000 04091nam a22004697a 4500
001 sulb-eb0022756
003 BD-SySUS
005 20160413122316.0
007 cr nn 008mamaa
008 130501s2013 xxu| s |||| 0|eng d
020 _a9781461472735
_9978-1-4614-7273-5
024 7 _a10.1007/978-1-4614-7273-5
_2doi
050 4 _aQA440-699
072 7 _aPBM
_2bicssc
072 7 _aMAT012000
_2bisacsh
082 0 4 _a516
_223
100 1 _aLouridas, Sotirios E.
_eauthor.
245 1 0 _aProblem-Solving and Selected Topics in Euclidean Geometry
_h[electronic resource] :
_bIn the Spirit of the Mathematical Olympiads /
_cby Sotirios E. Louridas, Michael Th. Rassias.
264 1 _aNew York, NY :
_bSpringer New York :
_bImprint: Springer,
_c2013.
300 _aX, 235 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
505 0 _aForeword -- Preface -- Basic Concepts and Theorems of Euclidean Geometry -- Methods of Analysis, Synthesis, Construction and Proof.-Geometrical Constructions -- Geometrical Loci -- Problems of Olympiad Caliber -- Solutions of the Problems -- Bibliography -- Index.
520 _aProblem-Solving and Selected Topics in Euclidean Geometry: In the Spirit of the Mathematical Olympiads contains theorems of particular value for the solution of Olympiad-caliber problems in Euclidean Geometry. Selected geometric problems, which have been given in International Mathematical Olympiads (IMO) or proposed in short lists in IMO, are discussed. Additionally, a number of new problems proposed by leading mathematicians in the subject with their step-by-step solutions are presented. The book teaches mathematical thinking through Geometry and provides inspiration for both students and teachers. From the Foreword: “…Young people need such texts, grounded in our shared intellectual history and challenging them to excel and create a continuity with the past. Geometry has seemed destined to give way in our modern computerized world to algebra. As with Michael Th. Rassias’ previous homonymous book on number theory, it is a pleasure to see the mental discipline of the ancient Greeks so well represented to a youthful audience.” – Michael H. Freedman (Fields Medal in Mathematics, 1986) Sotirios E. Louridas has studied Mathematics at the University of Patras, Greece. He has been an active member of the Greek Mathematical Society for several years both as a problem poser and a coach of the Greek Mathematical Olympiad team. He has authored in Greek, a number of books in Mathematics.  Michael Th. Rassias has received several awards in mathematical problem-solving competitions including two gold medals at the Pan-Hellenic Mathematical Olympiads of 2002 and 2003 (Athens, Greece), a silver medal at the Balkan Mathematical Olympiad of 2002 (Targu Mures, Romania) and a silver medal at the 44th International Mathematical Olympiad of 2003 (Tokyo, Japan). He holds a Diploma from the School of Electrical and Computer Engineering of the National Technical University of Athens and a Master of Advanced Study in Mathematics from the University of Cambridge. He is currently a PhD student in Mathematics at ETH-Zürich. At the age of 22, he authored the book Problem-Solving and Selected Topics in Number Theory: In the Spirit of the Mathematical Olympiads – Foreword by Preda Mihăilescu (Springer, 2011), ISBN: 978-1-4419-0494-2.
650 0 _aMathematics.
650 0 _aAlgebraic geometry.
650 0 _aGeometry.
650 1 4 _aMathematics.
650 2 4 _aGeometry.
650 2 4 _aAlgebraic Geometry.
650 2 4 _aMathematics, general.
700 1 _aRassias, Michael Th.
_eauthor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9781461472728
856 4 0 _uhttp://dx.doi.org/10.1007/978-1-4614-7273-5
912 _aZDB-2-SMA
942 _2Dewey Decimal Classification
_ceBooks
999 _c44848
_d44848