REAL
ANALYSIS
AJIT KUMAR
S. KUMARESAN
12/6/13 9:08 AM
,A BASIC COURSE IN
REAL
ANALYSIS
,
, A BASIC COURSE IN
REAL
ANALYSIS
AJIT KUMAR
S. KUMARESAN
rigorous and comprehensive textbook designed to provide students with a solid foundation in the theory and techniques of real analysis. Written by experienced mathematicians, this book offers a clear and accessible introduction to the fundamental concepts of real analysis and their applications. This book covers a wide range of topics, starting with a thorough review of the real number system, including the completeness axiom and properties of real numbers. It then delves into the theory of limits and continuity, exploring concepts such as sequences, series, and convergence. The notion of differentiability is introduced, followed by an in-depth study of integration and its properties.
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