Index

abacus

Abel Prize

Abel, Niels

Ab ‘Al al-asan ibn al-asan ibn al-Haytham

Ab al-Waf al-Bzjni

Ab Kmil

Ab 1-Ryan Muammad ibn Amad al-Brn

Adleman, Leonard

d’Alembert, Jean

Alexander the Great

algebra

Algebra

algorithm

algorithmic information theory

Alhazen’s billiards problem

al-Karaj

al-Khwrizm

Almagest

Al-Samaw’al

al-Uqldis

analytic geometry

Anaximander

antiderivative

Antiphon

Apollonius

Appel, Kenneth

arc length

Archimedes

Archimedes’ theorem

Archytas

area

Argand, Jean-Robert

Aristarchus

Aristotle

arithmetic

Arithmetica

arms race

Aryabhata I

associative law

d’Aurillac, Gerbert

axiom

 

Babbage, Charles

Bar Hiyya, Abraham

Barrow, Isaac

Basel Problem

Beautiful Mind, A (film)

Berkeley, George

Bernoulli’s Theorem

Bernoulli, Daniel

Bernoulli, James

Bernoulli, Johann

Bernoulli, John

Bernoulli, Nicolaus

Bézout’s Identity

Bézout, Étienne

Bhaskara I

Bhaskara II

binary

binomial identity

Bolyai, János

Bolyai, János

Bolzano, Bernard

Bombelli, Rafael

Boole, George

Boolean algebra

Borel, Émile

brachistochrone problem

Brahe, Tycho

Brahmagupta

Bridges of Königsberg

Bürgi, Joost

 

calculus

calculus of variations

Cantor, Georg

Cardano, Gerolamo

Carroll, Lewis

Cartesian coordinate system

Cartesian plane

catenary

Cauchy, Augustin-Louis

Cavalieri, Bonaventura

Cayley, Arthur

chain rule

chaos theory

check digit

checkers

checksum

chess

chicken dilemma

Chinese Remainder Theorem

chord

circle

Clairaut, Alexis

clock arithmetic

Cohen, Paul

Collatz Problem

Collatz, Lothar

combination

combinatorics

commensurable line segments

complex variables

complexity

composite number

compound interest

computation

computer

Von Neumann architecture

Confucius

congruence

congruence class

conic section

Conics

construction problem

Continuum Hypothesis

coordinate system

Copernicus, Nicolaus

coprime

corollary

cosine

counterexample

critical point

cube

cubic polynomial

cusp

cycloid

cylinder

 

De Morgan, Augustus

De revolutionibus orbium coelestium

decimal system

Dedekind, Richard

degree

Delian problem

delta

Democritus

derivative

approximation rule

chain rule

constant coefficient rule

cosine

general exponential function

line rule

natural exponential function

natural logarithm function

power rule

product rule

quotient rule

sine

sum rule

derivative formulas

Descartes, René

design theory

differential

differential equation

differentiation

dilemma game

Diocles

Diophantine equation

Diophantus

“Discourse on Metaphysics”

discriminant

Disquisitiones Arithmeticae

distance

divides

divisibility rule

Division Theorem

divisor

doubling time

Dresher, Marvin

duplation

 

e

Elements

ellipse

elliptic geometry

entropy

equation

cubic

linear

quadratic

equilibrium solution

equilibrium strategy

Erdõs, Paul

Erlangen Program

error-correcting code

error-detecting code

Euclid

Euclid’s formula

Euclid’s Theorem

Euclidean Algorithm

Euclidean geometry

Eudoxus

Euler’s Identity

Euler, Leonhard

Eulerian path

evolutionary biology

exponential decay

exponential growth

 

factorial

false position

Fermat prime

Fermat’s Last Theorem

Fermat, Pierre de

Fero, Scripta del

Ferrari, Ludovico

Fibonacci

Fibonacci sequence

field

Fields Medal

figurate number

Del Fiore, Antonio

Flood, Merrill

Four Color Conjecture

Francesca, Piero della

free rider problem

Frey, Gerhard

function

analytic

constant

continuous

cosine

decreasing

domain of

exponential

increasing

inverse

linear

natural logarithm

pathological

polynomial

range of

sine

square root

tangent

trigonometric

Fundamental Theorem of Algebra

Fundamental Theorem of Arithmetic

Fundamental Theorem of Calculus

 

Gabriel’s Horn

Galileo

Galois, Évariste

game

non-zero-sum

zero-sum

game theory

Gauss, Carl Friedrich

Gaussian elimination

Gaussian integers

gelosia

genus

geometric construction

geometric series

geometry

analytic

Euclidean

finite

non-Euclidean

perspective

projective

solid

spherical

Germain, Sophie

Gerson, Levi ben

Ghiyth al-Dn Jamshd al-Ksh

Gödel, Kurt

Gödel’s theorem

Goldbach’s Conjecture

Goldbach, Christian

golden ratio

graph theory

great circle

Great Internet Mersenne Prime Search

Great Pyramid

greatest common divisor

Gregory, James

group

simple

symmetry

group theory

 

Hadamard, Jacques

Haken, Wolfgang

Hailey, Edmond

Halting Problem

Hamilton, William Rowan

Hamming, Richard

Hammurabi

Hardy, G. H.

