Course Title:	Topics: History of Mathematics
Course Number:	MATH 3010 - 001
Instructor:	Andrejs Treibergs
Home Page:	`http://www.math.utah.edu/~treiberg/M3011.html`
Place & Time:	M, W, F 11:50 AM - 12:40 PM in LCB 225.
Office Hours:	10:45 - 11:45 M, T, F, in JWB 224 (tent.)
E-mail:

Alternative Texts for a History of Mathematics

Here is a partial list of alternative sources that cover the material. These are also especially useful for searching for a paper topic.

We shall basically discuss extracts from the text by Katz. We will not be able to cover everything in the book, but you will also be asked to read material that is not discussed. We shall follow the traditional thread of mathematics history through Babylonian, Egyptian, Greek, Indian, Chinese, Arabic, European and American cultures. See Ascher for a discussion of developments elsewhere. Much of the material is standard and widely available. Therefore, students might be able to get by without owning the text, although the majority of the problems will come from the text. I'll provide references and put copies in the library. Come to class for details and references.

This is my third time teaching Math 3010 but my first time using Katz. Previously I used Stilwell, a text recommended by Prof. Hecht. Aa alternative choice would have been the text by Burton. Katz and Burton are extensive and in places mathematically challenging. We shall try to navigate through the parts that are mathematically reasonable. I am happy to entertain your suggestions for which topics in the text you would like to see covered.

This course is designed to be approachable both by students fresh out of calculus or those finishing their degree. This is a mathematics course covering ancient mathematics that may not be familiar to you. This course also provides writing credit for which students will have to write three essays throughout the semester.

Texts Suitable for an Undergraduate Course in the History of Mathematics

David Burton, The History of Mathematics: an Introduction, 7th. ed., Mc Graw Hill, 2011.
Victor Katz, A History of Mathematics, 3rd. ed., Pearson India 2019.
John Stilwell, Mathematics and its History, 3rd. ed., Springer, 2011.

Overviews of the History of Mathematics

Marcia Ascher, Mathematics Elsewhere, An Exploration of Ideas Across Cultures, Princeton U. Press, 2002.
Marcia Ascher, Ethnomathematics: A Multicultural View of Mathematical Ideas, CRC Press 2010; repub. Chapman Hall/ CRC Taylor Francis Group, LLC, 1991.
Carl Boyer, A History of Mathematics, Princeton U. Press, 1968.
Ronald Calinger, ed., Classics of Mathematics, Prentice Hall, 1995
William Dunham, Journey Through Genius: The Great Theorems of mathematics, Penguin Books, 1991.
Morris Kline, Mathematical Thought from Ancient to Modern Times, Oxford U. Press, 1972.
Edna Kramer, The Main Stream of Mathematics, Premier Book 1961; repub. Oxford U. Press, 1951.
James Newman, The World of Mathematics: A Small library of the Literature of Mathematics from A'h-mosé the Scribe to Albert Einstein, Simon and Schuster, 1956.
Dirk Struik, A Concise History of Mathematics, Dover 1967.

Biographies.

G. H. Hardy, A Mathematician's Apology, Cambridge U. Press, 1940.
Paul Hoffman, The Man Who Loved Only Numbers, The Story of Paul Erdös and the Search for Mathematical Truth, Hyperion, 1998.
S. M. Ulam, Adventures of a Mathematician, Charles Scribner's Sons, 1983.

Special Topics.

Edwin Abbott, Flatland: A Romance of Many Dimensions, Dover 1992; orig. pub. Seely & Co., Ltd. 1884.
Petr Beckmann, A History of π (PI), Saint Martin's Press, 1971.
Carl Boyer, The History of Calculus and its Conceptual Developnment, Dover, 1959; orig. pub. The Concepts of Calculus:A Critical and Historical Discussion of the Derivative and the Integral, Hafner Publishing, 1949.
Lucas Bunt, Phillip Jones, Jack Bedient, The Historical Roots of Elementary Mathematics, Dover 1988; orig. pub. Prentice Hall, 1976
Heinrich Dörrie, 100 Great Problems of Elementary Mathematics: Their Hisatory and Solution, Dover 1965; orig. pub. Triumph der Mathematik: Hundert berühmte Probleme aus zweei Jahrtausended mathematischer Kultur, Physica-Verlag, 1958.
John Derbyshire, Prime Obsession: Bernhard Riemann and the Greatest Unsolved Problem in Mathematics, Plume Book 2004; orig. pub. Henry Press, 2001.
Albert Einstein, Relativity: The Special and the General Theory: Authorized Translation by Robert W. Lawson, 15th ed., Three Rivers Press, 1961; orig pub. Hebrew U., 1961.
Masha Gessen, Perfect Rigor: A Genius + The Mathematical Breakthrough of the Century, Houghton Mifflin Harcourt Pub. Co., 2009.
Sir Thomas Heath, The Thirteen Books of Euclid's Elements: Translated fro the Text of Heiberg, Vol. 1, 2nd. ed., Dover 2013; orig. pub. Cambridge U. Press, 1965.
William Ivins, Art & Geometry: A Study in Space Intuitions, Dover 1964; orig. pub. Harvard U. Press, 1946.
Wilbur Knorr, The Ancient Tradition of Geometric Problems, Dover, 1993; orig. pub. Birkhäuser, 1986.
Eli Maori, e: The Story of a Number, Princeton U. Press, 1994.
Isaac Newton, The Principia: Translated by Andrew Motte, Pronmetheus Books, 1995; repub. D. Adee 1848; orig. pub. 1687.
Donal O'Shea, The Poincaré Conjecture, Walker Pub., 2007.
Dan Pedoe, Geometry and the Visual Arts, Dover 1983; orig. pub. St. Martin's Press, 1978.
David Salsburg, The Lady Tasting Tea: How Statistics Revolutionized Science in the Twentieth Century, Holt Paperbacks, 2002; orig. pub. W. H. Freeman & Co., 2002.
Simon Singh, The Code Book: The Science of Secrecy from Ancient Egypt to Quantum Cryptography, Anchor Books, 2000.
George Szpiro, Poincaré's Prize: The Hundred Year Quest to Solve One of Math's Greatest Puzzles, Plume 2007.
G. A. Tokaty, A History and Philosophy of Fluid Mechanics, Dover, 1994; orig. pub. G. T. Foulis & Co., Ltd. 1971.

Last updated: 12- 22 - 23