Math. 47021/57021, Dr. Ulrike Vorhauer, Fall 2014
September 9, 2014
Problemset # 2
1. The Babylonians solved linear problems but there is an extensive list of quadratic equations that
they solved. In particular they solved many problems nding the length a
History of Mathematics, Fall 2014
Dr. Ulrike Vorhauer
Homework no.9, due Monday, December 8
1. Discuss the statement: All quadratic equations of the form ax2 + bx + c = 0 can be
solved.
2. Read through Chapter 6 of your textbook.
3. Give a brief biography
Assignment #5: The Mathematics in Ancient Greece
due October 14, 2014
1. Read Chapter 2 in An introduction to the History of Algebra (IHA).
2. Write a summary on the number system in the Ancient Greece.
3. Give a table of the Greek alphabet, write the Uni
History of Mathematics, Fall 2014
Dr. Ulrike Vorhauer
Homework no.8, due Monday, November 22
1. Prove that there are innitely many primes. Research the history of the Prime Number
Theorem and write a summary of your ndings.
2. Write a brief biography of A
History of Mathematics, Fall 2014
Dr. Ulrike Vorhauer
Homework no.7, due Monday, November 10
1. Write a brief biography of Euclid.
2. Familiarize yourself with the contents of Euclids Elements, a 13 volume collection of
propositions in geometry and number
History of Mathematics, Fall 2014
Dr. Ulrike Vorhauer
Homework no.6, due Monday, October 27
1. Write a brief biography of Hippocrates of Chios. Include his contributions to geometry
in it. Feel free to use online resources and your textbooks.
2. Construct
Directions for Attaining Knowledge of All Dark Things
but to be consistent with mathematical historians Ill call it the RMP, for Rhind Mathematical Papyrus.
The RMP itself is divided into 87 problems. (The last three are enigmatic and mangled and may not
The mathematics in Mesopotamia (Babylonian mathematics)
1.
Describe the Babylonian number system. Which symbols were used?
Write a summary that explains their number system.
2.
What is similar, what is different to our modern number system?
3.
Was there a
The Mathematics in Egypt (as early as 3000-1000 BC)
1. Describe the Egyptian number system. Which symbols were used? Write a summary that explains
their number system. Was it a positional number system? Compare it to the number system of the
Babylonians a
History of Math
Assignment 3: Plimpton 322
DUE: September 26, 2014
The clay tablet with the catalog number 322 in the G. A. Plimpton Collection at Columbia
University is probably the most well-known mathematical tablet which dates to about 19001600 BC. A
History of Mathematics, Dr. Ulrike Vorhauer, Fall 2014
9/2/2014
The Babylonians: The Positional Number System
Our modern Indo-Arabic or decimal number system is named after the East Indians who invented
it about 800 B.C. and by the Arabs who transmitted i