{"product_id":"advanced-complex-analysis-a-comprehensive-course-in-analysis-part-2b-9781470437770","title":"Advanced Complex Analysis: A Comprehensive Course in Analysis, Part 2B","description":"\u003cp\u003e • Author(s): Barry Simon\u003cbr\u003e • Publisher: Orient Blackswan Pvt Ltd\u003cbr\u003e • Publisher Imprint: Orient Blackswan Pvt Ltd\u003cbr\u003e\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003cem\u003eA Comprehensive Course in Analysis \u003c\/em\u003eby Poincaré Prize winner Barry Simon is a five-volume set that can serve as a graduate-level analysis textbook with a lot of additional \u003cem\u003ebonus \u003c\/em\u003einformation, including hundreds of problems and numerous notes that extend the text and provide important historical background. Depth and breadth of exposition make this set a valuable reference source for almost all areas of classical analysis.\u003cbr\u003e Part 2B provides a comprehensive look at a number of subjects of complex analysis not included in Part 2A. Presented in this volume are the theory of conformal metrics (including the Poincaré metric, the Ahlfors-Robinson proof of Picard's theorem, and Bell’s proof of the Painlevé smoothness theorem), topics in analytic number theory (including Jacobi's two- and foursquare theorems, the Dirichlet prime progression theorem, the prime number theorem, and the Hardy-Littlewood asymptotics for the number of partitions), the theory of Fuchsian differential equations, asymptotic methods (including Euler’s method, stationary phase, the saddle-point method, and the WKB method), univalent functions (including an introduction to SLE), and Nevanlinna theory. The chapters on Fuchsian differential equations and on asymptotic methods can be viewed as a minicourse on the theory of special functions. \u003c\/p\u003e","brand":"Orient Blackswan Pvt Ltd","offers":[{"title":"Paperback","offer_id":45616474620055,"sku":"9781470437770","price":1380.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9781470437770.webp?v=1769294889","url":"https:\/\/atlanticbooks.com\/products\/advanced-complex-analysis-a-comprehensive-course-in-analysis-part-2b-9781470437770","provider":"Atlantic Books","version":"1.0","type":"link"}