INTRODUCTION TO COMPLEX FUNCTION THEORY AND ANALYTIC NUMBER THEORY
(Mathematics)
Course description:
The joining of the ideas of calculus to complex numbers began in the early 19th century and reached a climax at the end of the century with the proof of the Prime Number Theorem, a 100-year old problem about the distribution of prime numbers, thus launching the field of Analytic Number Theory. This course introduces students to many of the beautiful and powerful tools of Complex Function Theory and their applications to Number Theory and Fourier Analysis. Topics include complex differentiation, contour integration, Riemann’s Zeta function, and the Riemann Hypothesis.
(Mathematics)
Course description:
The joining of the ideas of calculus to complex numbers began in the early 19th century and reached a climax at the end of the century with the proof of the Prime Number Theorem, a 100-year old problem about the distribution of prime numbers, thus launching the field of Analytic Number Theory. This course introduces students to many of the beautiful and powerful tools of Complex Function Theory and their applications to Number Theory and Fourier Analysis. Topics include complex differentiation, contour integration, Riemann’s Zeta function, and the Riemann Hypothesis.
Professor: Dr. John Zacharais
"Don't stop growing in your understanding, ever!"
Students:
(left to right)
(Back row) Paul Ahnn, Adam Thomas, Young Jae Kwon, Orien Altman, Alexander Hicks, Suyash Bhattarai, Chris Bolton, Matt Funkhouser, Bailey Willford, Alex Walhout, Dmitry Tislin, Rohan Dani
(Front row) Ally Johnson, Ann Collins, Hannah Han, Emily Dawes
(left to right)
(Back row) Paul Ahnn, Adam Thomas, Young Jae Kwon, Orien Altman, Alexander Hicks, Suyash Bhattarai, Chris Bolton, Matt Funkhouser, Bailey Willford, Alex Walhout, Dmitry Tislin, Rohan Dani
(Front row) Ally Johnson, Ann Collins, Hannah Han, Emily Dawes