Double integrals over general regions

Here is my video,
I've done it about the double integration.
I hope you like it.!
   Best regards.

Interview with a mathematician, Jose Ruíz

I will interview a teacher who knew from childhood has always tried to introduce in mathematics , Jose Ruíz. Of which I have a special affection and remembrance.
I was lucky to grow up surrounded by intellectually restless with much enthusiasm to learn and try new things people , was not lucky enough that my parents instill these values ​​me , but I was looking for me and supported me in interesting people. Always trying to move tickets. So I say it is not an excuse , if you want to go to , even if you have more effort , you're going behind a goal if that motivates you .

Q: Does the math are necessary in our daily life? For what reasons should we learn ?

A: Math is necessary in our daily life , for the same reason we need to learn the language to communicate around us , we need mathematics as a language but also is a universal language. Y is used in the same way that we need to read or write . Continually use mathematics to go shopping , to travel , etc.



Q:Many mathematicians believe that mathematics is fun . How is this possible , if most students hate this subject ?

A:Of course they are fun, but I do not sign9ifica that grab effortlessly all the knowledge needed for learning , in the case of mathematics it is clear that this is study and practice many times until you resolve a problem . The literature on mathematics in the recreation field are immense. Today all of us working in this field are disciples of Martin Gardner, whose books belong in the shelves of any math teacher . It was he , for example, who popularized the game of Life, one of the most exciting activities of the statistical module .
How teacher often fails in many teachers of this science ?
Most focused teaching and rote mechanical way , even not being intended that students see it as well , however it is preaching to his disciples. I think you need to focus more on the compression of all the concepts step by step and understand everything. If I understand the formula will be easier to remember .



Q:What do you think of the use of ICT?

A:Are essential and every day are more important to make science more visible and quickly focus them into practice. Although all have not been lucky enough to form them , at that time there was neither a color TV , which later appeared and revolutionized communication.



Q:Anything else to add?

A:I always like to define this verb is so fabulous motivate management is to inspire people , individually or in groups , so as to produce the best possible results .
And to say that work effortlessly gets nowhere .

Thanks for all your answers.

Unresolved issue

 

         The mathematical solution of the Neumann theorem, considered one of the most notorious open problems since their inception in the 30s of XX century by the Hungarian John von Neumann, will have "significant" for future generations applications, among others, medical scanner .
Eva Gallardo and Carl Cowen have an ending.

     "If you spin a ball, always swivels. Y are finite dimensional, where there is a subspace invariant for something that is a linear operator. Infinite in dimension, the problem was open," stated Gallardo after exposure Cowen, in English and using the motion of a basketball as an image. "What we've resolved," continued the professor, 39 years old and already produced several works on the U.S., "is that in infinite dimension, in a Hilbert space, there is always a subspace invariant, non-trivial, for any operator to be linear and continuous. "

The Hessian

The Hessian, which is also known as discriminant or Hessian matrix, was introduced in the year 1844 by Hesse, German mathematician, born in 1811 and dead in 1874. This Happened after that, Carl Gustav Jacob Jacobi introduce "The Jacobian".

The Hessian to determine the maximum and minimum of a function of two variables, also this one in optimization:

     - If the Hessian is positive, it is a minimum or maximum, depending on whether the second derivative of x is negative will be a maximum positive or if there is a minimum.

     

 -If the Hessian is negative, there will be a saddle point where there will be both maximum and minimum out of the same point.

     

 -If the Hessian is zero, we have enough information to determine anything, unless we see the full function drawn.

The Jacobian

     

        

        In vector calculus , the Jacobian or Jacobian determinant called the determinant of the Jacobian matrix . Both the Jacobian matrix and the Jacobian determinant are named after the mathematician Carl Gustav Jacobi .


        Carl Gustav Jacobi was born in Potsdam in 1804 within a Jewish family in Germany .                                                                                                                Jacobi Niels Henrik Abel established with the Theory of Elliptic Functions . Demonstrated the solution by applying elliptic integrals of functions, exponential series introduced himself.
       He worked mainly on differential equations and determinants, studying , among other things, the concept that today is known as Jacobian . He published the result of these years on the formation and properties of determinants .
       Jacobi had the reputation of being an excellent teacher , attracted many students. Seminar introduced a method to teach students the latest mathematicians.



       The Jacobian is simply determining which serves to move or transform from one coordinate system to another. Also called functional determinant .

Why no Nobel Prize in Mathematics ?

          Nobel Prizes are given to people who have excelled in certain areas by sufficiently important contributions to society. It is awarded annually on December 10 ( the date on which Alfred Nobel died ) in Stockholm and the fields that are awarded are Physics, Chemistry, Medicine , Literature , Peace and Economics. So , as you can see, there is Nobel Prize of Mathematics .... why? .

          There are a couple of legends to explain this.One of them says that when Nobel thought in prizes, he asked advice from specialists who might deserve each .
In the category of Mathematics told that Mittag - Leffler , Swedish mathematician , would be suitable to receive it. But Nobel took wrong with him , and declined to give award at this branch for not giving it to him . And the other is even more pink : it is said that such Mittag - Leffler had an affair with the wife of Nobel and thus not established the prize for this science .

          But they are just that : legends. There is no record that had references from this Nobel Swedish mathematician , in fact it seems that barely knew , so there might be wrong with him. The other story is easily removed : Nobel never married .

          The reason why there is no Nobel Prize in Mathematics is that Nobel did not consider this science as important for life on the practicality and elected branches awards did consider important to the advancement of society . As we all know obviously wrong in this reasoning as mathematics are essential in our life. But Nobel did not consider that.

           Yet this has been and mathematicians who have been awarded the Nobel Prize in any category in which they are delivered. A couple of examples are John Forbes Nash, Nobel laureate in economics and José Echegaray , Literature Nobel Prize .

         But mathematicians are not exempt from specific awards for us. As I said in this post there is a prize , say, equivalent to the Nobel designed to mathematicians the Fields Medal , which is awarded every four years to one or more outstanding mathematicians in this period that would meet the condition of not exceeding 40 years old. It is the highest honor a mathematician can receive and next, as I said , will Grigori Perelman .

Presentation!!

I am Sonia Aguera, I am student of biomedical engineering at the Polytechnic of the European University of Madrid. And this will be my first blog related to mathematics, and the second I do.
The first thing that comes to my mind when I do a blog is that this blog might be interesting, at least. It is very difficult by the fact of being a math blog,where we study especially in "integrals" in this course.
I will leave a link to a page trying to help you  in mathematics. http://www.webmath.com/