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  • A to B
    • Abel, Henrik Neils
    • abacus
    • abundant number
    • accumulation point
    • actual infinite
    • addition
    • algebra
    • algebraic number
    • algebraically closed
    • almost everywhere
    • angle
    • arc-tangent
    • arccosine
    • Archimedes
    • arcsine
    • arctangent
    • Aristotle
    • arithmetic mean
    • arithmetic
    • associative
    • augend
    • axiom
    • Banach space
    • base
    • bijection
    • binary operation
    • bound
    • bounded
    • Bourbaki, Nicolas
  • C to D
    • Cantor, Georg
    • Cantor set
    • Cantor’s Theorem
    • cardinal arithmetic
    • cardinal
    • cardinality
    • Carroll’s Paradox
    • Cartesian plane
    • Cauchy sequence
    • Choice, Axiom of
    • chord
    • circle
    • circumference
    • closed
    • closure
    • combination
    • commutative
    • complement
    • complete
    • complex number
    • concave
    • conditional
    • cone
    • conics
    • connected
    • continuous
    • continuum
    • continuum hypothesis
    • contrapositive
    • converse
    • countable
    • Dandelin’s Spheres
    • density curve
    • differentiation rules
    • distributive
    • dodecahedron
  • E to F
    • e
    • ellipse
    • Euler polyhedron formula
    • exponential function
    • exponentiation
    • factor
    • factorial
    • fallacy
    • Fibonacci sequence
    • function
    • Fundamental Theorem of Arithmetic
  • G to H
    • geometric mean
    • Gödel, Kurt
    • Gödel’s Theorems
    • graph
    • greatest lower bound
    • Greek alphabet
    • Hempel’s Ravens Paradox
    • hexagon
    • Hilbert’s Problems
    • hyperbola
  • I to K
    • imaginary number
    • infinite set
    • infinity
    • injection
    • integer
    • integration formulas
    • inverse function
    • inverse
    • irrationality (proofs of)
    • join
    • Kepler’s Laws
  • L to N
    • Latin terms and phrases in math
    • laws of exponents
    • lower bound
    • mean
    • measures of central tendency
    • median
    • meet
    • metric
    • metric space
    • mode
    • The Monty Hall Problem
    • multiplication
    • natural number
    • neighborhood
    • normal distribution
    • number
  • O to Q
    • odds
    • one-to-one
    • onto
    • open
    • outlier
    • parabola
    • permutation
    • pi
    • Platonic solid
    • polygon
    • polyhedron
    • polynomial
    • prime number
    • Prime Number Theorem
    • quadratic
    • quadrilateral
  • R to T
    • radian
    • range
    • rational number
    • repetend
    • series
    • set
    • set theory
    • standard deviation
    • story problem
    • substitution principle
    • sumset
    • surjection
    • tetration
    • trigonometric function
    • trigonometric identity
  • U to Z
    • uncountable
    • upper bound
    • vector
    • vinculum
    • Von Neumann Hierarchy
    • well-founded
    • well-ordered
    • well-ordering principle
    • whole number
    • Zeno of Elea
    • Zeno’s Paradox of the Tortoise and Achilles

Easily read and absorbed in an hour or so, Platonic Realms MiniTexts present foundational and popular mathematics topics at an introductory level.

Infinity

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Number

  • What Is How Many?

Studying Math

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  • Writing for a Math Class

Visual Math

  • The Mathematical Art of M.C. Escher

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