Discovering Mathematics With Maple
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Discovering Mathematics with Maple
his book grew out of the wish to let students of econometrics get acquainted T with the powerful techniques of computer algebra at an early 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, the same material was presented to a new group of students of similar size the year after. Some more adjustments were made, and the final result now lies before you. Working with computer algebra packages like Derive, Mathematica, and Maple over many years convinced us of the favourable prospects of computer algebra as a means of improving the student's understanding of the difficult concepts on which mathematical techniques are often based. Moreover, 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 remains that many a tough mathematical problem, such as solving a complicated non-linear system or obtaining a finite ex pression for a multiple parameter integral, can not easily be handled by computer algebra either, if at all.
Discovering Mathematics with Maple
Author: R.J. Stroeker
language: en
Publisher: Springer Science & Business Media
Release Date: 1999-04-01
This unusual introduction to Maple shows readers how Maple or any other computer algebra system fits naturally into a mathematically oriented work environment. Designed for mathematicians, engineers, econometricians, and other scientists, this book shows how computer algebra can enhance their theoretical work. A CD-ROM contains all the Maple worksheets presented in the book.
Discovering Mathematics
Author: Jiří Gregor
language: en
Publisher: Springer Science & Business Media
Release Date: 2010-12-21
The book contains chapters of structured approach to problem solving in mathematical analysis on an intermediate level. It follows the ideas of G.Polya and others, distinguishing between exercises and problem solving in mathematics. Interrelated concepts are connected by hyperlinks, pointing toward easier or more difficult problems so as to show paths of mathematical reasoning. Basic definitions and theorems can also be found by hyperlinks from relevant places. Problems are open to alternative formulations, generalizations, simplifications, and verification of hypotheses by the reader; this is shown to be helpful in solving problems. The book presents how advanced mathematical software can aid all stages of mathematical reasoning while the mathematical content remains in foreground. The authors show how software can contribute to deeper understanding and to enlarging the scope of teaching for students and teachers of mathematics.