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Titlebook: An Excursion through Elementary Mathematics, Volume II; Euclidean Geometry Antonio Caminha Muniz Neto Textbook 2018 Springer International

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发表于 2025-3-21 19:48:11 | 显示全部楼层 |阅读模式
期刊全称An Excursion through Elementary Mathematics, Volume II
期刊简称Euclidean Geometry
影响因子2023Antonio Caminha Muniz Neto
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发行地址Combines an in-depth overview of the theory with problems presented at several Mathematical Olympiads around the world.Offers a comprehensive course on problem-solving techniques.Presents a coherent d
学科分类Problem Books in Mathematics
图书封面Titlebook: An Excursion through Elementary Mathematics, Volume II; Euclidean Geometry Antonio Caminha Muniz Neto Textbook 2018 Springer International
影响因子This book provides a comprehensive, in-depth overview of elementary mathematics as explored in Mathematical Olympiads around the world. It expands on topics usually encountered in high school and could even be used as preparation for a first-semester undergraduate course. This second volume covers Plane Geometry, Trigonometry, Space Geometry, Vectors in the Plane, Solids and much more..As part of a collection, the book differs from other publications in this field by not being a mere selection of questions or a set of tips and tricks that applies to specific problems. It starts from the most basic theoretical principles, without being either too general or too axiomatic. Examples and problems are discussed only if they are helpful as applications of the theory. Propositions are proved in detail and subsequently applied to Olympic problems or to other problems at the Olympic level..The book also explores some of the hardest problemspresented at National and International Mathematics Olympiads, as well as many essential theorems related to the content. An extensive Appendix offering hints on or full solutions for all difficult problems rounds out the book..
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An Excursion through Elementary Mathematics, Volume II978-3-319-77974-4Series ISSN 0941-3502 Series E-ISSN 2197-8506
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https://doi.org/10.1007/978-3-531-94216-2 soon be made precise. We also discuss here the important . of Euclid (known as the axiom of parallels), as well as several interesting and important consequences of it, most notably the triangle inequality. Finally, in the last section of the chapter, several special types of quadrilaterals will make their first appearance.
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Menschengerechte Arbeitsgestaltung the exposition has been built in the previous chapters—, and to the trigonometric method, which will be presented in the next chapter. As a result of such an approach, we will be able to develop certain aspects of the theory which have been postponed until here, the most notable of them being a first acquaintance with ..
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Lohnpolitik in einem Veränderten Umfeldaim at developing a set of computational tools that allow us to successfully approach metric problems for which the methods developed so far are useless. We shall refer to the systematic use of such tools in geometric problems as the ..
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Zur psychischen Struktur und Psychodynamikhe subsequent ones (i.e., . Euclidean Geometry) lies in the fact that we now have one more . to play with. In other words, instead of working in a single (.) plane, we shall now have the entire (.) space at our disposal.
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