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" Calculus: A Liberal Art "
by William McGowen Priestley.
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BL
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573575
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b402794
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| Main Entry
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Priestley, William McGowen.
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| Title & Author
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Calculus: A Liberal Art\ by William McGowen Priestley.
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| Edition Statement
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Second Edition.
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| Publication Statement
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New York, NY :: Springer New York :: Imprint: Springer,, 1998.
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| Series Statement
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Undergraduate Texts in Mathematics,
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| ISBN
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9781461216582
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: 9781461272335
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| Contents
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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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| Abstract
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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" 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.
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Mathematics.
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Algebra.
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Global analysis (Mathematics).
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SpringerLink (Online service)
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