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Full Description
Mathematics Galore! Showcases some of the best activities and student outcomes of the St. Mark s Institute of Mathematics and invites you to engage the mathematics yourself! Revel in the delight of deep intellectual play and marvel at the heights to which young scholars can rise. See some great mathematics explained and proved via natural and accessible means. Based on 26 essays ( newsletters ) and eight additional pieces, Mathematics Galore! offers a large sample of mathematical tidbits and treasures, each immediately enticing, and each a gateway to layers of surprising depth and conundrum. Pick and read essays in no particular order and enjoy the mathematical stories that unfold. Be inspired for your courses, your math clubs and your math circles, or simply enjoy for yourself the bounty of research questions and intriguing puzzlers that lie within.
Contents
Introduction; Newsletters and commentaries; 1. Arctangents; 2. Benford's Law; 3. Braids; 4. CLIP Theory; 5. Dots and dashes; 6. Factor trees; 7. Folding fractions and conics; 8. Folding patterns and dragons; 9. Folding and pouring; 10. Fractions; 11. Integer triangles; 12. Lattice polygons; 13. Layered tilings; 14. The middle of a triangle; 15. Partitions; 16. Personalized polynomials; 17. Playing with Pi; 18. Pythagoras's Theorem; 19. On reflection; 20. Repunits and primes; 21. The Stern-Brocot Tree; 22. Tessellations; 23. Theon's ladder and squangular numbers; 24. Tilings and theorems; 25. The Tower of Hanoi; 26. Weird multiplication; Appendices: 1. Numbers that are the sum of two squares; 2. Pick's theorem; 3. The Möbius function; 4. The Borsuk-Ulam theorem; 5. Galilean ratios; 6. A candy-sharing game; 7. Bending Buffon's needle; 8. On separating dots; Indexes: 1. Index of terms; 2. Index of topics; 3. Classic theorems proved.
