书目名称 | Mathematical Problems | 副标题 | An Essay on Their Na | 编辑 | Craig Smoryński | 视频video | | 概述 | Discusses the natural progression of problems from puzzles to research projects.Provides compelling historical background.Includes lots of interesting exercises, some of which for calculators.Includes | 图书封面 |  | 描述 | The life and soul of any science are its problems. This is particularly trueof mathematics, which, not referring to any physical reality, consists only ofits problems, their solutions, and, most excitingly, the challenges they pose.Mathematical problems come in many flavours, from simple puzzles to majoropen problems. The problems stimulate, the stories of their successful solutionsinspire, and their applications are wide..The literature abounds with books dedicated to mathematical problems — collections of problems, hints on how to solve them, and even histories of the paths to the solutions of some famous ones. The present book, aimed at the proverbial “bright high-school student”, takes a different, more philosophicalapproach, first dividing mathematical problems into three broad classes —puzzles, exercises, and open problems — and discussing their various rolesin one’s mathematical education. Various chapters are devoted to discussingexamples of each type of problem, along with their solutions and some of thedevelopments arising from them. For the truly dedicated reader, more involvedmaterial is offered in an appendix..Mathematics does not exist in a vacuum, whence the author p | 出版日期 | Book 2020 | 关键词 | Mathematical problems; Tower of Hanoi; Fibonacci numbers; Logic; Graph theory; Probability; Mathematical r | 版次 | 1 | doi | https://doi.org/10.1007/978-3-030-50917-0 | isbn_softcover | 978-3-030-50919-4 | isbn_ebook | 978-3-030-50917-0 | copyright | Springer Nature Switzerland AG 2020 |
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