S.M.A.R.T. Circle Projects

Häftad, Engelska, 2017

699 kr

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This book describes projects in a Mathematical “Circle,” i.e., an organization that discovers and nurtures young mathematical talents through meaningful extra-curricular activities. Volume I describes how to run a Circle, and Volume III explains what actually takes place in the Circle.

Produktinformation

Utgivningsdatum2017-09-18
Mått155 x 235 x 13 mm
Vikt365 g
FormatHäftad
SpråkEngelska
SerieSpringer Texts in Education
Antal sidor220
FörlagSpringer International Publishing AG
ISBN9783319568102

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Andy Liu is an established author with eleven books to his credit. He is Professor Emeritus of the Department of Mathematical and Statistical Sciences at the University of Alberta, Canada. He has won numerous international awards in mathematics teaching and outreach, as have several of his former students. He was the leader of the Canadian team to the International Mathematical Olympiad in 2000 (South Korea) and in 2003 (Japan), acts as Vice President of the Tournament of Towns and ran the S.M.A.R.T. Circle for over 30 years.

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.