Calculus: A Liberal Art (eBook)

W.M. Priestley (Autor)

eBook Download: PDF

2012
Springer New York (Verlag)
978-1-4612-1658-2 (ISBN)

Infos

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 "e;about"e; 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 "e;make a guess"e; 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 "e;correctly"e;. Readers will soon realize that a matter about which they are asked to guess will likely be a topic of serious discussion later on.

Produkt-Details

• Erscheint lt. Verlag: 6.12.2012
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik ► Algebra
• Themenwelt: Mathematik / Informatik ► Mathematik ► Analysis
• ISBN-10: 1-4612-1658-3 / 1461216583
• ISBN-13: 978-1-4612-1658-2 / 9781461216582