书目名称 | Maple and Mathematica | 副标题 | A Problem Solving Ap | 编辑 | Inna K. Shingareva,Carlos Lizárraga-Celaya | 视频video | | 概述 | Side by side comparisons of practical solutions of the two computer algebra programs, Maple and Mathematica.First book to give a handy reference for these popular systems | 图书封面 |  | 描述 | 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 operation | 出版日期 | Book 2009Latest edition | 关键词 | Algebra Software; Analysis; Computer Algebra Systems; Maple; Mathematica; Problem Solving; linear algebra | 版次 | 2 | doi | https://doi.org/10.1007/978-3-211-99432-0 | isbn_softcover | 978-3-211-99431-3 | isbn_ebook | 978-3-211-99432-0 | copyright | Springer-Verlag Vienna 2009 |
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