Part I. Ancient Mathematics 1. Egypt and Mesopotamia 1.1 Egypt 1.2 Mesopotamia 2. The Beginnings of Mathematics in Greece 2.1 The Earliest Greek Mathematics 2.2 The Time of Plato 2.3 Aristotle 3. Euclid 3.1 Introduction to theElements 3.2 Book I and the Pythagorean Theorem 3.3 Book II and Geometric Algebra 3.4 Circles and the Pentagon 3.5 Ratio and Proportion 3.6 Number Theory 3.7 Irrational Magnitudes 3.8 Solid Geometry and the Method of Exhaustion 3.9 Euclid's Data 4. Archimedes and Apollonius 4.1 Archimedes and Physics 4.2 Archimedes and Numerical Calculations 4.3 Archimedes and Geometry 4.4 Conic Sections Before Apollonius 4.5The Conicsof Apollonius 5. Mathematical Methods in Hellenistic Times 5.1 Astronomy Before Ptolemy 5.2 Ptolemy andThe Almagest 5.3 Practical Mathematics 6. The Final Chapter of Greek Mathematics 6.1 Nichomachus and Elementary Number Theory 6.2 Diophantus and Greek Algebra 6.3 Pappus and Analysis Part II. Medieval Mathematics 7. Ancient and Medieval China 7.1 Introduction to Mathematics in China 7.2 Calculations 7.3 Geometry 7.4 Solving Equations 7.5 Indeterminate Analysis 7.6 Transmission to and from China 8. Ancient and Medieval India 8.1 Introduction to Mathematics in India 8.2 Calculations 8.3 Geometry 8.4 Equation Solving 8.5 Indeterminate Analysis 8.6 Combinatorics 8.7 Trigonometry 8.8 Transmission to and from India 9. The Mathematics of Islam 9.1 Introduction to Mathematics in Islam 9.2 Decimal Arithmetic 9.3 Algebra 9.4 Combinatorics 9.5 Geometry 9.6 Trigonometry 9.7 Transmission of Islamic Mathematics 10. Medieval Europe 10.1 Introduction to the Mathematics of Medieval Europe 10.2 Geometry and Trigonometry 10.3 Combinatorics 10.4 Medieval Algebra 10.5 The Mathematics of Kinematics 11. Mathematics Elsewhere 11.1 Mathematics at the Turn o
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