Partial Differential Equations
Opis
This self-contained text extends students' knowledge of differential equations, Fourier series, and separation variables. It focuses on the constructions of solutions of classic partial differential equations on the whole Euclidean space Rn. The book is suitable for students in pure mathematics, applied mathematics, physical sciences, and engineering-even those who have not followed the standard path of real analysis, complex analysis, and functional analysis. It offers numerous notes throughout on famous past mathematicians and includes exercises in each section.