the math of when things do and don't add up Cheng, Eugenia 1976- creator text nyu 2025 monographic eng

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386 pages : illustrations, charts ; 25 cm "Why the familiar equal sign isn't just a marker of sameness but a gateway into math's-and humanity's-most profound questions. Math is famous for its equations: 1 + 1 = 2, a2 + b2 = c2, or y = mx + b. Much of the time it can seem like that's all mathematics is: following steps to show that what's on one side of an equation is the same as what's on the other. In Unequal, Eugenia Cheng shows that's just part of the story, and the boring part to boot. Mathematics isn't about showing how numbers and symbols are the same. It isn't even just about numbers and symbols at all, but a world of shapes, symmetries, logical ideas, and more. And in that world, the boundary between things being equal and unequal is a gray area, or perhaps a rainbow of beautiful, vibrant, subtly nuanced color. As Unequal shows, once you go over that rainbow, almost everything can be considered equal and unequal at the same time, whether it's shapes (seen from the right perspective, a circle is the same as an ellipse), words (synonyms), or people-even numbers! It all depends on what features we care about. And it's up to us what we do about it. That's because mathematics isn't a series of rules, facts, or answers. It's an invitation to a more powerful way of thinking"-- When are things the same? -- Equations -- The stories hiding behind numbers -- Equality between functions -- Why the Earth could be a bagel -- Interchangeable lids and mathematical glue -- Logic, emotions, insight -- Sameness in category theory -- Sameness in branches of math -- From Sheffield to Buffalo -- More dimensions, more forgiveness. Eugenia Cheng. "Originally published in May 2025 by Profile Books in the United Kingdom" -- Title page verso Filosofía de las matemáticas Aritmética Notación matemática Matemáticas Aspectos sociales QA 8.4 C518u 2025 9781541606555 (hardcover) 1541606558 (hardcover) 2025931930 DLC 250206 20260501105944.0 24021762 eng