Titlebook: Discovering Mathematics with Maple; An interactive explo Roelof J. Stroeker,Johan F. Kaashoek Textbook 1999 Springer Basel AG 1999 Algebra.

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A Tour of Maple V, we shall discover how to deal with basic concepts and techniques such as giving instructions to the computer, correcting errors in input lines, reading input and writing output files, and we shall get acquainted with first principles of Maple’s programming language. For the time being we shall mere

步兵

VEIL

Matrices and Vectors,eave Analysis for the moment; in a later chapter we shall return to it with topics like differentiation and integration of mathematical functions. Although the present chapter is not of an analytic nature, what we have learned so far, especially about functions, will be rather useful to us in this c

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Counting and Summation,all focus on another field of application. In contrast to the continuous (or limit) processes we have encountered so far, in the present chapter we shall work with finite processes such as ordinary counting. We shall have occasion to look into the ways Maple can assist us with counting and summation

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Vector Spaces and Linear Mappings, be focused on the abstract structure of vector spaces and linear mappings (or linear transformations) between them. Vectors—the elements of a vector space—do not need to be ordered lists of numbers, polynomials can also be viewed as vectors. Of course, matrices continue to play a prominent role, na

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over, advanced mathematical ed- ucation, be it for mathematics itself or for mathematical statistics, operations research and other branches of applied mathematics, can greatly profit from the large amount of non-trivial mathematical knowledge that is stored in a computer algebra system. Admittedly, the fact 978-3-7643-6091-7978-3-0348-8726-7

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stage in their curriculum. As no textbook available at the time met our requirements as to content and presentation, we had no other choice than to write our own course material. The try-out on a group of 80 first year students was not without success, and after adding some necessary modifications,

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Strategies for Knowledge Elicitationspace—do not need to be ordered lists of numbers, polynomials can also be viewed as vectors. Of course, matrices continue to play a prominent role, namely as representations of linear mappings between vector spaces with predetermined bases.