Summary of the unique theme: Maths for Everyday routine
by Jouko Väänänen and Ulrich Trottenberg
Math concepts saturates everyday life more and more. It is used with large applications running upon huge pcs to anticipate weather in order to calculate guidelines for a costly industrial method or online marketing strategy: it has at this point become ubiquitous in the more mundane areas of our lifestyle. A good example is a mobile phone. Cellular phone technology depends heavily upon such primary areas of math concepts as analysis, algebra, and number theory. Introduction to the Special Idea
Mathematics is at principle economical. As the joke says, a mathematician needs just paper, a pencil, a fairly easy chair and a squander basket. As well, the qualifying criterion for success in mathematics is by and large generally accepted. This makes mathematics a stunning 'investment'. Moreover, a statistical result is usually valid permanently. It may fall out of fashion, or fall away from current area of application, but even the most well-known known numerical formulae -- such as that for fixing quadratic equations, known 2400 years ago by Babylonians, China and later the Greeks before being crystallized into its present form in 1100 AD by a Hindu mathematician named Baskhara - are the loaf of bread and chausser of present-day elementary mathematics. Alas, the downside is that the answers are usually not instantly applicable – and in it lies the risk. Who wants to 'invest' in something which may not lead to applications for many hundred years? The good news is that the distance between theory and application is starting to become shorter and shorter. Math concepts can be when compared to a pyramid. On the top of the pyramid are applications of mathematics to wellness, weather, films and mobile phones. However the best of this pyramid would not become so high if its foundation were not therefore wide. Just by stretching the breadth of the base can we at some point build the most notable higher. This kind of special characteristic of mathematics derives from the internal structure. A good contemporary application of math concepts can typically draw from differential equations, statistical analysis and linear algebra. These might easily draw from chart theory, group theory and complex evaluation. These in change rest around the firm basis of number theory, topology and geometry. Going deeper and deeper in the roots in the mathematics, 1 ends up with such cornerstones of logic as version theory and set theory. It can be clear that mathematics is definitely heavily used in large commercial projects and in the ever-growing electronic infrastructure that encompases us. However , mathematics is also increasingly penetrating smaller scale circles, including doctors' reception rooms, sailboat design and of course all kinds of lightweight devices. There has also been an alteration in the way math concepts penetrates the society. The oldest applications of mathematics were probably in numerous aspects of dimension, such as measuring area, value, length or perhaps time. This has led to immensely successful numerical theories of equations, dynamical systems and so on. In today's world, all of us already know quite accurately for example the make-up from the human genome, yet our company is just taking the first measures in understanding the math concepts behind this kind of incredibly complex structure of three billion dollars DNA basic pairs. Our understanding of the mathematics with the whole galaxy of beautiful bodies, even going back in time to the first second of its lifestyle, is better than each of our understanding of the mathematics of the own genes and bodies. What is the difference between the hereditary information encoded in GENETICS and the details we have about the movements of the beautiful bodies? Would it be that we have had the opportunity to encapsulate the latter in to simple equations, but not the former? Or can it be perhaps the fact that latter includes a completely different character than the previous, one that causes it to be susceptible to research in terms of equations, while the ex - comes from a world governed by chance, and algorithms, a new...