harmonic series

Heron

Heron’s formula

Heron’s method

van Heuraet, Hendrick van

hieroglyph

Hilbert space

Hilbert, David

Hill, Thomas

Hindu-Arabic system

Hipparchus

Hippasus

Hippocrates

Hooke, Robert

Homer, William

l’Hôpital, Guillaume de

Hurwitz, Adolf

Huygens, Christiaan

Hypatia

hyperbola

hyperbolic geometry

 

i

identity

incommensurable magnitudes

incompleteness theorem

infinity

information theory

instantaneous velocity

integer lattice

integral

constant coefficient rule

power rule

sum rule

integration

interest

International Standard Book Number

isometry

isoperimetric figures

iterated prisoner’s dilemma

 

Jacobi, Carl Gustav Jakob

Jia Xian

Jordan, Camille

 

Kamal al-Din al-Farisi

Kepler, Johannes

Klein, Felix

Kleinberg, Jon

Knuth, Donald

Kodaira, Kunihiko

Kolmogorov, Andrey

König, Dénes

Kronecker, Leopold

Kummer, Ernst

 

Lagrange, Joseph-Louis

Landau, Edmund

Laplace, Pierre-Simon de

Law of Large Numbers

law of sines

Laws of Thought

least common multiple

Legendre, Adrien-Marie

Lehrer, Tom

Leibniz, Gottfried

calculating machines

calculus notation

lemniscate

Li Ye

Liar’s Paradox

Liber Abaci

limit

Lindemann, Carl

linear equation

linear function

Liu Hui

Lobachevsky, Nikolai

Locke, John

logarithm

logarithmic spiral

logic

Lovelace, Ada

 

Madhava

magic square

magnitude

manifold

marginal cost

marginal profit

marginal revenue

mathematical induction

Matiyasevich, Yuri

matrix game

maximum

mean proportional

Menaechmus

Menelaus

Mersenne prime

Mersenne, Marin

Mesopotamia

The Method

method of exhaustion

de Méziriac, Claude Gaspard Bachet

Middle Kingdom

Millennium Prize Problems

minimax theorem

minimum

Minkowski, Hermann

Möbius strip

modular arithmetic

de Moivre, Abraham

Monge, Gaspard

Mori, Shigefumi

Moscow Mathematical Papyrus

 

Nar al-Dn al-s

Napier, John

Nash equilibrium

Nash, John Forbes Jr.

natural logarithm

von Neumann, John

“New Theory about Light and Colours”

Newton’s Law of Cooling

Newton, Isaac

Nine Chapters

Noether, Emmy

non-Euclidean geometry

normal distribution

Nova Methodus Pro Maximis et Minimis

number

complex

Gaussian integer

integer

irrational

negative

rational

real

transfinite

 

number theory

 

On the Sphere and Cylinder

optimization

optimization principle

Ostler, Nicholas

 

Pappus

parabola

paradox

parallel postulate

parity

Parmenides

Pascal’s triangle

Pascal, Blaise

pathological function

Peano Axioms

Peano, Guiseppe

Pell equation

pentagon

Perelman, Grigori

perfect number

permutation

perspective

Philosophice Naturalis Principia Mathematica

Phoenician alphabet

pi

plane

Plato

Platonic solids

Poincaré Conjecture

Poincaré, Henri

polar coordinates

polyhedron

polynomial

population

Porges, Arthur

postulate

power series

prime factorization

prime number

Prime Number Theorem

Prince Rupert’s cube

Principia Mathematica

prisoner’s dilemma

probability

probability space

Proclus

projection

proof

Proof, The (Nova special)

proof by contradiction

proposition

propositional calculus

psychology

Ptolemy, Claudius

pyramid

Pythagoras

Pythagorean Theorem

Pythagorean triple

 

Qin Jiushao

Qin Shi Huangdi

quadratic equation

quadratic formula

quadrature

quintic polynomial

Q.E.D.

 

radian

ratio

Recorde, Robert

relatively prime

Rhind Mathematical Papyrus

Ribet, Ken

Ricci, Matteo

Riemann integral

Riemann, Bernhard

ring

Ringel, Gerhard

Rivest, Ronald D.

Rosetta Stone

Rousseau, Jean-Jacques

RSA encryption

Rubik’s Cube

Rudolff, Christoff

Ruffini, Paolo

“rule of 72”

Russell, Bertrand

 

secant line

Selberg, Atle

series

convergent

divergent

geometric

harmonic

sum of

Zeno

series power

set theory

sexagesimal system

Shamir, Adi

Shannon, Claude E.

Sharaf al-Dn al-s

Shestakov, Victor

Sieve of Eratosthenes

sine

slide rule

slope

Socrates

sphere

spherical trigonometry

Spinoza, Baruch

square number

square root

stag hunt dilemma

Stevin, Simon

straightedge and compass

surd

surface

symmetry

symmetry group

 

tally sticks

tangent line

Tartaglia

Taylor, Richard

tetractys

Thales

Theaetetus

Theon

theorem

tic-tac-toe

tit for tat

topology

Torricelli’s trumpet

Torricelli, Evangelista

torus

tragedy of the commons

Traveling Salesman Problem

triangle

equilateral

right

triangular number

trigonometry

trinomial identity

Turing machine

Turing, Alan

Twin Prime Conjecture

twin primes

’Umar ibn Ibrhm al-Khayym

unique factorization

unit fraction

 

de la Vallée-Poussin, Charles

Varhamihira

velocity

Viète, François

volume

 

Wessel, Caspar

Weyl, Hermann

Whitehead, Alfred North

Wiles, Andrew

Wilson’s theorem

Wilson, John

Wolfskehl, Paul

World Wide Web

 

Yang Hui

Young, Grace Chisholm

Youngs, J. W. T.

 

Zeno

Zeno series

Zeno’s paradoxes

Zermelo, Ernst

zero

Zheng He

Zhu Shijie

Zhu Yuanzhang

Zu Chongzhi