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...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριος συγγραφέας: Liu, Andy (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2018.
Έκδοση:1st ed. 2018.
Σειρά:Springer Texts in Education,
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
Πίνακας περιεχομένων:
  • 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.