physics

http://www.earlhaig.ca/departments/science/physicsreview.php


http://www.physorg.com/(for all scientific subjects)

[Read More...]

my scriblings

beauty of nature simple things are not simple since we are taking most of the things for granted but when we dive into it we can see that behind it's extreme complexities are there. A painter know the value of a painting and archaeologists know the value of an antiquities and a sculpture know the value of a statue and similarly a mathematician known the value of numbers,patterns and shapes. We can see it but they can observe it.

[Read More...]

This site is for those who want to study mathematics at a greater depth

http://www2.latech.edu/~schroder/fund_videos.htm

http://www2.latech.edu/~schroder/DE_videos.htm

http://www2.latech.edu/~schroder/comp_var_videos.htm

http://www.learner.org/courses/mathilluminated/

http://blossoms.mit.edu/library.html

http://www.math.tamu.edu/~scarboro/

http://www.adjectivenounmath.com/id85.html
http://online.math.uh.edu/Math1313/
http://www.onlineuniversities.com/blog/2008/11/100-awesome-ivy-league-video-lectures/
http://www.onlinedegree.net/50-best-blogs-for-math-majors/

http://www.ima.umn.edu/videos/

http://www.isallaboutmath.com/index.aspx

http://www.ictp.tv/diploma/index07-08.php?activityid=MTH

Ted Chinburg algebraic number theory semester 1
http://www.math.upenn.edu/~ted/620F09/hw-620SchedTab.html
semester 2
http://www.math.upenn.edu/~ted/620S10/hw-621SchedTab.html
semester 3
http://www.math.upenn.edu/~ted/720F10/hw-720SchedTab.html
semester 4
http://www.math.upenn.edu/~ted/721S11/hw-721SchedTab.html
http://www.youtube.com/TheCatsters
http://www.extension.harvard.edu/openlearning/math222/
http://math.sfsu.edu/federico/teaching.html
Miles Reid's lectures on Algebraic Geometry and Algebraic Surfaces.
http://www.mathnet.or.kr/new_VOD/sub1.php?key_s_title=Lectures+on+Basic+Algebraic+Geometry+by+Miles+Reid+%28WCU+project%29
http://vod.mathnet.or.kr/sub1.php?key_s_title=Lectures+on+Algebraic+Surfaces+by+Miles+Reid+%28WCU+project%29
Geometric Representation Theory Seminar - Fall 2007 by John Baez and James Dolan
http://math.ucr.edu/home/baez/qg-fall2007/

Summer School in Arithmetic Geometry

http://www.uni-math.gwdg.de/aufzeichnungen/SummerSchool/

Lectures on Real Analysis

http://courses.bilkent.edu.tr/videolib/course_videos.php?courseid=12

The Fourier Transform and Its Applications, taught by Brad Osgood at Stanford.

http://see.stanford.edu/see/lecturelist.aspx?coll=84d174c2-d74f-493d-92ae-c3f45c0ee091

David Forney's course on Coding Theory at MIT.

http://videolectures.net/mit6451s05_principles_digital_communication/

Differential Equations, taught by Arthur Mattuck at MIT.

http://videolectures.net/mit1803s06_differential_equations/

Tim Gowers - Computational Complexity and Quantum Compuation

http://www.sms.cam.ac.uk/collection/545358
http://sites.google.com/site/yourmathvideos/

http://numericalmethods.eng.usf.edu/
calculus in depthhttp://www.youtube.com/user/GRCCtv#p/search
http://mathispower4u.yolasite.com/
http://www.understandingcalculus.com/
http://www.natures-word.com
http://math.stackexchange.com/questions
best mathematical you can ever find out
http://www.ams.org/samplings/feature-column/fcarc-home


http://betterexplained.com

[Read More...]

collection of nice Math jokes

http://www.math.utah.edu/~cherk/mathjokes.html

[Read More...]

Best video math treasure resource for you

http://www.youtube.com/user/saylorfoundation#p/p

http://www.centerofmath.org/video.html
http://ocw.mit.edu/courses/mathematics/18-01sc-single-variable-calculus-fall-2010/

and morehttp://www.integralcalc.com/

[Read More...]

fractals ideas explained in a very clear manner

This is the best video you can ever see to get the math behind the fractals

[Read More...]

