Calculus: A Liberal Art
reason for delaying its study has to do with the question of mathematical maturity. * No use is made here of trigonometric, logarithmic, or exponential functions except in occasional optional material indicating how such functions can be handled. A perceptive remark made by George P6lya suggests how we can simultaneously learn mathematics and learn "about" mathematics-i.e., about the nature of mathematics and how it is developed: If the learning of mathematics reflects to any degree the invention of mathematics, it must have a place for guessing, for plausible inference. The reader will find plenty of opportunity here for guessing. The early chapters go at a gentle pace and invite the reader to enter into the spirit of the investigation. Exercises asking the reader to "make a guess" should be taken in this spirit-as simply an invitation to speculate about what is the likely truth in a given situation without feeling any pressure to guess "correctly". Readers will soon realize that a matter about which they are asked to guess will likely be a topic of serious discussion later on.
1119438199
Calculus: A Liberal Art
reason for delaying its study has to do with the question of mathematical maturity. * No use is made here of trigonometric, logarithmic, or exponential functions except in occasional optional material indicating how such functions can be handled. A perceptive remark made by George P6lya suggests how we can simultaneously learn mathematics and learn "about" mathematics-i.e., about the nature of mathematics and how it is developed: If the learning of mathematics reflects to any degree the invention of mathematics, it must have a place for guessing, for plausible inference. The reader will find plenty of opportunity here for guessing. The early chapters go at a gentle pace and invite the reader to enter into the spirit of the investigation. Exercises asking the reader to "make a guess" should be taken in this spirit-as simply an invitation to speculate about what is the likely truth in a given situation without feeling any pressure to guess "correctly". Readers will soon realize that a matter about which they are asked to guess will likely be a topic of serious discussion later on.
54.99 In Stock
Calculus: A Liberal Art

Calculus: A Liberal Art

by W.M. Priestley
Calculus: A Liberal Art

Calculus: A Liberal Art

by W.M. Priestley

Paperback(Second Edition 1998)

$54.99 
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Overview

reason for delaying its study has to do with the question of mathematical maturity. * No use is made here of trigonometric, logarithmic, or exponential functions except in occasional optional material indicating how such functions can be handled. A perceptive remark made by George P6lya suggests how we can simultaneously learn mathematics and learn "about" mathematics-i.e., about the nature of mathematics and how it is developed: If the learning of mathematics reflects to any degree the invention of mathematics, it must have a place for guessing, for plausible inference. The reader will find plenty of opportunity here for guessing. The early chapters go at a gentle pace and invite the reader to enter into the spirit of the investigation. Exercises asking the reader to "make a guess" should be taken in this spirit-as simply an invitation to speculate about what is the likely truth in a given situation without feeling any pressure to guess "correctly". Readers will soon realize that a matter about which they are asked to guess will likely be a topic of serious discussion later on.

Product Details

ISBN-13: 9781461272335
Publisher: Springer New York
Publication date: 10/23/2012
Series: Undergraduate Texts in Mathematics
Edition description: Second Edition 1998
Pages: 404
Product dimensions: 6.10(w) x 9.25(h) x 0.03(d)

Table of Contents

1. Tokens from the Gods Variables, Functions, and Limits.- 2. Rational Thoughts The Rise of Mathematics and the Liberal Arts.- 3. To Measure Is to Know More Pre-calculus Mathematics.- 4. Sherlock Holmes Meets Pierre de Fermat Derivatives.- 5. Optimistic Steps Techniques of Optimization.- 6. Chains and Change Instantaneous Rates.- 7. The Integrity of Ancient and Modern Mathematics Integrals and Antiderivatives.- 8. Romance in Reason Seventeenth-century Mathematics.- Appendices.- Answers to Selected Problems.
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