Mathematical Problems : An Essay on Their Nature and Importance. 1st ed. 2020

種類:

電子ブック

責任表示:

by Craig Smoryński

出版情報:

Cham : Springer International Publishing : Imprint: Springer, 2020

著者名:

• Smoryński, Craig.
• SpringerLink (Online service)

ISBN:

9783030509170 [3030509176]    

注記:

1 Introduction -- 2 Logic Puzzles -- 3 Some Basic Mathematical Exercises -- 4 Probability -- 5 Graph Theory -- A Further Explorations -- Index.
The life and soul of any science are its problems. This is particularly true of mathematics, which, not referring to any physical reality, consists only of its problems, their solutions, and, most excitingly, the challenges they pose. Mathematical problems come in many flavours, from simple puzzles to major open problems. The problems stimulate, the stories of their successful solutions inspire, 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 philosophical approach, first dividing mathematical problems into three broad classes — puzzles, exercises, and open problems — and discussing their various roles in one’s mathematical education. Various chapters are devoted to discussing examples of each type of problem, along with their solutions an

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