How to Free Your Inner Mathematician

Name: How to Free Your Inner Mathematician | Notes on Mathematics and Life
Brand: OUP eBook
Price: 62.99 EUR
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Notes on Mathematics and Life

Susan D'Agostino(Autor*in)

OUP eBook (Verlag)

1. Auflage

Erschienen am 26. März 2020

352 Seiten

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978-0-19-258173-0 (ISBN)

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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 strip
28: 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

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