History of Mathematics

Recommended Prerequisites

2 semesters of Analysis, Algebra and Geometry.

Teaching Methods

Lectures are mainly expository, complemented with movies and small discussions.

Learning Outcomes

Students should learn some aspects of the History of Mathematics in general and of the History of Mathematics in particular.

They should become able to integrate some aspects of History of Mathematics in the teaching of Mathematics, at the Basic Level or Secondary Level.

Work Placement(s)

No

Syllabus

1 - History of Mathematics in Antiquity

2 - History of Mathematics in China

3 - History of Mathematics in Africa

4 - History of Mathematics in India

5 - History of Mathematics in the Islamic Civilization

6 - From equations to Modern Algebra

7 - The birth of Infinitesimal Calculus

8 - Geometry from Euclid to Lobatchevski

9 - Brief sketch of the History of Mathematics in Portugal

10 - Use of History of mathematics in Mathematics Teaching.

Head Lecturer(s)

João Filipe Cortez Rodrigues Queiró

Assessment Methods

Final evaluation
Exam: 100.0%

Continuous evaluation
Frequency: 50.0%
Synthesis work: 50.0%

Bibliography

Boyer, C.B. (1974). História da Matemática. São Paulo: Edgar Blücher.

Estrada, M. F., C. C. Sá, et al. (2000). História da Matemática, Universidade Aberta, Lisboa.

Eves, H. (2004). Introdução à História da Matemática, Editora Unicamp, Campinas.

Katz, V. J. (2010). História da Matemática, FC Gulbenkian, Lisboa.

Vasconcellos, F. A. (2009). História das Matemáticas na Antiguidade, Ludus, Lisboa.

Marcus du Sautoy, História da Matematica, DVD, Open University, Milton Keynes, UK, 2008. 

PBS Home Video, The Story of 1, DVD, PBS, 2005.