The Real Numbers.- Sequences in R.- Numerical Series.- Continuity.- The Derivative.- Sequence and Series of Functions.- The Riemann Integral.- Lebesgue Measure on R.- Lebesgue Integration.
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Matthew A. Pons is Associate Professor of Mathematics at North Central College.
From the book reviews:
“This book is more than just an excellent introduction to real analysis at the undergraduate level. It also provides the basis for students to gain some experience in measure theory, Lebesgue integration, and functional analysis. ... Summing Up: Highly recommended. Upper-division undergraduates and above.” (D. P. Turner, Choice, Vol. 52 (2), October, 2014)
“This book contains a reasonably complete exposition of real analysis theory which is needed for beginning undergraduate-level students. It includes basic material connected with this topic as well as more advanced problems. ... All the topics are presented thoroughly. The book includes nice graphic illustrations of the problems considered.” (Ryszard J. Paẇlak, Mathematical Reviews, September, 2014)
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