# How to free your inner mathematician : notes on mathematics and life

, eBookEnglish, 2020Edition: First edition View all formats and editionsPublisher: Oxford University Press, Oxford, 2020

9780192581747, 9780191879388, 9780192581730, 0192581740, 019187938X, 0192581732

Print version:

1: Mix up your routine, as cicadas with prime number cycles

2: Grow in accessible directions, like Voronoi diagrams

3: Rely on your reasoning abilities, because folded paper may reach the moon

4: Define success for yourself, given Arrow's Impossibility Theorem

5: Reach for the stars, just like Katherine Johnson

6: Find the right match, as with binary numbers and computers

7: Act natural, because of Benford's Law

8: Resist comparison, because of chaos theory

9: Look all around, as Archimedes did in life

10: Walk through the problem, as on the Konigsborg bridges

11: Untangle problems, with knot theory

12: Consider all options, as the shortest path between two points is not always straight

13: Look for beauty, because of Fibonacci numbers

14: Divide and conquer, just like Riemann sums in calculus

15: Embrace change, considering non-Euclidean geometry

16: Pursue an easier approach, considering the Pigeonhole Principle

17: Make an educated guess, like Kepler with his Sphere-packing Conjecture

18: Proceed at your own pace, because of terminal velocity

19: Pay attention to details, as Earth is an oblate spheroid

20: Join the community, with Hilbert's 23 problems

21: Search for like-minded math friends, because of the Twin Prime Conjecture

22: Abandon perfectionism, because of the Hairy Ball Theorem

23: Enjoy the pursuit, as Andrew Wiles did with Fermat's Last Theorem

24: Design your own pattern, because of the Penrose Patterns

25: Keep it simple whenever possible, since

26: Change your perspective, with Viviani's Theorem

27: Explore, on a Mobius strip28: Be contradictory, because of the infinitude of primes

29: Cooperate when possible, because of game theory

30: Consider the less-travelled path, because of the Jordan Curve Theorem

31: Investigate, because of the golden rectangle

32: Be okay with small steps, as the harmonic series grows without bound

33: Work efficiently, like bacteriophages with icosahedral symmetry

34: Find the right balance, as in coding theory

35: Draw a picture, as in proofs without words

36: Incorporate nuance, because of fuzzy logic

37: Be grateful when solutions exist, because of Brouwer's Fixed Point Theorem

38: Update your understanding, with Bayesian statistics

39: Keep an open mind, because imaginary numbers exist

40: Appreciate the process, by taking a random walk

41: Fail more often, just like Albert Einstein did with

42: Get disoriented, on a Klein bottle

43: Go outside your realm of experience, on a hypercube

44: Follow your curiosity, along a space-filling curve

45: Exercise your imagination, with fractional dimensions

46: Proceed with care, because some infinities are larger than others