Mohlo by se vám také líbit

Více informací o knize Complex Analysis in One Variable

• Parametry knihy
• Anotace
• Oblíbené z jiného soudku

Nákupem získáte 302 bodů

Anotace knihy

This book presents complex analysis in one variable in the context of modern mathematics, with clear connections to several complex variables, de Rham theory, real analysis, and other branches of mathematics. Thus, covering spaces are used explicitly in dealing with Cauchy's theorem, real variable methods are illustrated in the Loman-Menchoff theorem and in the corona theorem, and the algebraic structure of the ring of holomorphic functions is studied.§Using the unique position of complex analysis, a field drawing on many disciplines, the book also illustrates powerful mathematical ideas and tools, and requires minimal background material. Cohomological methods are introduced, both in connection with the existence of primitives and in the study of meromorphic functionas on a compact Riemann surface. The proof of Picard's theorem given here illustrates the strong restrictions on holomorphic mappings imposed by curvature conditions.§New to this second edition, a collection of over 100 pages worth of exercises, problems, and examples gives students an opportunity to consolidate their command of complex analysis and its relations to other branches of mathematics, including advanced calculus, topology, and real applications.

Parametry knihy

Zařazení knihy Knihy v angličtině Mathematics & science Mathematics Calculus & mathematical analysis

• Plný název: Complex Analysis in One Variable
• Autor: Raghavan Narasimhan, Yves Nievergelt
• Jazyk: Angličtina
• Vazba: Pevná
• Počet stran: 381
• EAN: 9780817641641
• ISBN: 0817641645
• ID: 02106218
• Nakladatelství: Birkhäuser
• Hmotnost: 744 g
• Rozměry: 235 × 155 × 23 mm
• Datum vydání: 26. June 2009

Oblíbené z jiného soudku

---

---

---