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Titlebook: Calculus: A Liberal Art; William McGowen Priestley Textbook 1998Latest edition Springer Science+Business Media New York 1998 Derivative.Di

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發(fā)表于 2025-3-21 18:17:43 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱Calculus: A Liberal Art
編輯William McGowen Priestley
視頻videohttp://file.papertrans.cn/221/220892/220892.mp4
概述With only a modest amount of high school mathematics required as background and algebraic manipulations kept at a simple level (except for optional material giving stronger students brief glimpses for
叢書名稱Undergraduate Texts in Mathematics
圖書封面Titlebook: Calculus: A Liberal Art;  William McGowen Priestley Textbook 1998Latest edition Springer Science+Business Media New York 1998 Derivative.Di
描述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.
出版日期Textbook 1998Latest edition
關鍵詞Derivative; Differentialrechnung; Integralrechnung; algebra; calculus; differential equation
版次2
doihttps://doi.org/10.1007/978-1-4612-1658-2
isbn_softcover978-1-4612-7233-5
isbn_ebook978-1-4612-1658-2Series ISSN 0172-6056 Series E-ISSN 2197-5604
issn_series 0172-6056
copyrightSpringer Science+Business Media New York 1998
The information of publication is updating

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發(fā)表于 2025-3-21 22:19:30 | 只看該作者
Textbook 1998Latest editionExercises 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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Robert H. Bonneau,John Hunzekers of a curve may easily be found. Those readers may scan these short chapters quickly and jump into Chapter 4 if they wish, but they are warned that flat-footed jumps are awkward without a firm foundation from which to leap. Studying history builds foundations.
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W. von Seelen,H. A. Mallot,F. Giannakopoulosch may be surprising. In this chapter we shall learn more about the use of derivatives in solving optimization problems. To do this efficiently, the major part of the chapter is concentrated upon the development of shortcut rules for finding derivatives.
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