History of Mathematics 1
A.Y. 2022/2023
Learning objectives
Analysis of some fundamental moments in the path of history of mathematics.
Expected learning outcomes
Students will acquire adequate methods, both technical and critical, that will enable them to get more familiar with some fundamental masterpieces of the history of mathematics.
Lesson period: Second semester
Assessment methods: Esame
Assessment result: voto verbalizzato in trentesimi
Single course
This course cannot be attended as a single course. Please check our list of single courses to find the ones available for enrolment.
Course syllabus and organization
Single session
Responsible
Lesson period
Second semester
Course syllabus
History of the rule of signs.
Algebraic problems in ancient mathematics.
Progress of algebra in arabic mathematics.
The Italian Renaissance: Dal Ferro, Cardano, Tartaglia, Ferrari, and Bombelli.
Viète, Descartes and the reform of algebraic language.
Nature and structure of the roots of an equation
The fundamental theorem of algebra
Lagrange and the birth of abstract algebra
Ruffini-Abel theorem
Galois's "Mémoire"
Progress in group theory during XIX century
From groups to fields
Algebraic problems in ancient mathematics.
Progress of algebra in arabic mathematics.
The Italian Renaissance: Dal Ferro, Cardano, Tartaglia, Ferrari, and Bombelli.
Viète, Descartes and the reform of algebraic language.
Nature and structure of the roots of an equation
The fundamental theorem of algebra
Lagrange and the birth of abstract algebra
Ruffini-Abel theorem
Galois's "Mémoire"
Progress in group theory during XIX century
From groups to fields
Prerequisites for admission
A knowledge of basic algebra
Teaching methods
Lessons in a class
Teaching Resources
Notes available on the website of the course
Assessment methods and Criteria
Oral exam. The oral exams will contain three questions.
1st. A question on a topic selected by the student among those covered in the course.
2nd. A question proposed by the teacher within a chapter of the course, selected by the student.
3rd. A question proposed by the teacher.
Vote recorded in thirtieths
1st. A question on a topic selected by the student among those covered in the course.
2nd. A question proposed by the teacher within a chapter of the course, selected by the student.
3rd. A question proposed by the teacher.
Vote recorded in thirtieths
MAT/04 - MATHEMATICS EDUCATION AND HISTORY OF MATHEMATICS - University credits: 6
Lessons: 42 hours
Professor:
Rosso Riccardo
Professor(s)