Can Genius solve any of exercises of textbook

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SUMMARY

The discussion centers on the question of whether a genius can solve all exercises in a mathematics textbook without error. Participants agree that while a genius may have the capability to solve all exercises, it may take considerable time, especially for extraordinarily difficult problems. The conversation highlights that the purpose of exercises is to help students apply concepts, and that persistence and hard work are crucial for problem-solving, as emphasized by quotes attributed to Einstein and Edison. Ultimately, being a genius is less about speed and more about the effort put into understanding and solving complex problems.

PREREQUISITES
  • Understanding of mathematical problem-solving techniques
  • Familiarity with the purpose of educational exercises
  • Knowledge of notable quotes on genius and hard work, such as those by Einstein and Edison
  • Awareness of advanced mathematics concepts, as discussed in texts like "Gauge Fields, Knots and Gravity" by John Baez and Javier P. Muniain
NEXT STEPS
  • Explore the concept of persistence in problem-solving in mathematics
  • Research the role of exercises in educational curricula
  • Study the quotes and philosophies of Einstein and Edison regarding genius and hard work
  • Investigate advanced mathematical theories and their applications, particularly in physics
USEFUL FOR

This discussion is beneficial for educators, students in mathematics and physics, and anyone interested in the nature of genius and the importance of effort in learning and problem-solving.

Nanas
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I know my question is not clear.All I want to say if genius ones can solve any exercise of textbook without any problem I mean without having a problem at one of the sub exercise.
 
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Yes, it is not clear at all. What the hell are you talking about?
 
My dog is a genius at fetching balls.
 
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In the modern textbooks of mathematics, on every section there are many exercises, is one who is a genius can solve all the exercises of the textbook without having any mistakes or problems.I assumed that this genius is reading the section and then solve exercises is that clear now ?
 
My English is bad I know.I want to know from you only if my question is clear now or not ?
 
Your question is clear enough, but actually meaningless.
 
The answer is yes: a genius will be able to solve all exercises of a textbook. But it may take some time.
 
micromass said:
The answer is yes: a genius will be able to solve all exercises of a textbook. But it may take some time.

What do you mean by some time ?
 
Nanas, your question is not really meaningful or useful. What is your purpose in asking it?

The POINT of exercises in books is to give students an opportunity to apply the concepts in the book. What difference does it make if a particularly smart person can figure them all out?

ANYBODY can figure them all out given enough time.
 
  • #10
Nanas said:
What do you mean by some time ?

A day, a month, a year, ...
Some textbooks exercises are extra-ordinary hard. It could take a genius over a year to solve all of them. It happens.
 
  • #11
micromass said:
A day, a month, a year, ...
Some textbooks exercises are extra-ordinary hard. It could take a genius over a year to solve all of them. It happens.
I think of that also he can solve all exercises and remain 4 or 5 Extra-ordinary hard questions which he will take a lot of time to solve.But must anyone try to solve all exercises
 
  • #12
Nanas said:
I think of that also he can solve all exercises and remain 4 or 5 Extra-ordinary hard questions which he will take a lot of time to solve.But must anyone try to solve all exercises

:confused:

Nanas, could you please tell us why you are asking all these questions? Why do you need to know this?? It'll be easier for us to help you if you tell us some more.

Did somebody tell you that you MUST solve all questions in a textbook in order to be smart?? Is this why you are asking this?
 
  • #13
phinds said:
Nanas, your question is not really meaningful or useful. What is your purpose in asking it?

The POINT of exercises in books is to give students an opportunity to apply the concepts in the book. What difference does it make if a particularly smart person can figure them all out?

ANYBODY can figure them all out given enough time.

But the time students have to solve them (I think) very Short.
 
  • #14
Nanas said:
But the time students have to solve them (I think) very Short.
If it is a school textbook assigned for your course, then you don't need to be a genius in order to solve them. You just need to be a good student.
 
  • #15
Evo said:
If it is a school textbook assigned for your course, then you don't need to be a genius in order to solve them. You just need to be a good student.

I'm sorry Evo, but it's obvious that you never read Rudin before :biggrin: I doubt that there are much students out there that can solve all of his exercises... I still have nightmares from that book :-p
 
  • #16
micromass said:
:confused:

Nanas, could you please tell us why you are asking all these questions? Why do you need to know this?? It'll be easier for us to help you if you tell us some more.

Did somebody tell you that you MUST solve all questions in a textbook in order to be smart?? Is this why you are asking this?

yes!
 
  • #17
Nanas said:
yes!
Then they were wrong.
 
  • #18
Nanas said:
yes!

Indeed, they were wrong. Being a genius has little to do with being able to solve textbook problems quickly.

A good scientist is (for me) somebody who can work hard and really embed himself in the problem. It may take years to reach a solution (and some never reach a solution), but a scientist must persist.

Remember what Einstein said: genius is 1% intelligence and 99% hard work. I believe that.
 
  • #19
A genius could solve all the exercises, but not everyone who solves them is a genius.
 
  • #20
Out of curiosity, is there a specific textbook you are using?
 
  • #21
micromass said:
Remember what Einstein said: genius is 1% intelligence and 99% hard work.
Are you referring to this Thomas Edison quote?

Thomas Edison said:
Genius is one percent inspiration, ninety-nine percent perspiration.

http://en.wikiquote.org/wiki/Thomas_Edison"
 
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  • #22
Jimmy Snyder said:
Are you referring to this Thomas Edison quote?



http://en.wikiquote.org/wiki/Thomas_Edison"

Aaah! I have a poster in which Einstein says it :frown: Apparently it is Edison.

Hmm, I liked the quote better when I thought that Einstein said it.
 
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  • #23
micromass said:
Aaah! I have a poster in which Einstein says it :frown: Apparently it is Edison.

Hmm, I liked the quote better when I thought that Einstein said it.

There is staggering amount of things attributed to Einstein that actually weren't his. The one I hate the most is that stupid riddle about fish and stuff.:(
 
  • #24
malty said:
There is staggering amount of things attributed to Einstein that actually weren't his. The one I hate the most is that stupid riddle about fish and stuff.:(
I haven't been able to verify this one.
A. Einstein said:
I'm no Einstein, but ...
 
  • #25
micromass said:
Remember what Einstein said: genius is 1% intelligence and 99% hard work. I believe that.

I Believe that also.
 
  • #26
In Fact this question wasn't for me but it was my friend's question!

I didn't know his aim for this question.It is not actually a question.He said to me "a genius can solve all of exercises rapidly,Right " I told him that I didn't Know.
 
  • #27
I got this from the book Gauge Fields, Knots and Gravity by John Baez and Javier P. Muniain. Page 449, Exercise 53:

Construct a theory of physics reconciling gravity and quantum theory. (Hint: you may have to develop new mathematical tools.) Design and conduct experiments to test the theory.
 
  • #28
I consider myself a genius, but i have a very hard time solving the simplest of problems.
 
  • #29
I don't Consider my self a genius.
 
  • #30
Jimmy Snyder said:
I got this from the book Gauge Fields, Knots and Gravity by John Baez and Javier P. Muniain. Page 449, Exercise 53:

I love this kind of Exercises,although I don't study Physics.But this Question make you fell what Albert Einestien , Isaac Newton,...etc had felt when they began their discoveries.
 

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