S.M.A.R.T. Circle Projects
This book describes projects in a Mathematical "Circle," i.e., an organization that discovers and nurtures young mathematical talents through meaningful extra-curricular activities. This is the second volume in a trilogy describing in particular the S.M.A.R.T. Circle project, which was fou...
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| Médium: | Elektronický zdroj E-kniha |
| Jazyk: | angličtina |
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Cham :
Springer International Publishing,
2018.
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| Vydání: | 1st ed. 2018. |
| Edice: | Springer Texts in Education,
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| Témata: | |
| ISBN: | 9783319568119 |
| ISSN: | 2366-7672 |
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Obsah:
- Preface
- Table of Contents
- Chapter 1. Error-Correcting Codes
- Section 1. From the Alt Code to the Hamming Code
- Section 2. Two Applications of the Hamming Code
- Section 3. Reed-Muller Code
- Chapter 2. Regular and Semi-regular Polyhedra
- Section 1. Regular Polyhedra
- Section 2. A Polyhedral Metamorphosis
- Section 3. Semi-Regular Polyhedra
- Chapter 3. Polyform Compatibility
- Section 1. Tetris Number Theory
- Section 2. Tetris Algebra
- Section 3. Other Compatibility Problems
- Chapter 4. Mathematical Chess Problems
- Section 1. Adventures of an Apprentice Rook
- Section 2. Martin Gardner's Royal Problem
- Section 3. Knight Tours
- Chapter 5. Mathematical Induction
- Section 1. The Towers of Hanoi
- Section 2. A Problem on Greatest Common Divisors
- Section 3. Congo Bongo
- Chapter 6. Number Triangles
- Section 1. Pascal's Triangle
- Section 2. Rascal's Triangle
- Section 3. Triangles of Asbolute Difference
- Chapter 7. Summation Formulae
- Section 1. Sums of Powers of Integers
- Section 2. Zig-Zag
- Section 3. Two Great Escapes
- Chapter 8. Finite Projective Geometries
- Section 1. Lions and Ponies
- Section 2. Star Wars
- Section 3. Convenient Buildings
- Chapter 9. Sharing Loots
- Section 1. Sharing Jewels
- Section 2. Sharing Gold and Silver
- Section 3. Sharing Rum
- Chapter 10. Puzzling Adventures
- Section 1. Circuits Checking Circuits
- Section 2. The Coach's Dilemma
- Section 3. The Campers' Problem
- Appendix Additional Problems.