## Studiemateriaal

François Viète, *Introduction to the Analytic Art; Standard Enumeration of Geometric Results*

René Descartes, *Discourse on Method; Geometry; Rules for the Direction of the Mind*

Leonardo of Pisa (“Fibonacci”), *Liber Abacci* (*The Book of Calculation*)

Blaise Pascal, *Mathematical Works*

Sean Collins, “*On the Use of Symbols*”

Jacob Klein, *Greek Mathematical Thought and the Origin of Algebra* (sel.)

Gottfried Wilhelm Leibniz, *Paper on Differential Calculus*

Leonhard Euler, *On the Completion of Algebra* (*Elements of Algebra*)

Richard Dedekind, *Essay on the Theory of Numbers*

Georg Cantor, *Contributions to the Founding of the Theory of Transfinite Numbers*

The students will only need to purchase the works below. You can find the edition we will be using by following the inserted links. All other entire works and selections will be provided as PDFs.

René Descartes, *Discourse on Method; Geometry; Rules for the Direction of the Mind*

Jacob Klein, Greek Mathematical Thought and the Origin of Algebra (sel.)

Richard Dedekind*, Essay on the Theory of Numbers*

## FAQ

Advanced students at master's level. People who already graduated are also welcome.

Dr. Jeffrey Lehman & dr. Andrew Seeley

This intensive course costs €1995 per semester. A number of scholarships are available for good candidates. Candidates can apply for a grant by sending a motivation that shows that they have a high academic level and that also briefly explains why he or she needs the grant to be able to pay their own contribution. Various grants are available for 50, 75 and 100 percent of the total cost.

**When is this course being taught?**

Wednesday & Thursday 16:30-18:00. The semester runs 12 weeks between 14 February and 8 May 2024.

**What do I receive after the course?**

You will receive a certificate. To successfully complete this course, good preparation and active participation are necessary; the student must also attend every lecture.

The deadline is January 20, 2024, 17:00. You will be told before January 27, 2024 whether you have been accepted. You will be told before February 1, 2024 whether you will receive a grant, if you have applied for one.

For most of the reading assignments, students are to prepare outlines (or detailed reading notes) based upon the readings. Such outlines will help students stay current on the material and also will promote better understanding of the readings and participation in the class discussions. The structure of the outline is up to the student, but all outlines must be clear, orderly, and comprehensive for each reading for which an outline is assigned. In order to receive credit, each outline must be completed prior to the class session for which the reading was assigned. All outlines will be submitted for grading at the time of the final exam.

All class sessions will be conducted as “seminars,” or Socratic conversations. Students are expected to actively participate in the discussion for the duration of each class session.

Students will complete a cumulative final exam at the end of the course.