The Nature of Mathematics, 12th Edition
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Chapter 2
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Chapter 4
Chapter 5
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Chapter 9
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Chapter 12
Chapter 13
Chapter 14
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Chapter 5 Projects

Section 5.7 Individual Research

Individual Research Project 5.12

What is a Diophantine equation?

Reference:
Warren J. Himmelberger, "Puzzle Problems and Diophantine Equations,"
The Mathematics Teacher, February 1973, 136-138, or a more complete reference, see any number theory textbook.