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How the Numerical methods help with higher Accuracy & PrecisionHi with a quality scientific calculator, and then with Newton's method; wouldn't I get the same accuracy to 15 places of decimal, for example? Or, there are some other reasons for using these methods instead of using MS Excel, Scientific calculator, or just Microsoft Math? Please pardon me for asking too basic questions. They may help me grasp the true essence of the subject. Thanks in anticipation. #2 20121123 19:57:07
Re: How the Numerical methods help with higher Accuracy & PrecisionHi Raabi; In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #3 20121124 00:41:29
Re: How the Numerical methods help with higher Accuracy & PrecisionSorry bobbym, I could not get your point. If it is not inconvenient, please elaborate it to an absolute novice. I want to understand, why and when we take refuge with Numerical methods. The example, I had quoted was for a comparison to understand well. #4 20121124 04:21:56
Re: How the Numerical methods help with higher Accuracy & PrecisionWell a program should behave what its programmed for. If it's programmed to use Newton's method, it will and its the same what you do on paper. But at the same time computers have limitations. In this case the limitation is on decimal points ,computers work only with binary numbers they don't understand decimal points they don’t even understand negative numbers Last edited by debjit625 (20121124 04:24:20) Debjit Roy ___________________________________________________ The essence of mathematics lies in its freedom  Georg Cantor #5 20121124 04:23:42
Re: How the Numerical methods help with higher Accuracy & PrecisionHi;
Those three tools as well as all the rest use numerical algorithms like Newton's, secant, interval bisection to get their answers. They are all well written and will generally get you 15 or 16 digits of precision. In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #6 20121124 04:55:59
Re: How the Numerical methods help with higher Accuracy & PrecisionThanks Bobbym. I got some hint. Some people, like myself, are not good at asking their questions well  I'll try to improve. #7 20121124 04:58:48
Re: How the Numerical methods help with higher Accuracy & PrecisionHi; In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #9 20121124 05:14:11
Re: How the Numerical methods help with higher Accuracy & PrecisionHi; In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. Pages: 1 