行間で遊んで発想が湧く数学ノート<br>Nonstandard Notebook : Mathematically Ruled Pages for Unruly Thoughts

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行間で遊んで発想が湧く数学ノート
Nonstandard Notebook : Mathematically Ruled Pages for Unruly Thoughts

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  • 製本 Paperback:紙装版/ペーパーバック版/ページ数 208 p.
  • 言語 ENG
  • 商品コード 9780226830902
  • DDC分類 510

Full Description

A revolutionary notebook that challenges us to play outside (and with) the lines.
 
A standard notebook displays page after page of horizontal lines. But what if we break the pattern? What if the ruled pages grew unruly? In this Nonstandard Notebook, lines twist, fragment, curve, and crisscross in beautiful formations. Each sheet is a distinctive work of imagination, asking us to draw, doodle, and journal in the same spirit.
 
Page after page, as we journey from lines to parabolas to waves, deep questions arise—about form, art, and mathematics. How do we harness the infinite? Why do patterns permeate nature? What are the limitations and possibilities of human vision? Nonstandard Notebook explores these questions and more through its provocative and inspirational images, each displayed with the mathematics that generated it. We see how straight lines can form fractal crenellations, how circles can disrupt and unify, and how waves and scaling can form complex landscapes (or even famous faces). Created by mathematicians, educators, and math popularizers Tim Chartier and Amy Langville, and with a foreword from Ben Orlin (bestselling author of Math with Bad Drawings), Nonstandard Notebook shows that rules—both the rules of mathematics and the rules of a notebook—do not mark the end of creativity, but the beginning.

Contents

Foreword
Introduction
1 Lines: the wisps of structure
2 Parabolas: residues of motion
3 Polygons: the molecules of shape
4 Circles: the ripples of distance
5 Waves: the rhythms of nature
6 Limits: tales of striving
7 Rotation: dizzying symmetry
8 Scaling: the rhyme of large and small
9 Polar: the world of the compass rose
10 Pathways: parametric footprints
11 Randomness: serendipity through chaos
12 Third Dimension: the paradox of paper
Closing Lines

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