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Inside Calculus By George R. Exner

Inside Calculus by George R. Exner

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Summary

Aimed at students who will study fields in which the understanding of calculus as a tool is not sufficient, the text uses the "spiral approach" of teaching, returning again and again to difficult topics, anticipating such returns across the calculus courses in preparation for the first analysis course.

Inside Calculus Summary

Inside Calculus by George R. Exner

The approach here relies on two beliefs. The first is that almost nobody fully understands calculus the first time around. The second is that graphing calculators can be used to simplify the theory of limits for students. This book presents the theoretical pieces of introductory calculus, using appropriate technology, in a style suitable to accompany almost any first calculus text. It offers a large range of increasingly sophisticated examples and problems to build an understanding of the notion of limit and other theoretical concepts. Aimed at students who will study fields in which the understanding of calculus as a tool is not sufficient, the text uses the "spiral approach" of teaching, returning again and again to difficult topics, anticipating such returns across the calculus courses in preparation for the first analysis course. Suitable as the "content" text for a transition to upper level mathematics course.

Table of Contents

Limits.- Continuity.- The Language of Theorems.- Theorems about Continuous functions.- Limit Proofs.- Limit Theorems.- Which Functions are Continuous?.- Derivatives.- Theorems about the Derivative.- Other Limits.

Additional information

NLS9781475774078
9781475774078
1475774079
Inside Calculus by George R. Exner
New
Paperback
Springer-Verlag New York Inc.
2013-03-17
212
N/A
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