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＜電子ブック＞
Calculus: A Liberal Art / by W.M. Priestley
(Undergraduate Texts in Mathematics. ISSN:21975604)

版	2nd ed. 1998.
出版者	(New York, NY : Springer New York : Imprint: Springer)
出版年	1998
本文言語	英語
大きさ	XVII, 404 p : online resource
著者標目	*Priestley, W.M author SpringerLink (Online service)
件　名	LCSH:Mathematical analysis LCSH:Algebra FREE:Analysis FREE:Algebra
一般注記	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 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 HTTP:URL=https://doi.org/10.1007/978-1-4612-1658-2

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