淡江大學機構典藏:Item 987654321/94259
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    Please use this identifier to cite or link to this item: https://tkuir.lib.tku.edu.tw/dspace/handle/987654321/94259


    Title: 支援分解因式的代數程式庫
    Other Titles: Algebraic library supporting polynomial factorization
    Authors: 何思賢;He, Sih-Sian
    Contributors: 淡江大學資訊管理學系碩士班
    廖賀田;Liaw, Heh-Tyan
    Keywords: Java;程式庫;計算機代數;LIBRARY;computer algebra
    Date: 2013
    Issue Date: 2014-01-23 14:13:56 (UTC+8)
    Abstract: 目前市面上雖有許多數學套裝軟體，但是價格都十分昂貴，因此本論文提出一套以Java語言實作之代數程式庫，目的是以支援高中數學課程。目前系統以能支援多項式、矩陣、複數、根數、有理數、整數、模n整數與有限體。
    本論文完成多項式的因式分解，目前可支援係數為有限體與整數的多項式系統；本程式庫能判斷佈於有限體的多項式是否為不可分解多項式；在不同數值型態之間能互相轉換，使其能相互運算；也實做了複數、有限體和一些計算機代數書籍中的演算法。



    關鍵字：java, 程式庫, 計算機代數
    This paper presents an algebraic library in java. The primary purpose of the library is supporting senior high school mathematics course.
    The scope of this library includes: (1) factorization of polynomials with rational coefficients, (2) determine the irreducibility of polynomials over finite fields, (3) element casting among different algebraic systems, (4) radical numbers, (5) some algorithms in computer algebra.
    Appears in Collections:[Graduate Institute & Department of Information Management] Thesis

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