Introduction to Mathematical Analysis I

Dublin Core


The lecture notes contain topics of real analysis usually covered in a 10-week course: the completeness axiom, sequences and convergence, continuity, and differentiation. The lecture notes also contain many well-selected exercises of various levels. Although these topics are written in a more abstract way compared with those available in some textbooks, teachers can choose to simplify them depending on the background of the students. For instance, rather than introducing the topology of the real line to students, related topological concepts can be replaced by more familiar concepts
such as open and closed intervals. Some other topics such as lower and upper semicontinuity, differentiation of convex functions, and generalized differentiation of non-differentiable convex functions can be used as optional mathematical projects. In this way, the lecture notes are suitable for teaching students of different backgrounds.


Beatriz Lafferriere
Gerardo Lafferriere
Nguyen Mau Nam


Portland State University Library  


Creative Commons


Introduction to Mathematical Analysis I - Second Edition.pdf



Beatriz Lafferriere, Gerardo Lafferriere, and Nguyen Mau Nam, “Introduction to Mathematical Analysis I,” Open Educational Resource (OER) , accessed February 26, 2021,

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