Mathematics Program Presents
The Convergence of Fourier Series
Tuesday, November 2, 2021
Hegeman 102
4:00 pm – 5:00 pm EDT/GMT-4
4:00 pm – 5:00 pm EDT/GMT-4
Amalia Culiuc, Amherst College
In 1807, Jean-Baptiste Joseph Fourier's study of the theory and flow of heat led to the publication of his "Mémoire sur la propagation de la chaleur dans les corps solides" (Treatise on the propagation of heat in solid bodies). This work, which introduced the notion of representing continuous functions in terms of sums of trigonometric functions, continues to be celebrated today as a foundational collection of ideas for the modern mathematical field of harmonic analysis. With applications ranging from signal processing to medical imaging, Fourier theory remains an active area of research to this day. In this talk we will give a brief introduction to Fourier series, their convergence properties, and the beautiful mathematics they helped create. No background beyond a second semester calculus course will be assumed.For more information, call 845-758-7191, or e-mail [email protected].
Time: 4:00 pm – 5:00 pm EDT/GMT-4
Location: Hegeman 102