Maple and Mathematica

A Problem Solving Approach for Mathematics

Produkt bewerten

Inna K. Shingareva

▪Carlos Lizárraga-Celaya

Verlag:

Springer Verlag

Unsere-Artikel-Nr.: 5E38L7L

EAN: 9783211994313

Erhältlich:

Nicht auf Lager

Zustellung: Fr, 18.09.2026

Versand: Kostenlos

-14.8 %

CHF 108.–

CHF 92.–

Beschreibung

In the history of mathematics there are many situations in which cal- lations were performed incorrectly for important practical applications. Let us look at some examples, the history of computing the number. began in Egypt and Babylon about 2000 years BC, since then many mathematicians have calculated. (e. g. , Archimedes, Ptolemy, Vi` ete, etc. ). The. rst formula for computing decimal digits of. was disc- ered by J. Machin (in 1706), who was the. rst to correctly compute 100 digits of. Then many people used his method, e. g. , W. Shanks calculated. with 707 digits (within 15 years), although due to mistakes only the. rst 527 were correct. For the next examples, we can mention the history of computing the. ne-structure constant. (that was. rst discovered by A. Sommerfeld), and the mathematical tables, exact - lutions, and formulas, published in many mathematical textbooks, were not veri. ed rigorously [25]. These errors could have a large e. ect on results obtained by engineers. But sometimes, the solution of such problems required such techn- ogy that was not available at that time. In modern mathematics there exist computers that can perform various mathematical operations for which humans are incapable. Therefore the computers can be used to verify the results obtained by humans, to discovery new results, to - provetheresultsthatahumancanobtainwithoutanytechnology. With respectto our example of computing. , we can mention that recently (in 2002) Y. Kanada, Y. Ushiro, H. Kuroda, and M.

Spezifikationen

Sprache

Englisch

Autor

Inna K. Shingareva
Carlos Lizárraga-Celaya

Thema

Mathematische Numerik: Allgemein
Angewandte Mathematik: Angewandte Mathematik
PC/Internet: Mathematik & Statistik
Informatik: Theoretische Informatik
Künstliche Intelligenz: Allgemein

Zielgruppe

Graduate

Auflage

Erscheinungsjahr

2009

Erscheinungsland

Österreich

Format

Mehrteilig

Anzahl Seiten