Trinh @ Bath

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it_cas [2026/04/16 09:53]
trinh
it_cas [2026/04/16 11:05] (current)
trinh
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 +~~NOTOC~~
 ====== Computer Algebra Systems (CAS) ====== ====== Computer Algebra Systems (CAS) ======
  
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   * There is no good open source alternative...as far as I know. Perhaps we should do a benchmark test?   * There is no good open source alternative...as far as I know. Perhaps we should do a benchmark test?
  
-===== Choosing software =====+===== Example 1: using Mathematica as scratchpad ===== 
 + 
 +  * Simple 2D, 3D, and contour plotting.   
 +  * Use of special functions  
 +  * Obtaining precision  
 +  * FullSimplify and identities  
 +  * DSolve, NDSolve, and RSolve 
 + 
 +===== Example 2: quadrature ===== 
 + 
 +I will do an example showing quadrature using Mathematica. This will look at the [[https://en.wikipedia.org/wiki/Hundred-dollar,_Hundred-digit_Challenge_problems|SIAM 100-digit challenge]] problem 1.  
 + 
 +===== Example 3: series expansions ===== 
 + 
 +I will do a basic asymptotic expansion example to show the series functionality 
 + 
 +===== Example 4: contour plotting ===== 
 + 
 +A script from before showing contour plotting 
 + 
 +===== The philosophy of CAS vs floating point coding ===== 
 +