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Shingareva I., Lizarraga-Celaya C. — Maple and mathematica. A problem solving approach for mathematics
Shingareva I., Lizarraga-Celaya C. — Maple and mathematica. A problem solving approach for mathematics

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Название: Maple and mathematica. A problem solving approach for mathematics

Авторы: Shingareva I., Lizarraga-Celaya C.

Аннотация:

In the history of mathematics there are many situations in which calculations
were performed incorrectly for important practical applications.
Let us look at some examples, the history of computing the number π
began in Egypt and Babylon about 2000 years BC, since then many
mathematicians have calculated π (e.g., Archimedes, Ptolemy, Vi`ete,
etc.). The first formula for computing decimal digits of π was discovered
by J. Machin (in 1706), who was the first to correctly compute
100 digits of π. Then many people used his method, e.g., W. Shanks
calculated π with 707 digits (within 15 years), although due to mistakes
only the first 527 were correct. For the next examples, we can mention
the history of computing the fine-structure constant α (that was first
discovered by A. Sommerfeld), and the mathematical tables, exact solutions,
and formulas, published in many mathematical textbooks, were
not verified rigorously [25]. These errors could have a large effect on
results obtained by engineers.


Язык: en

Рубрика: Математика/

Статус предметного указателя: Неизвестно

ed2k: ed2k stats

Издание: 2nd edition

Год издания: 2009

Количество страниц: 483

Добавлена в каталог: 24.11.2010

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