Problems on Extremal Principle ?

[kishore]

HI,
I am a new member to this group.I am preparing for an entrance
examination.
I have some doubts related to extremal principle.The ideas are very
creative and unimaginable.Are you aware of any sites where there is
enough information about the application of the principle?

thank you
kishore

[Larry Hammick]

"kishore" <kishore...@gmail.com> wrote in message
news:1164799682.3...@j44g2000cwa.googlegroups.com...

I think you mean "extremal principal" in the (unstandard) sense in which it
is used in this book by Arthur Engel:
http://www.amazon.com/Problem-Solving-Strategies-Problem-Books-Mathematics/dp/0387982191
Somebody in sci.math or at
http://www.mathlinks.ro/Forum/forums
might have the book. Without it, it's guesswork what Engel is talking about
:)

(I saw your thread at alt.math and I tried to reply, but I'm using new
software and my reply seems to have vanished somehow.)

[Narasimham]

> I am preparing for an entrance examination.I have some doubts related
> to extremal principle.

What entrance exam? 1) Do you know Lagrange Multiplier? [For given
perimeter of a rectangle, find dimensions of max area.] 2) Is calculus
variations helpful? [ For given perimeter, find max area between a
curve and a line] type of problems.

Narasimham

[Larry Hammick]

"Narasimham" <math...@hotmail.com> wrote in message
news:1164818395....@80g2000cwy.googlegroups.com...

> kishore wrote:
>> HI,
>> I am a new member to this group.I am preparing for an entrance
>> examination.
>

> what entrance exam?

> Do you know Lagrange Multiplier?
> For given perimeter of a rectangle, find dimensions of max area.

> Is calculus variations helpful? For given perimeter, find max area
> between a curve and a line type of problems.

Despite the name "extremal principle", this one is not about calculus of
variations.
http://groups-beta.google.com/group/alt.math/browse_frm/thread/d91d765eb24cebad/84a7c5507439aec9?hl=en#84a7c5507439aec9
LH