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The Mending of Broken Bones
A Modern Guide to Classical Algebra
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Paul Lockhart
Language:
English
Published/Copyright:
2025
About this book
The Mending of Broken Bones reveals that far from a set of mundane exercises, algebra is the delicate craft of untangling numerical puzzles to uncover the hidden patterns and surprising behaviors of the numbers themselves. As Paul Lockhart shows, you don’t have to be a mathematician to experience the joy and creativity of mathematical discovery.
Reviews
In this masterful exploration of algebra, Paul Lockhart leads us from the puzzle of solving for x to the dramatic climax of Galois theory, with fields, groups, and the unsolvability of the quintic appearing along the way. It’s a celebration of algebra’s mysteries, served up in Lockhart's signature style: fun, precise, and irresistibly satisfying.
-- Steven Strogatz, author of Infinite Powers
-- Steven Strogatz, author of Infinite Powers
Paul Lockhart’s books have inspired a generation of math educators to seek better ways to teach the subject—to focus on its beauty and present it in a way that appeals to our natural curiosity. The Mending of Broken Bones does this on an even grander scale, asking what it means to do mathematics and what we stand to gain from its pursuit. Lockhart’s remarkable skill is his ability to provide a compelling answer to these questions on every page. Along the way, you’ll learn a lot of math, and you'll learn even more about math.
-- Keith Devlin, author of The Millennium Problems
-- Keith Devlin, author of The Millennium Problems
A splendid book. A marvelous introduction to the magic of algebra.
-- Barry Mazur, author of Imagining Numbers
-- Barry Mazur, author of Imagining Numbers
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Publishing information
Pages and Images/Illustrations in book
eBook published on:
May 13, 2025
eBook ISBN:
9780674300460
Pages and Images/Illustrations in book
Main content:
368
eBook ISBN:
9780674300460
Keywords for this book
problem solving; visual learner; abstraction; complex number; polynomial; exponent; commutative property; distributive; graphing; expression; prime; uncountable; parabola; elimination; linear; square root; cube; factor; proof; irrational; unknown; axiom; euclidean; permutation; combination; pythagorean theorem; radius; domain; range; coefficient; sangaku; vector; identity; inverse; constant; groups; fields; sets; ideals; gauss; galois theory; algebraic geometry
