LEADER 03998nam 22006615 450 001 9910438027903321 005 20200705154348.0 010 $a3-319-00705-X 024 7 $a10.1007/978-3-319-00705-2 035 $a(CKB)3710000000015806 035 $a(EBL)1398259 035 $a(SSID)ssj0000988213 035 $a(PQKBManifestationID)11539227 035 $a(PQKBTitleCode)TC0000988213 035 $a(PQKBWorkID)10952018 035 $a(PQKB)11000384 035 $a(DE-He213)978-3-319-00705-2 035 $a(MiAaPQ)EBC6315759 035 $a(MiAaPQ)EBC1398259 035 $a(Au-PeEL)EBL1398259 035 $a(CaPaEBR)ebr10968932 035 $a(OCoLC)861268065 035 $a(PPN)172422728 035 $a(EXLCZ)993710000000015806 100 $a20130806d2013 u| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aMethods of Solving Complex Geometry Problems /$fby Ellina Grigorieva 205 $a1st ed. 2013. 210 1$aCham :$cSpringer International Publishing :$cImprint: Birkhäuser,$d2013. 215 $a1 online resource (245 p.) 300 $aDescription based upon print version of record. 311 $a3-319-00704-1 320 $aIncludes bibliographical references and index. 327 $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.     . 330 $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. 606 $aGeometry 606 $aMathematics 606 $aHistory 606 $aGeometry$3https://scigraph.springernature.com/ontologies/product-market-codes/M21006 606 $aHistory of Mathematical Sciences$3https://scigraph.springernature.com/ontologies/product-market-codes/M23009 615 0$aGeometry. 615 0$aMathematics. 615 0$aHistory. 615 14$aGeometry. 615 24$aHistory of Mathematical Sciences. 676 $a516 700 $aGrigorieva$b Ellina$4aut$4http://id.loc.gov/vocabulary/relators/aut$0755612 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910438027903321 996 $aMethods of Solving Complex Geometry Problems$92522995 997 $aUNINA