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The Ionic School
The School of Pythagoras
The Sophist School
The Platonic School
The First Alexandrian School
The Second Alexandrian School
Europe During the Middle Ages
Introduction of Roman Mathematics
Translation of Arabic Manuscripts
The First Awakening and its Sequel
Vieta to Descartes
Descartes to Newton
Newton to Euler
Euler, Lagrange, and Laplace
The Origin of Modern Geometry
Theory of Functions
Theory of Numbers
Table of Contents
Egyptian and Phoenician Mathematics.
The Ionian and Pythagorean Schools. Circ. 600 b.c.–400 b.c.
The Schools of Athens and Cyzicus. Circ. 420–300 b.c.
The First Alexandrian School. Circ. 300–30 b.c.
The Second Alexandrian School. Circ. 30 b.c.–641 a.d.
The Byzantine School. 641–1453.
Systems of Numeration and Primitive Arithmetic.
The Rise Of Learning In Western Europe. Circ. 600–1200.
The Mathematics Of The Arabs.
Introduction of Arabian Works into Europe. Circ. 1150–1450.
The Development Of Arithmetic.
The Mathematics of the Renaissance. Circ. 1450–1637.
The Close of the Renaissance.
The History of Modern Mathematics.
History of Mathematics from Descartes to Huygens. Circ. 1635–1675.
The Life and Works of Newton.
Leibnitz and the Mathematicians of the First Half of the Eighteenth Century.
Lagrange, Laplace, and their
Mathematics of the Nineteenth Century.
The Ancient Greeks
Zeno’s Paradox and the Concept of Limit
The Mystical Mathematics of Hypatia
The Arabs and the Development of Algebra
Cardano, Abel, Galois, and the Solving of Equations
Ren´e Descartes and the Idea of Coordinates
The Invention of Differential Calculus
Complex Numbers and Polynomials
Sophie Germain and Fermat’s Last Problem
Cauchy and the Foundations of Analysis
The Prime Numbers
Dirichlet and How to Count
Riemann and the Geometry of Surfaces
Georg Cantor and the Orders of Infinity
The Number Systems
Henri Poincar´e, Child Prodigy
Sonya Kovalevskaya and Mechanics
Emmy Noether and Algebra
Methods of Proof
Proof by Induction
Alan Turing and Cryptography
Ancient Babylonian mathematics
Ancient Egyptian mathematics
Ancient Greek mathematics
Mathematics in Scotland
Overview of the history of mathematics
Numbers and number theory
Geometry and topology
Number System Limits
Origin of Number Words
Origin of Number Words (continued)
Miscellaneous Number Bases
The Quinary System
The Vigesimal System
lonia and the Pythagoreans
The Heroic Age
The age of Plato and Aristotle
Eucid of Alexandria
Archimedes of Syracuse
Apollonious of Perga
Greek Trigonometric and Mesureation
Revival and Decline of Greek Mathematics
China and India
The Arabic Hegemony
Europe in the Middle ages
Prelude to Modern Mathematics
The time of Fermat and Descartes
A Transitional Period
Newton and Laibniz
The Bernoulli Era
The age of Euler
Mathematicians of French Revolution
The Time of Gauss and Cauchy
The Heoic Age in Geometry
the Arithmetization of Analysis
The Rise of Abstract Algebra
Aspects of the Twentieth Century