Calculus - A Liberal Art
โ W. Priestley
๐ Library
๐
1988
๐ Springer
๐ English
โฆ LIBER โฆ
๐
Calculus: A Liberal Art
โ Scribed by William McGowen Priestley (auth.)
- Publisher
- Springer-Verlag New York
- Year
- 1998
- Tongue
- English
- Leaves
- 419
- Series
- Undergraduate Texts in Mathematics
- Edition
- 2
- Category
- Library
โฌ Acquire This Volume
No coin nor oath required. For personal study only.
โฆ Synopsis
reason for delaying its study has to do with the question of mathematical maturity. * No use is made here of trigonometric, logarithmic, or expoยญ nential 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.
โฆ Table of Contents
Front Matter....Pages i-xvii
Tokens from the Gods....Pages 1-32
Rational Thoughts....Pages 33-74
To Measure Is to Know....Pages 75-112
Sherlock Holmes Meets Pierre de Fermat....Pages 113-151
Optimistic Steps....Pages 152-186
Chains and Change....Pages 187-232
The Integrity of Ancient and Modern Mathematics....Pages 233-285
Romance in Reason....Pages 286-317
Back Matter....Pages 318-404
โฆ Subjects
Analysis; Algebra
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