Mathematics is used to get the solution of difficult problems occurring in nature and simplify our understanding about the occurrence of events. Followings are important techniques suggested by great minds across generations to solve mathematical difficult problems.
1. First
solve simple problem then gradually scale to difficult problem.
2. Consider special case to improve your result.
3. First simplify the problem itself. Remove so much restrictions and then solve the problem.
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| Math & Difficulty |
2. Consider special case to improve your result.
3. First simplify the problem itself. Remove so much restrictions and then solve the problem.
“If I had an hour to solve a problem I'd spend
55 minutes thinking about the problem and 5 minutes thinking about solutions.”
― Albert Einstein
4. If your efforts are not yielding tangible results then start working backwards. Start from what you want to how you will get the solution.
― Albert Einstein
4. If your efforts are not yielding tangible results then start working backwards. Start from what you want to how you will get the solution.
5. After
investing reasonable amount of time, it is better to ask for help from others.
6. Allocate
sufficient time because hard problem takes time to solve.
“We cannot solve our problems with the same
level of thinking that created them”
― Albert Einstein
― Albert Einstein
7. Focus on what you have not used yet. Have a deep insight of problems. Express your problem intuitively and explicitly.
“A problem well put is half solved.”
― John Dewey
― John Dewey
8. Take a break after long and exhaustive research. Refresh yourself and then start fresh to solve the problem.
9. Give
up after long research and move on in your life, because you cannot solve all
problems.
10. Introspect
your approach and follow right paradigm
“The formulation of the problem is often more
essential than its solution, which may be merely a matter of mathematical or
experimental skill.”
― Albert Einstein
― Albert Einstein
11. Come back again with missing links and new approach.
12. Eliminates
possibilities and use trial and error method
“Well, if it can be thought, it can be done, a
problem can be overcome,”
― E.A. Bucchianeri, Brushstrokes of a Gadfly
― E.A. Bucchianeri, Brushstrokes of a Gadfly
13. Be creative and keep reading habits high. Literature survey, journal and paper regular reference can ignite right thinking and give right pointer to solve the problem.
Key Highlights:
How to solve difficult mathematical problem?
Techniques to solve difficult mathematical problem
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