EAN: 9783319803456

UNDERGRADUATE TEXTS IN MATHEMATICS INTRODUCTI...

This text is intended for an honors calculus course or for an introduction to analysis.
Involving rigorous analysis  computational dexterity  and a breadth of applications  it is
ideal for undergraduate majors. This third edition includes corrections as well as some
additional material. Some features of the text: The text is completely self-contained and
starts with the real number axioms  There is a heavy emphasis on computational problems  There
are applications from many parts of analysis  e.g.  convexity  the Cantor set  continued
fractions  the AGM  the theta and zeta functions  and many more  Traditionally transcendentally
presented material  such as infinite products  the Bernoulli series  and the zeta functional
equation  is developed over the reals  There are 385 problems with all the solutions at the
back of the text.

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