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S.M.A.R.T. Circle Minicourses / by Andrew Chiang-Fung Liu
(Springer Texts in Education. ISSN:23667680)
| 資料タイプ | 電子ブック |
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| 版 | 1st ed. 2018. |
| 出版情報 | 製作表示:Cham : Springer International Publishing : Imprint: Springer , 2018 |
| 大きさ | XIV, 244 p. 173 illus : online resource |
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| 一般注記 | Preface -- Acknowledgement -- Table of Contents -- Part I. Geometric Topics -- Chapter 1. Area and Dissection -- Section 1. Qualitative and Quantitative Treatments of Area -- Section 2. The Bolyai-Gerwin Theorem and Pythagoras’ Theorem -- Section 3. Dissection Problems -- Chapter 2. Projective Geometry -- Section 1. Synthetic Approach -- Section 2. Metric Approach -- Section 3. Analytic Approach -- Chapter 3. Conic Sections -- Section 1. Loci -- Section 2. The Parabola -- Section 3. Ellipses and Hyperbolas -- Chapter 4. Inversive Geometry -- Section 1. Inversion -- Section 2. Applications to Euclidean Geometry -- Section 3. Mohr-Mascheroni Constructions -- Chapter 5. Convexity -- Section 1. Figures -- Section 2. Convex Figures -- Section 3. Figures of Constant Width -- Part II. Other Topics -- Chapter 6. Balancing Problems -- Section 1. Identifying Fake Coins -- Section 2. Other Problems -- Section 3. Other Balances -- Chapter 7. Graph Theory -- Section 1. Basic Concepts -- Section 2. Trees -- Section 3. Directed Graphs -- Chapter 8. Beanstalks -- Section 1. Red and Blue Beanstalks -- Section 2. Infinite Beanstalks -- Section 3. Beansprouts -- Chapter 9. Inequalities -- Section 1. The Rearrangement Inequality -- Section 2. The Majorization Inequality -- Section 3. Trigonometric Inequalities -- Chapter 10. Polynomial Equations -- Section 1. Complex Numbers -- Section 2. Cubic Equations -- Section 3. Quartic Equations This book describes mini-courses in a Mathematical “Circle,” i.e., an organization that discovers and nurtures young mathematical talents through meaningful extra-curricular activities. This is the third volume in a trilogy describing in particular the S.M.A.R.T. Circle project, which was founded in Edmonton, Canada in 1981. The acronym S.M.A.R.T. stands for Saturday Mathematical Activities, Recreations & Tutorials. This book, Volume III, consists of mini-courses and explains what actually takes place in the Circle. Volume I describes how to run a Circle, and Volume II, consisting of student projects, addresses the purpose of the Circle. All three volumes provide a wealth of resources (mathematical problems, quizzes and games, together with their solutions). The books will be of interest to self-motivated students who want to conduct independent research, teachers who work with these students, and teachers who are currently running or planning to run Mathematical Circles of their own HTTP:URL=https://doi.org/10.1007/978-3-319-71743-2 |
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| 著者標目 | *Liu, Andrew Chiang-Fung author SpringerLink (Online service) |
| 件 名 | LCSH:Mathematics -- Study and teaching
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FREE:Mathematics Education |
| 分 類 | LCC:QA10.92-20 DC23:510.71 |
| 書誌ID | EB16356884 |
| ISBN | 9783319717432 |