دانلود کتاب راهنمای تحلیل پیچیده

Despite being nearly 500 years old, with work dating back to Cardano, Euler, Gauss, Cauchy, Riemann, and many others, the subject of complex analysis is still today a vital and active part of the mathematical sciences. In addition to all the exciting theoretical work being done today, there are important applications to physics, engineering, cosmology, and other aspects of technology. Many of the world’s most distinguished and accomplished mathematicians conduct research in complex analysis. Several recent Fields Medalists study complex analysis. Although a venerable subject, complex analysis continues to grow and prosper. New directions of development in the subject include dynamical systems, quasiconformal mappings, harmonic measure, automorphism groups, and the list can go on at some length. One of the sources of strength for the subject is its interaction with diverse parts of mathematics, including differential geometry, partial differential equations, functional analysis, algebra, combinatorics, and many other aspects of the subject. This Handbook of Complex Analysis presents contributed chapters by several distinguished mathematicians, including a new generation of researchers. More than a compilation of recent results, this book offers a stepping stone for students to gain entry into the professional life of complex analysis. The essays presented here are all accessible to graduate students but will also be of considerable interest to the seasoned mathematician. Classes and seminars, of course, play a role in the maturation process that we are describing. But more is needed for the unilateral study. This handbook will play such a role.