图书简介

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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