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Real and Complex Analysis : Volume 1 / Rajnikant Sinha

By: Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Series: SpringerLink BücherPublisher: Singapore : Springer, [2018]Copyright date: © 2018Description: Online-Ressource (IX, 637 Seiten) : Illustrationen, DiagrammeISBN:
  • 9789811309380
Subject(s): Additional physical formats: 9789811309373 | 9789811309397 | Erscheint auch als: 9789811309373 Druck-Ausgabe | Erscheint auch als: 9789811309397 Druck-AusgabeDDC classification:
  • 515
LOC classification:
  • QA299.6-433
DOI: DOI: 10.1007/978-981-13-0938-0Online resources: Summary: This is the first volume of the two-volume book on real and complex analysis. This volume is an introduction to measure theory and Lebesgue measure where the Riesz representation theorem is used to construct Lebesgue measure. Intended for undergraduate students of mathematics and engineering, it covers the essential analysis that is needed for the study of functional analysis, developing the concepts rigorously with sufficient detail and with minimum prior knowledge of the fundamentals of advanced calculus required. Divided into three chapters, it discusses exponential and measurable functions, Riesz representation theorem, Borel and Lebesgue measure, -spaces, Riesz-Fischer theorem, Vitali-Caratheodory theorem, the Fubini theorem, and Fourier transforms. Further, it includes extensive exercises and their solutions with each concept. The book examines several useful theorems in the realm of real and complex analysis, most of which are the work of great mathematicians of the 19th and 20th centuriesSummary: Chapter 1. Lebesgue Integration -- Chapter 2. Lp-Spaces -- Chapter 3. Fourier Transforms -- Chapter 4. Holomorphic and Harmonic Functions -- Chapter 5. Conformal Mapping -- Chapter 6. Analytic Continuation -- Chapter 7. Special FunctionsPPN: PPN: 1040279252Package identifier: Produktsigel: ZDB-2-SEB | ZDB-2-SMA | ZDB-2-SXMS
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