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

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

by Andy Liu

Paperback(1st ed. 2018)

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Product Details

ISBN-13: 9783319568102
Publisher: Springer International Publishing
Publication date: 09/08/2017
Series: Springer Texts in Education
Edition description: 1st ed. 2018
Pages: 220
Product dimensions: 6.10(w) x 9.25(h) x (d)

About the Author

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.

Table of Contents

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.

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