Topic Index: Number Sense/Systems
Currently, our books are written with a semester long course in mind. However, many of the individual chapters from different books can be grouped together to create a semester long course with a variety of topics or they can be used to supplement a topic in an exisiting course. To use this topic index, click a heading below to view the specific book chapter(s) featuring a given topic.
Discovering the Art of Mathematics: Truth, Reasoning, Certainty, & Proof
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Existence of $\sqrt{-1}$
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Types of Reasoning
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Proof
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Limits of Knowledge
Discovering the Art of Mathematics: Number Theory
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Primes and Congruences
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Partitions
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Power Partitions
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The World's Greatest Mathematical Problem
Discovering the Art of Mathematics: Patterns
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The Use of Patterns and Language in the Creation of Powerful Number Systems
Discovering the Art of Mathematics: The Infinite
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Grasping Infinity
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Rigor and Divergence
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The Ordered and Surreal Landscapes of Infinity
Discovering the Art of Mathematics: Calculus
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The Banach—Tarski Paradox