03116nam a22003855i 4500001001800000003000900018005001700027007001500044008004100059020001800100024003500118050001400153072001600167072002300183072001500206100007800221245012600299250001800425264006900443300003500512336002600547337002600573338003600599347002400635505019300659520163600852650001402488650001402502710003402516773002602550776003602576776003602612776003602648856004602684978-3-031-48906-8DE-He21320251030111422.0cr nn 008mamaa240210s2024    sz |    s    |||| 0|eng d  a97830314890687 a10.1007/978-3-031-48906-82doi 4aQA440-699 7aPBM2bicssc 7aMAT0120002bisacsh 7aPBM2thema1 aPamfilos, Paris.eauthor.4aut4http://id.loc.gov/vocabulary/relators/aut10aLectures on Euclidean Geometry - Volume 1h[electronic resource] :bEuclidean Geometry of the Plane /cby Paris Pamfilos.  a1st ed. 2024. 1aCham :bSpringer Nature Switzerland :bImprint: Springer,c2024.  aXVII, 595 p.bonline resource.  atextbtxt2rdacontent  acomputerbc2rdamedia  aonline resourcebcr2rdacarrier  atext filebPDF2rda0 aPart I Euclidean Geometry of the plane -- 1 The basic notions -- 2 Circle and polygons -- 3 Areas, Thales, Pythagoras, Pappus -- 4 The power of the circle -- 5 From the classical theorems.  aThis is a comprehensive two-volumes text on plane and space geometry, transformations and conics, using a synthetic approach. The first volume focuses on Euclidean Geometry of the plane, and the second volume on Circle measurement, Transformations, Space geometry, Conics. The book is based on lecture notes from more than 30 courses which have been taught over the last 25 years. Using a synthetic approach, it discusses topics in Euclidean geometry ranging from the elementary (axioms and their first consequences), to the complex (the famous theorems of Pappus, Ptolemy, Euler, Steiner, Fermat, Morley, etc.). Through its coverage of a wealth of general and specialized subjects, it provides a comprehensive account of the theory, with chapters devoted to basic properties of simple planar and spatial shapes, transformations of the plane and space, and conic sections. As a result of repeated exposure of the material to students, it answers many frequently asked questions. Particularattention has been given to the didactic method; the text is accompanied by a plethora of figures (more than 2000) and exercises (more than 1400), most of them with solutions or expanded hints. Each chapter also includes numerous references to alternative approaches and specialized literature. The book is mainly addressed to students in mathematics, physics, engineering, school teachers in these areas, as well as, amateurs and lovers of geometry. Offering a sound and self-sufficient basis for the study of any possible problem in Euclidean geometry, the book can be used to support lectures to the most advanced level, or for self-study. 0aGeometry.14aGeometry.2 aSpringerLink (Online service)0 tSpringer Nature eBook08iPrinted edition:z978303148905108iPrinted edition:z978303148907508iPrinted edition:z978303148908240uhttps://doi.org/10.1007/978-3-031-48906-8