Introduction to Experimental Mathematics

Author: Wang Weiping
Publisher:
Publish Date: 2004-08-01
Features: This book mainly includes the following content: an introduction to the ideas of experimental mathematics, experimental learning of exponential functions, logarithmic functions, power functions, and complex numbers, the study of sequences under the concept of difference, first-order linear difference equations and their applications in daily life, numerical and graphical solutions of first-order nonlinear difference equations, a review of the 2,000-year calculation history of pi, and some interesting number theory problems: continued fractions, conversion between fractions and decimals, and the arrangement patterns of digits in repeating decimals. "Encountering Pisot Numbers" can be considered a sample of a mathematical essay, and "Mathematica Software Usage Experience" is the author's insights gained from using the software. Additionally, an appendix is included: an introduction to Mathematica software, providing readers with essential knowledge about mathematical software. The book also touches on a bit of chaos and fractals, though without a separate chapter, as these topics are naturally introduced from the aforementioned problems. This book is suitable for secondary school teachers involved in mathematics education reform and students and faculty of normal universities.