02415cam a22003855i 4500 21675858 KE-MeUCS 20210126124859.0 m |o d | cr ||||||||||| 181104s2018 si |||| o |||| 0|eng 2019743783 9789811309380 10.1007/978-981-13-0938-0 doi (DE-He213)978-981-13-0938-0 DLC eng pn rda DLC MAT034000 bisacsh PBK bicssc PBK thema 515 23 Sinha, Rajnikant. author. Real and Complex Analysis : Volume 1 / by Rajnikant Sinha. 1st ed. 2018. 1 online resource (IX, 637 pages) 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 Functions. 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 centuries. Analysis (Mathematics). Mathematical analysis. 1802 Analysis. 4728 Print version: Real and complex analysis. 9789811309373 (DLC) 2018945438 Printed edition: 9789811309373 Printed edition: 9789811309397 0 ibc origres u ncip 20 y-gencatlg lcc BK JK 87231 87230 0 0 lcc 0 0 CPL CPL GEN 2021-01-26 CC 12164.00 JK 0 QA300 .S56 2018 21-33963 2021-01-26 00:00:00 2021-01-26 BK 0 0 lcc 0 0 CPL CPL GEN 2021-01-26 CC 12164.00 JK 0 QA300 .S56 2018 21-33964 2021-01-26 00:00:00 2021-01-26 BK