Introduction to Experimental Mathematics (Cambridge Mathematical Textbooks)

Mathematics is not, and never will be, an empirical science, but mathematicians are finding that the use of computers and specialized software allows the generation of mathematical insight in the form of conjectures and examples, which pave the way for theorems and their proofs. In this way, the experimental approach to pure mathematics is revolutionizing the way research mathematicians work. As the first of its kind, this book provides material for a one-semester course in experimental mathematics that will give students the tools and training needed to systematically investigate and develop mathematical theory using computer programs written in Maple. Accessible to readers without prior programming experience, and using examples of concrete mathematical problems to illustrate a wide range of techniques, the book gives a thorough introduction to the field of experimental mathematics, which will prepare students for the challenge posed by open mathematical problems.

數學不是，也永遠不會是一門經驗主義科學，但數學家們發現使用電腦和專門的軟體可以生成數學洞察力，以猜想和例子的形式為定理及其證明鋪平道路。通過這種方式，對純數學的實驗方法正在革新研究數學家的工作方式。作為首部此類書籍，本書提供了一學期的實驗數學課程材料，將為學生提供使用Maple編寫的電腦程式系統地研究和發展數學理論的工具和培訓。本書對於沒有編程經驗的讀者也易於理解，並使用具體數學問題的例子來說明各種技術，全面介紹了實驗數學領域，為學生們應對開放性數學問題的挑戰做好了準備。