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Mathematics: Rhyme and Reason [Pehme köide]

  • Formaat: Paperback / softback, 178 pages, kõrgus x laius: 254x178 mm, kaal: 335 g
  • Sari: MSRI Mathematical Circles Library
  • Ilmumisaeg: 01-Oct-2018
  • Kirjastus: American Mathematical Society
  • ISBN-10: 1470447967
  • ISBN-13: 9781470447960
Teised raamatud teemal:
  • Formaat: Paperback / softback, 178 pages, kõrgus x laius: 254x178 mm, kaal: 335 g
  • Sari: MSRI Mathematical Circles Library
  • Ilmumisaeg: 01-Oct-2018
  • Kirjastus: American Mathematical Society
  • ISBN-10: 1470447967
  • ISBN-13: 9781470447960
Teised raamatud teemal:
Mathematics: Rhyme and Reason is an exploration of the aesthetic value of mathematics and the culture of the mathematics community.

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.

Part personal memoir, part appreciation of the poetry and humanity inherent in mathematics, this entertaining collection of stories, theorems, and reflections will be of interest to anyone curious about mathematics and the human beings who practice it.

In the interest of fostering a greater awareness and appreciation of mathematics and its connections to other disciplines and everyday life, MSRI and the AMS are publishing books in the Mathematical Circles Library series as a service to young people, their parents and teachers, and the mathematics profession.
Preface ix
Chapter 1 The Riddle
1(2)
Chapter 2 Primes
3(6)
Chapter 3 Some Geometry
9(8)
Chapter 4 Mysterious Pattern
17(4)
Chapter 5 Some Things Add Up. Some Don't
21(8)
Chapter 6 A Tangential Remark
29(6)
Chapter 7 Plus or Minus
35(6)
Chapter 8 Making the Optimal Choice
41(6)
Chapter 9 Impossibilities
47(10)
Chapter 10 Magnitudes of Infinity
57(10)
Chapter 11 The Inevitable (Sperner's Lemma---The Brouwer Fixed-Point Theorem)
67(14)
Chapter 12 Consider the Sequence (Fibonacci and Golden Ratio)
81(10)
Chapter 13 What Are the Chances?
91(8)
Chapter 14 The Euler Line
99(10)
Chapter 15 The Dissertation
109(4)
Chapter 16 The Next Prime Number Is? (Gandhi's Formula)
113(6)
Chapter 17 Bulgarian Solitaire
119(12)
Chapter 18 Which is Bigger? (ab versus ba)
131(4)
Chapter 19 Fascinating
135(6)
Chapter 20 From the Sublime to the Ridiculous
141(6)
Chapter 21 A Few More Words
147(4)
Photos and Pictures 151(10)
Appendix A Notation, etc. 161(6)
Appendix B Mysterious 167(4)
Appendix C Impossibilities 171(2)
Appendix D Magnitudes 173(2)
Appendix E Fascinating 175