A History of Mathematics
, by Katz, Victor J.Note: Supplemental materials are not guaranteed with Rental or Used book purchases.
- ISBN: 9780321387004 | 0321387007
- Cover: Paperback
- Copyright: 7/2/2008
One of the leading historians in the mathematics field, Victor Katz provides a world view of mathematics, balancing ancient, early modern, and modern history.
Victor J. Katz received his PhD in mathematics from Brandeis University in 1968 and has been Professor of Mathematics at the University of the District of Columbia for many years. He has long been interested in the history of mathematics and, in particular, in its use in teaching. He is the editor of The Mathematics of Egypt, Mesopotamia, China, India and Islam: A Sourcebook (2007). He has edited or co-edited two recent books dealing with this subject, Learn from the Masters (1994) and Using History to Teach Mathematics (2000). Dr. Katz also co-edited a collection of historical articles taken from MAA journals of the past 90 years, Sherlock Holmes in Babylon and other Tales of Mathematical History. He has directed two NSF-sponsored projects to help college teachers learn the history of mathematics and learn to use it in teaching. Dr. Katz has also involved secondary school teachers in writing materials using history in the teaching of various topics in the high school curriculum. These materials, Historical Modules for the Teaching and Learning of Mathematics, have now been published by the MAA. Currently, Dr. Katz is the PI on an NSF grant to the MAA that supports Convergence, an online magazine devoted to the history of mathematics and its use in teaching.
Ancient Mathematics | |
Egypt and Mesopotamia | |
Egypt | |
Mesopotamia | |
The Beginnings of Mathematics in Greece | |
The Earliest Greek Mathematics | |
The Time of Plato | |
Aristotle | |
Euclid | |
Introduction to the Elements | |
Book I and the Pythagorean Theorem | |
Book II and Geometric Algebra | |
Circles and the Pentagon | |
Ratio and Proportion | |
Number Theory | |
Irrational Magnitudes | |
Solid Geometry and the Method of Exhaustion | |
Euclids Data | |
Archimedes and Apollonius | |
Archimedes and Physics | |
Archimedes and Numerical Calculations | |
Archimedes and Geometry | |
Conic Sections Before Apollonius | |
The Conics of Apollonius | |
Mathematical Methods in Hellenistic Times | |
Astronomy Before Ptolemy | |
Ptolemy and The Almagest | |
Practical Mathematics | |
The Final Chapter of Greek Mathematics | |
Nichomachus and Elementary Number Theory | |
Diophantus and Greek Algebra | |
Pappus and Analysis | |
Medieval Mathematics | |
Ancient and Medieval China | |
Introduction to Mathematics in China | |
Calculations | |
Geometry | |
Solving Equations | |
Indeterminate Analysis | |
Transmission to and from China | |
Ancient and Medieval India | |
Introduction to Mathematics in India | |
Calculations | |
Geometry | |
Equation Solving | |
Indeterminate Analysis | |
Combinatorics | |
Trigonometry | |
Transmission to and from India | |
The Mathematics of Islam | |
Introduction to Mathematics in Islam | |
Decimal Arithmetic | |
Algebra | |
Combinatorics | |
Geometry | |
Trigonometry | |
Transmission of Islamic Mathematics | |
Medieval Europe | |
Introduction to the Mathematics of Medieval Europe | |
Geometry and Trigonometry | |
Combinatorics | |
Medieval Algebra | |
The Mathematics of Kinematics | |
Mathematics Elsewhere | |
Mathematics at the Turn of the Fourteenth Century | |
Mathematics in America, Africa, and the Pacific | |
Early Modern Mathematics | |
Algebra in the Renaissance | |
The Italian Abacists | |
Algebra in France, Germany, England, and Portugal | |
The Solution of the Cubic Equation | |
Viete, Algebraic Symbolism, and Analysis | |
Simon Stevin and Decimal Analysis | |
Mathematical Methods in the Renaissance | |
Perspective | |
Navigation and Geography | |
Astronomy and Trigonometry | |
Logarithms | |
Kinematics | |
Geometry, Algebra and Probability in the Seventeenth Century | |
The Theory of Equations | |
Analytic Geometry | |
Elementary Probability | |
Number Theory | |
Projective Geometry | |
The Beginnings of Calculus | |
Tangents and Extrema | |
Areas and Volumes | |
Rectification of Curves and the Fundamental Theorem | |
Newton and Leibniz | |
Isaac Newton | |
Gottfried Wilhelm Leibniz | |
First Calculus Texts | |
Modern Mathematics | |
Analysis in the Eighteenth Century | |
Differential Equations | |
The Calculus of Several Variables | |
Calculus Texts | |
The Foundations of Calculus | |
Probability and Statistics in the Eighteenth Century | |
Theoretical Probability | |
Statistical Inference | |
Applic | |
Table of Contents provided by Publisher. All Rights Reserved. |
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