Best Animated Math tutorials

simple to complex ideas presented in an innovative manner http://www.whyu.org/

[Read More...]

Most popular MIT seminars

http://mitworld.mit.edu/browse/popular/alltime/page:1

[Read More...]

Best youtube channel for advanced complex ideas

http://www.youtube.com/user/cassiopeiaproject#p/u

[Read More...]

Great mathematicians interviews and realtime math applications

Here some of great ideas that can change your way of thinking Also in the site mentioned andrew wiles (famous mathematician) who solved 350 years problem fermat's last theorem is also present .Enjoy it. http://www.claymath.org/video/

[Read More...]

Get clear ideas about all computer concepts and languages in tamil

Youtube channel for most concepts and languages in tamil(don't leave these treasures unnoticed)
http://www.youtube.com/user/reach2arunprakash


Another youtube channel in tamil(only for j2ee)

http://www.youtube.com/user/VIGNESHD57#p/u
for java
http://www.youtube.com/user/irkannan1981#p/u
http://www.youtube.com/user/irkannan1981#p/u
more computer concepts in tamil

http://www.youtube.com/user/sujeshanto#p/u

[Read More...]

Finite minds determining the nondeterministic infinite things

we see but mathematicians observe
There is a drastic difference between seeing and observing .The difference is,seeing means looking at a shallow manner without diving but observing means diving into it and then telling it.
Mathematicians are best virtual divers .They plunge into the world of abstract mathematics and they atlast come to the conclusion .
Here one more thing that I want to mention it,mathematics subject itself is a fractal,when you dive into it you can see that you are again at the top layer no matter how many layers you go into it .Mathematics is a subject where suprises hidden within suprises.Mathematics possess beauty which has no end to it.
I will explain this with some simple examples
Suppose consider the sum of infinite series 1+1/3+1/6+1/10+1/15+…..
Here you can see what the above numbers they are the reciprocals of nth triangular numbers.
When n=1,n(n+1)/2 gives 1
When n=2 , n(n+1)/2 gives 3
When n=3 , n(n+1)/2 gives 6
When n=4 , n(n+1)/2 gives 10
And so on .
Ok now you know where each denominator came from .
Ok when we see this infinite series we are unable to predict the sum of this infinite series but this can be solved this in simple algebraically.
First algebraically we will solve it
Let s=1+1/3+1/6+1/10+……………….
Now multiply both sides by ½
(½)s=1/2+1/6+1/12+1/20+…………….
Now with the help of simple logic ½ can be written as (1-1/2) and similarly 1/6 can be written as(1/2-1/3) and 1/12 can be written as (1/3-1/4) and so on.
=>(1/2)s=(1-1/2)+(1/2-1/3)+(1/3-1/4)+(1/4-1/5)+…………..
So all the terms will cancel except 1
So (1/2)s=1
=>s=2.
=>1+1/3+1/6+1/10+……………….=2
Hey hey wait one minute now consider
S=1+1/3(part of this infinite series and compute it in the same manner)
=>(1/2)s=(1/2)+(1/6)
=>(1/2)s=(1-1/2)+(1/2-1/3)
=>(1/2)s=1-1/3
=>(1/2)s=2/3
=>s=4/3
So now considering the finite sums like these you may tell that 1 and the last number will also remains .
So which implies you are seeing whereas mathematicians know last term will diminish when we are considering the infinite series since they are observing(How the last term diminishes .Answer is very simple in case of infinite series the last term will be a very big number reciprocal which is nearly zero .)
Ok now consider the another series 1+1/2+1/3+1/4+1/5+………..
Which is nothing but reciprocal of the sum of the natural numbers .by considering the previous sum of series we may tell that sum of the series might be some finite number which is not happening in reality.
We will see why it is
S=1+1/2+1/3+1/4+1/5+……………..
s=1+(1/2)+(1/3+1/4)+91/5+1/6+1/7+1/8)+(1/16+1/16+1/16+1/16+1/16+1/16+1/16+1/16)+……………
We are grouphing in terms of 2 power n and also note that
¼<1/3 and 1/8<1/5,1/6,1/7 and 1/16<1/15,1/14,1/13,1/12,1/11,1/10,1/9 and so on …..
>1+(1/2)+(1/4+1/4)+(1/8+1/8+1/8+1/8)+……………….
=1+(1/2) +(1/2) +(1/2) +(1/2)+…………..
So the infinite (1/2) terms quickly diverge to infinity (means they will turns to a huge number) so the subset itself diverges
So the original series 1+1/2+1/3+1/4+1/5+………….. diverges to infinity(very big number ) which is counter intituitive.
Now another example
Find the value of

