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Introduction to Mathematical Analysis I

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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.

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Detail Information

Series Title

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Call Number

515 LAF i

Publisher

: Portland State University Library., 2016

Collation

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Language

English

ISBN/ISSN

9781365605529

Classification

515

Content Type

text

Media Type

computer

Carrier Type

online resource

Edition

-

Subject(s)

Mathematical analysis
Foundations

Specific Detail Info

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Statement of Responsibility

Beatriz Lafferriere, Gerardo Lafferriere, Mau Nam Nguyen

Other Information

Cataloger

Taufik

Source

-

Validator

maya

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