Maple 是一套功能非常強大的數學軟體,它不但可以做數學上的符號運算和數值運算,更可以做矩陣運算、2D 和 3D 的繪圖。因此運用 Maple可以處理大部份複雜的的數學運算、數值計算,符號計算以及解方程式是Maple 的三大功能。在Maple中有上千個內建數學命令,函數可供您直接取用,就像是功能超強的電子計算機。
Maple 號稱有超過2500個指令,而Mathematica約有1000 個,其中常見的數值計算功能為算術(Arithmetric)、精確解(Exact Solution)、數值 近似(Numerical Approximation)、複數(Complex numbers)、數根(Find Roots)、特殊函數( Special Functions)、及數值積分(Numerical Integration)。Maple 是最早應用人工智慧來進行符號計算的先進數學系統之一。它所提供的工具相當完備,系統原始的解題能力更是強大。
Maple符號計算的能力使我們可以像寫作業般一步一步地解決複雜的公式推導,而這正是傳統程式語言難以完成的部分。此外,Maple最特殊,最優越的一點就是它能善用疊代原理,將符號運算結果整理得非常簡潔,易於瞭解與處理,這點是其他相似軟體遠遠不及之處。常見的符號運算有代數(Algebra)、微 積分(Calculus)、級數展開(Series Expansion)等等。解方程式是解題時常有的需要,不管是數值或符號方程式,或一般多項式,或微分方程式,常常為了求出一簡單的解而耗時甚久。Maple這個數學軟體計對此狀況,提供了整合性的解方程式的函數,讓您在面對一般形式之方程式時,可以很快求得適當解,至於較複雜的形式,則可以數值方法來求出。常見的解方程式則有解代數方程式(Algebraic equations)、不可解之方程式(Insoluble equations)、超越方程式(Tran-scendental equations)、微分方程式(Differential equations)、常微分方程式之數值解(The numeric solution of ODE)。
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AI Formula Assistant
Get the formulas and equations you need with the help of powerful AI technology. In response to your search, you will get a choice of relevant options, explanations as to what each one is for and what the parameters represent, and an easy way to insert the selected formula into your document as a Maple expression.
Commands Just Got Easier
By popular request! With Maple 2024, you can call even unfamiliar commands correctly on the first try, without having to consult the help pages to get the right arguments in the right order. Just enter the command with the help of command completion, then automatic argument completion takes over to guide you through the rest.
Cutting Edge Complex Solvers
New cutting-edge algorithms enable Maple to find and approximate all complex roots of multivariate polynomial systems and guarantee the accuracy of the results, and to solve the univariate case significantly faster.
Check My Work
The Check My Work feature, which analyses each step of a student’s fully worked solution and helps them identify where they went wrong, has been expanded to also cover problems in factoring, simplification, and limits.
Simplify Made (Even More) Simple
The simplify command now expresses many trigonometric expressions more simply by using the full range of standard trig functions, rather than writing everything in terms of sin and cos.
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