Which we can’t predict it value since we are seeing but where as mathematicians are observing using simple algebraic operations we can able to find out its value. Actually the value is very interesting and it is called golden ratio(1.608..) which has pretty interesting features. Similarly one more example
Find the value of

Which can also be solved very easily using simple algebraic operations and geometric series help we can see that its value is 3
So We can see that finite mind(mathematicians) can determine the infinite intrinsic beauties.

[Read More...]

Theorem:Everybody loves mathematics (proof by contradiction and mathematical induction)

Proof: Mathematical induction is a fancy word which means given fact is true for all natural numbers
Contradiction is a fancy word which means that we will assume wrong to the statement which has to be proved and we will proceed while doing this we will be slipped to a loop hole where it will fails so which leads to the situation assumption might be wrong .Hence the statement might be true.
That’s ok .Now continue to the discussion. When n=1
Here 1 is a single person .let us assume that person is me .so we have to prove for the single person(here for me).So in order to prove the above theorem we have to prove the short lemma
Lemma :I love mathematics
Proof by contradiction :
So we will assume I hate mathematics.
Again in order to prove this lemma we have to use another short conjecture
Conjecture:Each person in the world is addicted must be addicted to something.That thing may be a music,person(boy or girl),money,gold etc.(this is also true for saints where they want to attain mukti or whatever may be)
So according to this conjecture I must be addicted to something.
Let us assume that thing may be music .
Eventhough I am in love with music only I am indirectly loving a part of mathematics associated with it.
Since the music produced by violin,clarinet,or a person atlast it will be in the form of a wave .so which implies that I am in love with specific transformations produced by them
So which leads to a contradiction.so our assumption is wrong.Therefore it implies that I love mathematics.
So we have proved for n=1.
So let us assume that the above statement (everbody loves mathematics) is valid for n=k.(here k is nothing but k persons)
So we will prove it for n=k+1
Since k+1=k +1
Since the statement n=k persons and also for n=1person has been already proved by us
So n=k+1 is true.
In order to understand this simple number theory concept may help you.
If 6 is divided by 3 and 9 is divided by 3 which implies that their sum is divided by 3.
Hence the theorem is true
That is everybody loves mathematics
Still if you are saying I hate mathematics then it means you are pretending like girl’s attitude,which means that in their terminology I don’t like it means I like it.
Anyway for some people relationship is visible(in terms of c language pointer to a variable) and for some people the relationship is just hard to see(in terms of c language pointer to a pointer to a pointer).
e.g

point p has a direct relationship with a circle which can be clearly seen.

Point p has no direct relationship to a circle which does means that it has no relationship at all.
Since both must be in a space ,through that space they are related.
In the above concept mentioned circle is the mathematics and the point is the thing and the relationship has been provided by observer.
Hope you understood

[Read More...]

All that glitters is not gold(proof using mathematics)funny mathematics

Proof:consider the following three functions Check whether they are identical

When we perform simple algebraic operations we can easily see that three of them are same that’s an illusion . Really the domain part for three of them are different . First for function f(x) , x values can’t be negative so it’s domain is x>=0 Second for function g(x), x value can’t be zero( since there is a hole at x=0) But for the third function all the values are allowed. we can see this difference clearly when we saw it in terms of graphically

So don’t judge by external appearances and fall into a trap. Moral of the story : Think in terms of mathematics before you take any action (hahahaha)

[Read More...]

one of the Best math site (nobody can explain as simple as(especially calculus) he does)

http://www.rootmath.org/

[Read More...]

khan academy in tamil

http://www.youtube.com/user/tamilkhanacademy#g/p

[Read More...]

stay hungry stay foolish apple steve jobs impressive talk

[Read More...]

video for those who want to get ph.d ,engineering and doctor and more(funny but meaningful one)

[Read More...]

cambridge videos (great ideas to change your way of thinking)

http://www.sms.cam.ac.uk/

[Read More...]

helpful youtube channel for those who want to improve their english

http://www.youtube.com/user/ValenESL

[Read More...]