Title
Calculus: A Liberal Art (Undergraduate Texts in Mathematics),Used
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reason for delaying its study has to do with the question of mathematical maturity. * No use is made here of trigonometric, logarithmic, or expo 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' mathematicsi.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 spiritas 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.
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