martes, 17 de junio de 2014

Newscast


In this post I bring you the corresponding video for that part of the blog. It is a newscast where we talk a little bit about some scientific topics and our teacher, Guillermo Castilla, is interviewed due to his work on a MOOC. It is a collaborative work together with my classmate Eduardo Cortina.
I hope you enjoy as much as I did while recording and editing it. Thanks for your visits!


lunes, 9 de junio de 2014

Euclid

As we were learning in class Euclidean spaces I decided to deepen on the figure of Euclid who I have been studying through all my student life. Euclid was a Greek Mathematician who lived between the 4th century and 3rd century BC. He is considered “The Father of Geometry”. Despite having lived such a long time ago his geometry is not at all old fashioned if not that it is still used nowadays as we can see. Another models have not been developed until the 19th century what can give us an idea about his figure. 

His most famous book is called “Elements” where much of the knowledge he acquired is shown. He also based his work in another compositions when defining bodies but he also states some theorems very common nowadays. They are, for example, the sum of the interior angles of a triangle equals 180º. He assures lines have only one dimension, the length, planes two and so on. He created, that way, a system that by that time was enough to understand things.

However, Gauss and other mathematicians but also Einstein in his modern physics investigation needed something else so some statements from Euclid had to be changed. His research was limited in a way. We can see now that we call Euclidean spaces to the set of vectors where the scalar product is defined in it. It has to follow symmetry, lineality and positivity, otherwise it is not an Euclidean space.


All this knowledge can be applied to many different fields. As I was saying it has much to do with geometry, which is everywhere around us. I hope you find this post interesting and you keep up to date with my blog!

lunes, 19 de mayo de 2014

Applications of Eigenvalues and Eigenvectors

You may wonder right now after having started to study what an eigenvalue and an eigenvector are and how to use them what their applications are. It seems all really theoretical but it has a huge utility especially in the engineering field. Let me show you in what manner.

They are usually used in advanced dynamics, vibrations analysis and electric circuits in order to transform a matrix into a diagonal one and also in order to solve differential equations. Apart form that, almost anywhere where matrices are applied they can be useful. For instance, it can potentially be when calculating the population growth or rotating or approaching different calculations with quadratic figures or equations. Some of these bodies can be ellipses, paraboloids, spheres, …

If you need some more information and a first approach to more advance applications of these algebra topics enter the following websites:


I hope you find it interesting and keep up to date to my blog!

martes, 29 de abril de 2014

History of Algebra

I have found for you a really interesting video about the history and development until our days of the Algebra thing. Since the Arabs, passing through the Greeks and now to our civilization. 

I hope you can enjoy it and learn a Little bit about it so that it can lead you to understand what we are studying nowadays.

Exercises on Sets, Groups & Rings

As we are studying now Sets, Groups & Rings I looked on the internet for some exercises where we can apply all what we are seeing in class so that we can learn effectively. You will see it is taken from a Turkish University from the Algebra subject and that it also contains its solutions so that you can check the results.

I hope it can be useful for you and that we can reach great marks by making some effort!
Here, the link: 


miércoles, 23 de abril de 2014

Interview to Francisco Escartí

To start with I have for you an interview with one of the most famous Spanish Aerospace engineers in the world, Francisco Escartí, a referent for those who, like me, are studying this degree. He had been working hard through all his life until he achieved a very important job in one of the best aviation factories in the world, Boeing. Nowadays, he is focused on writing and travelling as he will tell us, actually he has been recently in our university helding a conference. Let’s figure out what he has for us. It will worth reading it for sure because of his experience and knowledge. Hope you enjoy!

Q- What was your path until you reach such an important job in of the most famous aerospace companies in the world (Boeing)?
A- Working hard. Loving what you do. This is what matters. Each day you feel happy with your work and this is the only reward you're looking for.

Q- What is your duty nowadays?
A- Since the last year I spend my time writing, travelling and reading. That's what I do.

Q- Do you feel very important to have a communication education in order to work? Is it necessary for you to know how to make presentations and talk in public or your job is just technical?
A- Yes, it is very important, to develop skills to be able to communicate what your thoughts, wills and achievements are.

Q- What do you want to transmit with your book?
A- On “El secreto de los pájaros”, I've tried to describe the invention process of the first heavier than air flying machine. It was a process that took many years and the man had to learn how the birds fly, among many other things. The individuals who contributed to the invention and their lives captured my interest and I`ve tried to incorporate as much information as I have been able to gather on them. The book has been a huge effort, with more than 1000 pages of text, but I feel happy with the end result and it is a piece o work that I believe it will remain as the most comprehensive book addressing the invention of flight.
On my last book “De Los Ángeles al cielo”, I just describe the life of a unique and interesting aircraft (DC-1) who was built by Douglas, under the request of TWA, to compete with the Boeing 247. The aircraft was owned by Howard Hughes who planned to travel around the world with it, and ended up in Europe and in Spain during the Spanish Civil war. It helped to abandon the country to the Spanish Republican government at the end of the war. Later it came back to Spain to suffer an accident in Málaga, which ended its operational life. According to a US legend its structure was used to support the image of the “Virgen de la Esperanza” during the "procesiones de Semana Santa" in Málaga. I did my own investigations on this subject, which are part of the book. It is a book about the life of a unique aircraft and the people that changed the world of air transportation in a short period of time.

Q- What do you believe will be the future in aeronautics?
A- We are moving from a century driven by technology to a century where regulations will take the lead. Before it was a matter of flying farther and faster, today is a question of flying more efficiently and in an environmentally progressive manner (less emissions, less fuel consumption...) New materials to reduce weight, the use of fuel cells and electricity on board, electrical management systems, biofuels, and new aircraft concepts based on efficiency will drive the industry.


Q- Finally I would like to ask you for some advice for those who, like me, are starting an engineering degree.
A- Pay attention to those elements that will play a more important role in the future. Don't miss the big picture, but try to come deeper into some specific areas, look for a high degree of specialization. Take the lead on the subjects you are interested on and position yourself among the leading team. You must find your way out. Don't be afraid of making mistakes. Don't be stupid not to change when you make a mistake.