书目名称 | Calculus: A Liberal Art |
编辑 | William McGowen Priestley |
视频video | http://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 |
丛书名称 | Undergraduate Texts in Mathematics |
图书封面 |  |
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 |
关键词 | Derivative; Differentialrechnung; Integralrechnung; algebra; calculus; differential equation |
版次 | 2 |
doi | https://doi.org/10.1007/978-1-4612-1658-2 |
isbn_softcover | 978-1-4612-7233-5 |
isbn_ebook | 978-1-4612-1658-2Series ISSN 0172-6056 Series E-ISSN 2197-5604 |
issn_series | 0172-6056 |
copyright | Springer Science+Business Media New York 1998 |