Mending of Broken Bones

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A01=Paul Lockhart
abstraction
accessible mathematics
algebra
algebraic geometry
algebraic structures
algebraic thinking
Author_Paul Lockhart
axiom
Category=PB
Category=PBF
coefficient
combination
commutative property
complex number
constant
cube
distributive
domain
Edward Frenkel Love and Math
elimination
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
equation solving
euclidean
exponent
expression
factor
fields
G.H. Hardy A Mathematician's Apology
Galois theory
gauss
geometric algebra
graphing
groups
higher dimensions
ideals
identity
inverse
irrational
Jordan Ellenberg How Not to Be Wrong
Keith Devlin The Language of Mathematics
linear
Mario Livio The Golden Ratio
math appreciation
math education
mathematical art
mathematical beauty
mathematical concepts
mathematical creativity
mathematical discovery
mathematical elegance
mathematical history
mathematical learning
mathematical logic
mathematical patterns
mathematical pedagogy
mathematical proofs
mathematical puzzles
mathematical thinking
mathematical understanding
mathematical visualization
mathematics
mathematics and education
number puzzle
number systems
number theory
numerical systems
parabola
permutation
polynomial
prime
problem solving
proof
pythagorean theorem
radius
range
recreational mathematics
sangaku
sets
square root
Steven Strogatz Infinite Powers
uncountable
unknown
vector
visual learner

Product details

  • ISBN 9780674296329
  • Weight: 783g
  • Dimensions: 156 x 235mm
  • Publication Date: 13 May 2025
  • Publisher: Harvard University Press
  • Publication City/Country: US
  • Product Form: Hardback
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A joyful and intimate celebration of the beauty and creativity of algebra from one of the foremost math educators of our time.

For many of us, algebra conjures up memories of dull classes spent wondering when we’d ever have to solve a system of equations or factor a polynomial. Indeed, most of the time, if we need to plan a budget or figure out how early to leave the house for work, common sense or a quick, seat-of-the-pants approximation is good enough.

But as mathematician Paul Lockhart argues in The Mending of Broken Bones, once we stop thinking of algebra in terms of its practical applications, we can appreciate it for the beautiful and gratifying subject that it is. In his hands, algebra is the delicate craft of untangling numerical puzzles to reveal the hidden patterns and often surprising behaviors of the numbers themselves. As Lockhart traverses numerical systems, slips into and out of higher-dimensional space, and delights in the intimate connections between algebra and geometry, we come to see the discipline from his viewpoint: not as the mundane exercises of our school years, but instead as an art form whose beauty lies in its elegant simplicity.

Written in Lockhart’s charming and conversational prose, The Mending of Broken Bones is an impassioned and deeply personal celebration of algebra that helps us experience the profound joys of mathematical discovery.

Paul Lockhart is the author of Arithmetic, Measurement, and A Mathematician’s Lament. After a career as a research mathematician at Brown University and the University of California, Santa Cruz, he spent two decades teaching algebra at Saint Ann’s School in Brooklyn.

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