Skip to main content

Coding and Mathematics ( Importance Of Maths In Programming )

Image
By
Everyone wants to become a good coder but only a few manage to achieve this you know why?
BECAUSE everyone wants to code and no one really wants to be a good mathematician which is the basic requirement to be a coder, yet very few know this fact and try to be a mathematician first than a coder.

What exactly is coding?
It is the process of solving different technical problems using a programming language. The technical problems can vary from printing a simple "Hello World" program to solving "2 SAT Problem" using mathematics.

You might today be able to solve a few problems using your technical skills but it would help you in the long run only if you're fundamentals of mathematics are also clear.
By mathematics, I don't mean the whole of it but some important topics such as Discrete Math, Algebra, Number Theory, etc.

Here are some concepts of mathematics that you will use mostly in solving the technical problems :


  • Fundamentals
    • Binary Exponentiation
    • Euclidean algorithm for computing the greatest common divisor
    • Extended Euclidean Algorithm
    • Linear Diophantine Equations
    • Fibonacci Numbers
  • Prime numbers
    • Sieve of Eratosthenes
    • Sieve of Eratosthenes With Linear Time Complexity
    • Primality tests
    • Integer factorization
  • Number-theoretic functions
    • Euler's totient function
    • Number of divisors/sum of divisors
    • Discrete Log
    • Primitive Root
    • Discrete Root
    • Montgomery Multiplication
  • Number systems
    • Balanced Ternary
    • Gray code
  • Modular arithmetic
    • Modular Inverse
    • Linear Congruence Equation
    • Chinese Remainder Theorem
    • Factorial modulo
    So, it won't be wrong to say that both Programming and Mathematics go on Parallelly.
    • Without mathematics, you may understand the code for a moment, and then you may cram it but you'll be only able to optimize it and recreate it when you know the flow of code and what exactly is happening in the code. Mathematics is a key tool that would enable you to do the same. So practice mathematics and be a great coder.
    Go through the above topics as they are of utmost importance to all the coders.
    Happy Coding !!!
    Labels:

    Comments

    Post a Comment

    Your Feedback Will Help Us To Improve...

    Most Popular Posts

    On Which Coding Platform Should I Practice?

    By
    Which is the best online platform to practice, how to improve my coding skills? This post is all about giving answers to all such questions. If you're a beginner who has got no idea what programming is then I would recommend you step by step practice any programming language on Hackerrank. Hackerrank has modules that are self-explanatory and would slowly make you understand all the terminologies which are generally used and with practice, you'll be better at it. Moreover, if you're still not able to understand anything you can always search for your answers on GeekForGeeks or HackerEarth both of them provide one of the best tutorials on any topic. If you're an intermediate who's comfortable with any programming language then you can always improve your problem-solving skills studying Data Structures and Algorithms and practicing it. You can also improve by competitive coding. The best place to start with competitive programming according to me would be ...
    2 comments
    Read more

    How to Invert A Binary Tree (Iteratively + Recursively)?

    By
    Inverting a binary is one of the most common questions being asked these days. Often, seen many times in the ad of AlgoExpert as well. So, what is an inverted binary tree? Inverted binary tree is a simply a mirror image of given binary tree. Example : So, all we need to do is " Swapping left children with right children of a binary tree at every level." Implementation Recursively TreeNode* invertTree(TreeNode* root) { if(root==NULL) return NULL; swap(root->left,root->right); invertTree(root->left); invertTree(root->right); return root; } Iteratively TreeNode* invertTree(TreeNode* root) { if(root==NULL) return NULL; queue<TreeNode*> q; q.push(root); while(!q.empty()) { TreeNode* c= q.front(); q.pop(); swap(c->left,c->right); if(c->left!=NULL) q.push(c->left); if(c->right!=NULL) q.push(c->right); } return root; } I hope this tutorial hel...
    Post a Comment
    Read more