Calculus from approximation to theory

Calculus from approximation to theory

by Sloughter, Daniel C.

Type Book
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Calculus from Approximation to Theory takes a fresh and innovative look at the teaching and learning of calculus. One way to describe calculus might be to say it is a suite of techniques that approximate curved things by flat things and through a limiting process applied to those approximations arrive at an exact answer. Standard approaches to calculus focus on that limiting process as the heart of the matter. This text places its emphasis on the approximating processes and thus illuminates the…

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Title Statements

  • Full title :Calculus from approximation to theory / Dan Sloughter.

Summary

Calculus from Approximation to Theory takes a fresh and innovative look at the teaching and learning of calculus. One way to describe calculus might be to say it is a suite of techniques that approximate curved things by flat things and through a limiting process applied to those approximations arrive at an exact answer. Standard approaches to calculus focus on that limiting process as the heart of the matter. This text places its emphasis on the approximating processes and thus illuminates the motivating ideas and makes clearer the scientific usefulness, indeed centrality, of the subject while paying careful attention to the theoretical foundations.

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Edition Statements

  • Publication Date:©2020

Publication Statements

The Physical Object

  • Description:1 online resource (ix, 571 pages)

Edition Identifiers

  • ISBN:9781470463052, 1470463059
  • oclc:on1227994976
  • LC Classification:QA300
  • Dewey Decimal:515

Table of Contents

Sequences and limits -- Functions and their properties -- Derivations and best affine approximations -- Integrals -- TayLor polynomials and series -- More transcendental functions -- The complex plane -- Differential equations.

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