Thirty years ago mathematical, as opposed to applied numerical, computation was difficult to perform and so relatively little used. Three threads changed that: the emergence of the personal computer; the discovery of fiber-optics and the consequent development of the modern internet; and the building of the Three “M’s” Maple, Mathematica and Matlab.
We intend to persuade that Mathematica and other similar tools are worth knowing, assuming only that one wishes to be a mathematician, a mathematics educator, a computer scientist, an engineer or scientist, or anyone else who wishes/needs to use mathematics better. We also hope to explain how to become an "experimental mathematician" while learning to be better at proving things. To accomplish this our material is divided into three main chapters followed by a postscript. These cover elementary number theory, calculus of one and several variables, introductory linear algebra, and visualization and interactive geometric computation.
Most Helpful Customer Reviews
An Introduction to Modern Mathematical Computing with Mathematica" by Borwein and Skerritt, aims to show how you can improve your understanding of mathematics by experimenting in a Computer Algebra System (CAS). It uses Mathematica (there's a Maple version available). The book picks three areas of (lower division college) math to work with - Elementary number theory (including tastes of the Fibonacci sequence, perfect numbers and amicable pairs, continued fractions, and the sieve of Eratosthenes), Calculus (with tastes of limits, differentiation, integration, differential equations, and surfaces and volumes of rotation), and linear algebra - and uses a tutorial style to demonstrate how to use a CAS to perform experiments, to compute things in multiple ways to enhance your understanding of the relationships between different mathematical...
Great book as an introduction to mathematica book to work through.
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