Rami Shakarchi Books

The second volume delves into the fascinating realm of complex analysis, showcasing the elegance of holomorphic functions through foundational theorems like the Cauchy theorems and residues. It explores analytic continuation and the argument principle, while also bridging connections to other mathematical fields. Topics include the Fourier transform via contour integration, the zeta function in relation to the prime number theorem, and an introduction to elliptic functions, highlighting their applications in combinatorics and number theory.

"This book covers such topics as Lp spaces, distributions, Baire category, probability theory and Brownian motion, several complex variables and oscillatory integrals in Fourier analysis. The authors focus on key results in each area, highlighting their importance and the organic unity of the subject"--Provided by publisher.

. Publishing Pub Date :2012-12-01 311 The World Publishing Company Fourier Analysis Introduction - version of the original 59 yuan (U.S.) Stein book World Book Publishing Company published Date :2012-12-1