Histories of Numbers (MAT2484.01)

Timothy Kane

As mathematics has become increasingly complex and abstract, so too have the number systems necessary to define and work within each expansion.  The development of the concept of number parallels that of mathematics itself, intertwined in a symbiosis where numbers generate new mathematical fields and mathematical insight unveils deeper understanding of numbers.  This class will explore global historical traces of number in ancient numbers systems, infinity and infinitesimals, transcendentals, primes, geometry, and modern abstractions and applications.  Coursework will include mathematical computation and problem-solving assuming familiarity with topics in high school mathematics or Entry to Mathematics.

Learning Outcomes:
Make connections between cultures and historical periods and their influence on mathematical developments.

Explore themes of mathematics history including interpretation, abstraction, symbolism, discovery, invention, application, philosophy, and creation.

Develop a global perspective of the universal and human nature of mathematics.

Exposure to unfamiliar topics and perspectives of mathematics and their related advancements and applications.

Contextualize historical mathematicians through biography to appreciate the context and circumstance of their contributions.

Investigate controversy in mathematics competition and accreditation.

Delivery Method: Fully in-person
Course Level: 2000-level
Credits: 4
M/Th 7:00PM-8:50PM (Full-term)
Maximum Enrollment: 20
Course Frequency: One time only

Categories: 2000 , All courses , Four Credit , Fully In-Person , Mathematics , New Courses , Updates