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A First Course in Mathematical Analysis
Mathematical Analysis (often called Advanced Calculus) is generally found by students
to be one of their hardest courses in Mathematics. This text uses the so-called sequential
approach to continuity, differentiability and integration to make it easier to understand
the subject.
Topics that are generally glossed over in the standard Calculus courses are given
careful study here. For example, what exactly is a ‘continuous’ function? And how
exactly can one give a careful definition of ‘integral’? This latter is often one of the
mysterious points in a Calculus course – and it is quite tricky to give a rigorous
treatment of integration!
The text has a large number of diagrams and helpful margin notes, and uses many
graded examples and exercises, often with complete solutions, to guide students
through the tricky points. It is suitable for self study or use in parallel with a standard
university course on the subject.
A First Course in
Mathematical
Analysis
DAVID ALEXANDER BRANNAN
Published in association with The Open University
