Currie, Mel

Mathematics : rhyme and reason - USA: AMS, [c2018] - 178 p

Chapter 1. The Riddle
Chapter 2. Primes
Chapter 3. Some Geometry
Chapter 4. Mysterious Pattern
Chapter 5. Some Things Add Up. Some Don’t.
Chapter 6. A Tangential Remark
Chapter 7. Plus or Minus
Chapter 8. Making the Optimal Choice
Chapter 9. Impossibilities
Chapter 10. Magnitudes of Infinity
Chapter 11. The Inevitable (Sperner’s Lemma—The Brouwer Fixed-Point Theorem)
Chapter 12. Consider the Sequence (Fibonacci and Golden Ratio)
Chapter 13. What Are the Chances?
Chapter 14. The Euler Line
Chapter 15. The Dissertation
Chapter 16. The Next Prime Number Is? (Gandhi’s Formula)
Chapter 17. Bulgarian Solitaire
Chapter 18. Which is Bigger? (𝑎^ versus 𝑏^)
Chapter 19. Fascinating
Chapter 20. From the Sublime to the Ridiculous
Chapter 21. A Few More Words


This book introduces budding mathematicians of all ages to mathematical ways of thinking through a series of chapters that mix episodes from the author's life with explanations of intriguing mathematical concepts and the stories of the mathematicians who discovered them. The chapters can be read independently, and most require only a background in basic high school algebra or geometry to appreciate the topics covered.

9781470447960

QA11.2