterals, and circles such as the Menelaus-Ceva theorem, Simson’s line, Heron’s formula, and the theorems of the three altitudes and medians. It can also be used by professors as a resource to stimulate the abstract thinking required to transcend the tedious and routine, bringing forth the original thought of which their students are capable.   Methods of Solving Complex Geometry Problems will interest high school and college students needing to prepare for exams and competitions, as well as anyone who enjoys an intellectual challenge and has a special love of geometry. It will also appeal to instructors of geometry, history of mathematics, and math education courses.
650 0 _aMathematics.
650 0 _aGeometry.
650 1 4 _aMathematics.
650 2 4 _aGeometry.
650 2 4 _aHistory of Mathematical Sciences.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783319007045
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-319-00705-2
912 _aZDB-2-SMA
999 _c96467
_d96467