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MAT240_1

History of Mathematics

This is the study programme for 2019/2020. It is subject to change.


Development of some central concepts of modern mathematics: Numbers and number systems (Natural numbers, rational numbers, real numbers, cardinal numbers) from Babylon to Europe, the concept of infinity from Zeno to Cantor, integration and derivation (the concept of limit from Fermat to Weierstrass, Newton's fluctions, the infinitesimals from Leibniz to Robinson), infinite series. Classical algebra, including solutions of cubic and biquadratic equations.

Learning outcome

After comleting the course students should have a good general idea of the evolution of some of the major concepts of modern mathematics, such as
(i) numbers and their representations, (ii) derivation and integration, (iii) polynomial equations and their solutions.

Contents

Development of some central concepts in modern mathematics: Numbers and number systems (natural numbers, rational numbers, real numbers, cardinal numbers) from Babylon to Europe, infinity from Zeno to Cantor, integration and derivation (the limit concept from Fermat to Weierstrass, Newton's fluctions, the infinitesimals from Leibniz to Robinson), infinite seres. Development of Classical Algebra. Solution of polynomial equations from early times (Rhind papyrus, 1650 BCE) to Abel (1825) and Galois (1830).

Required prerequisite knowledge

None.

Recommended previous knowledge

MAT100 Mathematical Methods 1

Exam

Weight Duration Marks Aid
Written exam1/14 hoursA - FNo printed or written materials are allowed. Approved basic calculator allowed.

Course teacher(s)

Course teacher
Alexander Ulanovskii
Course coordinator
Alexander Rashkovskii
Head of Department
Bjørn Henrik Auestad

Method of work

6 hours per week - lectures and problem solving.

Overlapping courses

Course Reduction (SP)
The History of Mathematics (ÅMA240_1) 10

Open to

Matematikk årsstudium på Det teknisk-naturvitenskapelig fakultetet.

Bachelor studies at the Faculty of Science and Technology.

Master studies at the Faculty of Science and Technology.

Course assessment

Form and/or discussion

Literature

P. Papatzacos: "Notater om matematikkens historie". (Canvas)


This is the study programme for 2019/2020. It is subject to change.

Sist oppdatert: 13.11.2019

History