New Era in Teaching Calculus :
The third edition of this text is being published at the start of an exciting
new era in teaching calculus. Calculus instructors widely agree that this decade
will see changes in the way calculus is taught. But leaders in calculus reform
are moving in different directions, and it is not clear what the changes will
finally be. While experiments are conducted at a number of colleges, the
teaching of calculus for the most part adheres to traditional syllabi, with
forays in some new directions. While ours is a "traditional" calculus
text, we felt it important in this edition to take initial steps into the realm
of the "new calculus" by including explorations in the use of graphing
calculators and computers.
Continuing Features :
In our first edition we set out to write a straightforward, mathematically sound
book that would nevertheless capture the interest of students. We felt-and still
feel- that there is a place for a mature, mainstream text with the readability
and practicality usually associated with lower-level books. The text can readily
adapt to either semester or quarter systems. There is flexibility in the order
and depth in which the material can be presented. As before, we present concepts
in both theorem- proof style and in the vernacular. We have often found that
when students are presented with an alternative explanation, a mental block is
unlocked and better appreciation of the material Explanations in plain
English also serve to provide the qualitative perspective from which analysis
must at times be viewed.
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