<電子ブック>
An Excursion through Elementary Mathematics, Volume II : Euclidean Geometry / by Antonio Caminha Muniz Neto
(Problem Books in Mathematics. ISSN:21978506)
版 | 1st ed. 2018. |
---|---|
出版者 | (Cham : Springer International Publishing : Imprint: Springer) |
出版年 | 2018 |
本文言語 | 英語 |
大きさ | XI, 550 p. 411 illus : online resource |
著者標目 | *Caminha Muniz Neto, Antonio author SpringerLink (Online service) |
件 名 | LCSH:Convex geometry LCSH:Discrete geometry LCSH:Polytopes LCSH:Projective geometry FREE:Convex and Discrete Geometry FREE:Polytopes FREE:Projective Geometry |
一般注記 | Chapter 01- Basic Geometric Concepts -- Chapter 02- Congruence of Triangles -- Chapter 03- Loci in the Plane -- Chapter 04- Proportionality and Similarity -- Chapter 05- Area of Plane Figures -- Chapter 06- The Cartesian Method -- Chapter 07- Trigonometry and Geometry -- Chapter 08- Vectors in the Plane -- Chapter 09- A First Glimpse on Projective Techniques -- Chapter 10- Basic Concepts in Solid Geometry -- Chapter 11- Some Simple Solids -- Chapter 12- Convex Polyhedra -- Chapter 13- Volume of Solids -- Chapter 14- Hints and Solutions 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 HTTP:URL=https://doi.org/10.1007/978-3-319-77974-4 |
目次/あらすじ
所蔵情報を非表示
電子ブック | 配架場所 | 資料種別 | 巻 次 | 請求記号 | 状 態 | 予約 | コメント | ISBN | 刷 年 | 利用注記 | 指定図書 | 登録番号 |
---|---|---|---|---|---|---|---|---|---|---|---|---|
電子ブック | オンライン | 電子ブック |
|
Springer eBooks | 9783319779744 |
|
電子リソース |
|
EB00228813 |
書誌詳細を非表示
データ種別 | 電子ブック |
---|---|
分 類 | LCC:QA639.5-640.7 LCC:QA640.7-640.77 DC23:516 |
書誌ID | 4000116218 |
ISBN | 9783319779744 |
類似資料
この資料の利用統計
このページへのアクセス回数:2回
※2017年9月4日以降