| 000 | 03451nam a22004695i 4500 | ||
|---|---|---|---|
| 001 | 978-3-031-48906-8 | ||
| 003 | DE-He213 | ||
| 005 | 20251030111422.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 240210s2024 sz | s |||| 0|eng d | ||
| 020 |
_a9783031489068 _9978-3-031-48906-8 |
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| 024 | 7 |
_a10.1007/978-3-031-48906-8 _2doi |
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| 050 | 4 | _aQA440-699 | |
| 072 | 7 |
_aPBM _2bicssc |
|
| 072 | 7 |
_aMAT012000 _2bisacsh |
|
| 072 | 7 |
_aPBM _2thema |
|
| 100 | 1 |
_aPamfilos, Paris. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut _970616 |
|
| 245 | 1 | 0 |
_aLectures on Euclidean Geometry - Volume 1 _h[electronic resource] : _bEuclidean Geometry of the Plane / _cby Paris Pamfilos. |
| 250 | _a1st ed. 2024. | ||
| 264 | 1 |
_aCham : _bSpringer Nature Switzerland : _bImprint: Springer, _c2024. |
|
| 300 |
_aXVII, 595 p. _bonline resource. |
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| 336 |
_atext _btxt _2rdacontent |
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| 337 |
_acomputer _bc _2rdamedia |
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| 338 |
_aonline resource _bcr _2rdacarrier |
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| 347 |
_atext file _bPDF _2rda |
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| 505 | 0 | _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. | |
| 520 | _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. | ||
| 650 | 0 |
_aGeometry. _968763 |
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| 650 | 1 | 4 |
_aGeometry. _968763 |
| 710 | 2 | _aSpringerLink (Online service) | |
| 773 | 0 | _tSpringer Nature eBook | |
| 776 | 0 | 8 |
_iPrinted edition: _z9783031489051 |
| 776 | 0 | 8 |
_iPrinted edition: _z9783031489075 |
| 776 | 0 | 8 |
_iPrinted edition: _z9783031489082 |
| 856 | 4 | 0 | _uhttps://doi.org/10.1007/978-3-031-48906-8 |
| 912 | _aZDB-2-SMA | ||
| 912 | _aZDB-2-SXMS | ||
| 999 |
_c57567 _d57567 |
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