History of Mathematics

Course Information
TitleΙΣΤΟΡΙΑ ΤΩΝ ΜΑΘΗΜΑΤΙΚΩΝ / History of Mathematics
Cycle / Level1st / Undergraduate
Teaching PeriodSpring
Course ID40000513

Programme of Study: UPS of School of Mathematics (2014-today)

Registered students: 0
OrientationAttendance TypeSemesterYearECTS
CoreElective CoursesSpring-5

Class Information
Academic Year2016 – 2017
Class PeriodSpring
Weekly Hours3
Class ID
Course Type 2016-2020
  • Background
  • General Knowledge
  • Scientific Area
Course Type 2011-2015
Specific Foundation / Core
Mode of Delivery
  • Face to face
The course is also offered to exchange programme students.
Language of Instruction
  • Greek (Instruction, Examination)
  • English (Examination)
General Prerequisites
The students must have acquired the mathematical background that will enable them to understand the evolution of mathematics. Specifically they must have come into contact with the mathematical concepts that are covered in the core courses of a typical curriculum of undergraduate mathematics.
General Competences
  • Apply knowledge in practice
  • Adapt to new situations
  • Make decisions
  • Work in teams
  • Appreciate diversity and multiculturality
  • Demonstrate social, professional and ethical commitment and sensitivity to gender issues
  • Be critical and self-critical
  • Advance free, creative and causative thinking
Course Content (Syllabus)
The course is concerned with the development of Mathematics from antiquity to 19th century: a special emphasis will be given to the development of algebra. The following topics will be covered: Egyptian and Babylonian mathematics, the famous three problems of antiquity, the "Elements" of Euclid, the role of Euclid's "fifth axiom" in Euclidean Geometry and the "discovery" of other Geometries in the 19th century, Hilbert's attempt for the axiomatic foundation of geometry. Selections from Archimedes' work and his "Method", topics from the History of Number Theory, mathematics in Islam, mathematics during Renaissance: the solution of cubic and fourth degree equations, the beginnings of calculus, Newton and Leibniz, the discovery of Hamilton's quadratic numbers, the non-solvability of the 5th degree equation, the transition from practical algebra and arithmetic to abstract algebra with Gauss and Galois, E. Noether and the development of algebra.
Educational Material Types
  • Notes
  • Slide presentations
  • Book
Course Organization
Written assigments692.3
Student Assessment
two exams 90%, presentation 10%
Student Assessment methods
  • Written Exam with Short Answer Questions (Summative)
  • Written Assignment (Summative)
  • Performance / Staging (Summative)
Course Bibliography (Eudoxus)
ΙΣΤΟΡΙΑ ΤΩΝ ΜΑΘΗΜΑΤΙΚΩΝ, Μια εισαγωγή, V. Katz, Πανεπιστημιακές εκδόσεις Κρήτης Η ιστορία των Μαθηματικών, Carl B. Boyer; Uta C. Merzbach, εκδόσεις Πνευματικός Γ. Α., Συνοπτική ιστορία των μαθηματικών, Dirk Struik, Εκδόσεις ΔΑΙΔΑΛΟΣ
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