Friday, March 4, 2022

MATHEMATICS FOR I.T.

They say mathematics is crucial to unlocking the secrets of the world...


...and when it comes to the world of computing and information technology, Omnitekk agrees.


For all our number crunching, analytical, statistical and logical developers and IT enthusiasts out there, who'd just love to take a delve with us down mathematics lane, here we present our picks of the areas of mathematics all those interested in unleashing their inner technophile should know to make better use of your IT tech talents.


Geometry

Calling all my graphics, video game, interface and data visualization designers.


The study of geometry and trigonometry help all in the visual IT designer field make better use of IT design methods as you unleash your inner Picasso, so as to present data in visually appealing ways.


Algebra

Algebra in it's simplist of form deals with sophisticated methods of calculating primitive arithmetical equations.


But why is this necessary to know Omnitekk...


...The study of algebra relative to tech field applications, provides us the nexus within the foundational understanding of those simple calculatory tasks and methods that helps  our IT folks, from developers and statisticians and accountant application developers, to our network guys and system developers alike, craft better ways of devising tech solutions.


Likewise, since our beloved machines only count in 0's and 1's - Boolean algebra and Group Theory, all within the field of Algebra, are especially handy tools to have in your mathematical arsenal for applying to your IT tasks.


Combinatorics

Here's where things get fun...

Combinatorics helps developers and those within IT develop the very necessary talent of algorithmic and sequential thinking constructs, so as to develop efficient ways to devise and apply the best solutions to your most pressing IT projects.


As it's name implies, combinatorics deals primarily with sets and combinations of solutionary aspects of finding all possibilities for solving a given problem or construct, and is particularly useful in the areas of virtualization, IT simulation and game design.


Graph theory

Like the study of combinatorics, Graph Theory provides the means for our IT rock stars to devise connections and relationships, both pictorially, functionally and programatically between data and objects within IT applications and programming tasks, making subject study an affirmative means of improving upon problem solving methods by better understanding how one thing connects to another.


The functional principles of Graph Theory are used in the application of Data Structures and Algorithmic puzzles and design methods, making them most useful to software and firmware programmers and applications developers.


Set theory

The Theory Of Setting The Stage For Crafting Better Solutions...

Set theory is also a particularly useful branch of mathematics within IT fields, as it primarily deals with the application of sequential data sets and methods of conjoining data constructs to manufacture the necessary connections to solve a problem in the most efficient way.


Set Theory is the fundamental framework for devising the logic between ubiquitous correlations between two or more otherwise distinct objects or systems within a range of datum.


It's use is most prevalent in the areas of statistical application, logic formation,  and other such data analytical fields, like Big Data, Database Design and Implementation as well as Finite and Infinite Data Set principles.


Cryptography

IT risks and threats are ever present in the IT world, and must be subverted in the best way possible...


...and here my friends is where the application of Cryptography comes in to play.


Cryptography and Cryptographic methods are most used to provide the very necessary security, obfuscation, and enhanced means of applying security to systems and applications as well as interface and data design and information transport protocols.


So for anyone who has ever written a computer program or designed or manufactured any other type of IT task, chances are there is some form of this branch of mathematics deeply embedded within your design or application.


Topology

In our ever- present search for connectedness and effective ways to depict those connections in meaningful ways, the use of topological methods provides an especially efficient  measure of accomplishing this with ease.


Topology deals with the locality and geological as well as the geometric properties of objects in the IT world, and is best applied where such attributes are statically placed and have the least chances of structural deformity.


We typically see Topological applications in IT fields that deal with geographic design and layout, such as with maps, data dictionaries, and electronic blueprint designations alike, that utilize data structures to represent locality and structural design information.


Probability and statistics
Statistical data helps us determine the likelihood of probability an occurance has the chance of manifesting, helping  those in technical areas, such as staticians, data scientists and analysts, and even the broad range applications developer forecast and determine objective tendencies or leanings toward a specific outcome to develop the automated representation from such information.


Probability and statistics is also a useful discipline in Game Design and Financial Centric Application design, such as those used on stock trading  floors and in online gambling and gaming applications.


Logic

In the world of IT, almost every task those working in STEM fields engage in, is heavily based on some form of Logic and algorithmic design principle.


As such, the study of Logic helps developers, analysts and even network technicians alike, develop the knack for derivative based thinking modes that subsequently allow the crafting of  best practices in both solving and devising solutions for rendering complex problem and data sets.


And there you have it folks...


... OmniTekk's picks of the best branches of Maths those interested in STEM fields should delve into.


Mathematics Served!

We should also suggest the field of Calculus as well, since it is particularly useful to those working in Big Data fields, as well as the Aerospace and Fluid or Electro-Mechanics Industries but our folks here have provided you all with quite a few comprehensive places to begin your journey into the deep of those mathematical disciplines best suited for applying to your STEM tasks.


There are a slew of tutorials and other useful information on YouTube and other such online vestiges, so feel free to explore.


Infact, most Ivy league and exceptional universities, such as MIT, Yale,  and Harvard, provide open courseware in an array of math subjects free of charge.


They can be found at

YALE

https://oyc.yale.edu/courses


HARVARD

https://pll.harvard.edu/catalog


PRINCETON

https://online.princeton.edu/courses


VARIOUS UNIVERSITY OPEN COURSEWARE

https://www.classcentral.com/


MIT

https://ocw.mit.edu/index.htm



You're welcome!


And until our next IT Adventure my friends, OmniTekk says...Be Well.

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