Advanced analysis

Dr. Jiahang Che

Mi. 8:30 - 10:00 in A5,6 C116

Fr.  8:30 - 10:00 in A5,6 C116

Tutorial:  Fr. 10:15-11:45 in B6 A204 

Content: This course will start with basic knowledge of real analysis, includes measure and integration, then we will go into some advanced topics in analysis, such as L^p spaces, distributions, the Fourier transform, Sobolev spaces and related inequalities. These are necessary knowledges in modern PDE theories and their applications (for example, in physics, biology and economy).

Language: English.

Prerequisites: Linear algebra I, Analysis I,II.

It is a master course, however, all bachelor students who have already "Analysis I and II" are welcome to join.

Reference:

E. H. Lieb and M. Loss, Analysis, Graduate Studies in Mathematics, V. 14, American Mathematical Society Providence, Rhode Island, 2nd edition. 2001.

W. Rudin, Real and complex analysis. Third Edition.