Andy Liu

S.M.A.R.T. Circle Projects (eBook, PDF)

• Format: PDF

Produktbeschreibung

Provides first-hand information on the history of the first Mathematical "Circles-Project" in North America

Contains many mathematical problems, puzzles and games as well as their solutions

Includes material based on junior high school student work, which was originally published in scientific and education journals

The author has received numerous teaching awards

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Produktdetails

• Verlag: Springer International Publishing
• Seitenzahl: 220
• Erscheinungstermin: 7. September 2017
• Englisch
• ISBN-13: 9783319568119
• Artikelnr.: 52939163

Autorenporträt

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.

Inhaltsangabe

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.