In the second half of 2015, the American Math Society will publish a five volume (total about 3200 pages) set of books that is a graduate analysis text with lots of additional bonus material. Included are hundreds of problems and copious notes which extend the text and provide historical background. Efforts have been made to find simple and elegant proofs and to keeping the writing style clear
Part 1 Real Analysis:
Point Set Topology, Banach and Hilbert Space, Measure Theory, Fourier Series and Transforms, Distribution Theory, Locally Convex Spaces, Basics of Probability Theory, Hausdorff Measure and Dimension.
Part 2a Basic Complex Analysis:
Cauchy Integral Theorem, Consequences of the Cauchy Integral Theorem (including holomorphic iff analytic, Local Behavior, Phragmén-Lindelöf, Reflection Principle, Calculation of Integrals), Montel, Vitali and Hurwitz’s Theorems, Fractional Linear Transformations, Conformal Maps, Zeros and Product Formulae, Elliptic Function من هم ریاضیدانم...
ادامه مطلبما را در سایت من هم ریاضیدانم دنبال می کنید
برچسب : a comprehensive course in analysis by barry simon, نویسنده : 7aslaniismaelc بازدید : 131 تاريخ : پنجشنبه 25 آذر 1395 ساعت: 6:55