Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ ¹ ² ³ °
 

You are not logged in. #1 20121123 03:12:51
Why are we taught solving Numerical methods manually!Hello geeks Last edited by Raabi (20121123 03:14:56) #2 20121123 03:36:15
Re: Why are we taught solving Numerical methods manually!I think these methods are taught to you people so that you have a better view of programming. Last edited by Agnishom (20121123 03:38:14) 'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.' 'God exists because Mathematics is consistent, and the devil exists because we cannot prove it' 'Who are you to judge everything?' Alokananda #3 20121123 03:58:33
Re: Why are we taught solving Numerical methods manually!hi Raabi You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei #4 20121123 04:10:51
Re: Why are we taught solving Numerical methods manually!Thanks for your attention, Agnishom. #5 20121123 04:18:28
Re: Why are we taught solving Numerical methods manually!Sorry Bob, I did not see your reply before. Our syllabus, for this semester, is divided into three parts: Last edited by Raabi (20121123 04:20:38) #6 20121123 05:21:41
Re: Why are we taught solving Numerical methods manually!Well the only other thought I have on this is that a computer method for solving a problem has to depend on some technique or other, often from an area of maths. So you have to study the maths in order to get anywhere with the computerised solution. You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei #7 20121123 05:35:32
Re: Why are we taught solving Numerical methods manually!I tried to get a better answer by googling. Don't think I really got anywhere but I did find some articles/books/courses on the subject that may interest you. You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei #8 20121123 08:03:44
Re: Why are we taught solving Numerical methods manually!Hi Raabi;
The sad truth of the matter is most mathematicians hate computers and won't use them. Many textbook writers are only imitating their heroes. 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. #10 20121123 19:58:32
Re: Why are we taught solving Numerical methods manually!Hi; 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. #11 20121124 01:02:29
Re: Why are we taught solving Numerical methods manually!This is very encouraging response, Bobbym. Here I have just copied the original question for solution: Question 2: Use the NewtonRaphson method, with 3 as starting point, to find a fraction that is within 10^−8 of . Show that your answer is within 10^−8 of the truth. I have copied the above questions from the question paper, given in an exam. It will be so nice to get my confusion cleared. Raabi #12 20121124 04:35:32
Re: Why are we taught solving Numerical methods manually!Hi; The above is the formula for Newton's iteration or Newton Raphson method. In many numerical methods we start with a guess! This will be very disturbing to many math types who will actually begin to whine and moan about that. Do you understand so far? 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. #13 20121124 05:29:14
Re: Why are we taught solving Numerical methods manually!Yes Bobbym. Actually, I have shot both questions in dark  looking at some example problems. I calculated the Root geometrically, by drawing the curve and then tangents at f(xn) repeatedly (4 iterations only). #14 20121124 05:36:45
Re: Why are we taught solving Numerical methods manually!Hi;
Yes, but remember this is only an example book problem. It is there to teach the new technique. In the real world you rarely get such an easy problem.
That is something even the best books do not adequately cover. Finding the best one is an art form and is what separates one person from another. 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. #16 20121124 05:48:04
Re: Why are we taught solving Numerical methods manually!Ask all the questions now and you will not have to ask them later. There really are no better questions. 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. 