Ibn-e-Maryam Academy

Mathematics leads to God  Mathematics is the subject and field of knowledge which contains the Truth statements. Even if we consider the basic calculations, there are fixed rules which are just discovered by human mind, they can't be changed. Similarly, there are many formulas and theorems which are always facts. For example, Pythagorean theorem was given by Pythagoras 2500 years ago and it is still valid and will always be.  The question arises why there are fixed rules and not just random raw based calculations? Moreover, even if there were rules by chance, how such complex human mind came into existence from lifeless matter which discovered these rules? Moreover, science has discovered many laws of nature which are mathematical equations. For example, gravitational force between any two bodies follows the following law: F= G(m_1)(m_2)/r^2 Where G is gravitational constant= 6.67×10^-11 Nm^2kg^-2, m_1, m_2 are masses of two given bodies and r is distance between their centers...

In this article, we explore some basic concepts which are used almost in every area of mathematics.  Axiom A self-evident statement which needs not to be proved and can be used as basis of the argument. Lemma A lemma is a minor theorem which needs to be proved in the process of proving a major theorem. Theorem  A theorem is a statement which can be shown true by logical deduction from definitions, axioms or already established theorems. Proof An argument or a finite sequence of established formulas or proved statements which lead to validate the theorem or the formula. Corollary  A theorem of less importance which can be readliy proved from the theorem.  Remark A statement which highlights the important features of a theorem or explore the connections between different mathematical concepts.

 We know that the prime numbers are the natural numbers greater than 1 and divisible by only 1 and the number itself. Any natural number greater than 1 which is divisible by more than two factors, that is a composite number. Today, we will know the way to test whether the given number is prime or not. Trial division  Trial division is the primality test. The idea is that: If a number n is to be checked whether it is a prime or not, we simply need to see if it is divisible by any prime number between 2 and √n, it is composite otherwise it is prime. For example, if  we take n=61. We need to check the prime numbers between 2 and √61. It means upto 7 because 7<√61<8.  These prime numbers are 3, 5, 7 and none of these divides 61. So 61 is prime. Why to check upto √n and not above? The simple answer to this question is that for any number greater than or equal to √n to be the divisor of n, there must be a divisor of n less than √n. We explain it by example: Let's con...

 We all possess the most valuable things in our life. Indeed, the life itself is a great blessing and worthful. But to lead life in the successful way, we need to take care of our time. Since every human being has the same twenty four hours daily, but success and satisfaction is obtained only by the people who manage their time efficiently. How can we do that? We need to focus on these rules in order to live an organized daily life. 1. Establish daily routine  Time management can only be done if we make and adjust plans on daily basis. Since, every day brings some new tasks. 2. List your tasks Think what tasks are to be done this day. List your tasks every day. 3. Prioritize your tasks Analyse the tasks to find out more important ones so that more emphasis should be given to these tasks. 4. Assign time and arrange After important tasks are highlighted, now the proper time should be planned for every task and arrange them. 5. Concentrate on work The most important aspect of tim...

The word "mathematics" is one of the most common words that almost every person is familiar. As we think about this word, our minds visualize the concept of counting and calculations. Is it just that? We try to answer this in the following. What is Mathematics? Mathematics is the field of study which focuses on numbers, shapes, space and patterns. So, counting and calculations are a part of mathematics but it's scope is much larger. Basic mathematics which includes simple calculations is a part of our daily life whereas higher mathematics is related to more complex sciences and other applications. Etymology  The word 'mathematics' is derived from Greek word 'máthēma' which means 'something learned, knowledge'. In ancient times of Greek mathematicians, word 'mathematician' was not considered as is today but about learned people. Later on, English language adopted this term for mathematical discipline. Areas of Mathematics In ancient times, m...

Welcome to My Blog  I'm glad to have you on my blog. As you know, blogs are one of the best means to convey one's thoughts to the world and actively engage with people. So, I have created my blog to share my services. My Introduction My name is Muhammad Hammad. I am an online Mathematics teacher and a writer. In this blog, I am going to present mathematical ideas in a comprehensible way. Moreover, mathematical theorems and solutions related to mathematical problems will also be shared. I'm here to provide help and guidance to the students. If you like my mathematical explanations, you can contact me for online tuition services. Moreover, regarding posts on this blog, feel free to comment, I welcome you! Well-wisher, Muhammad Hammad 

بِسْمِ اللّٰہِ الرَّحْمٰنِ الرَّحِیْمِ In the name of Allah, the most Gracious, the most Merciful  اَللّٰهُمَّ صَلِّ عَلٰی مُحَمَّدٍ وَّعَلٰی اٰلِ مُحَمَّدٍ كَمَا صَلَّيْتَ عَلٰی اِبْرَاهِيْمَ وَعَلٰی اٰلِ اِبْرَاهِيْمَ اِنَّكَ حَمِيْدٌ مَّجِيْدٌ اَللّٰهُمَّ بَارِكْ عَلٰى مُحَمَّدٍ وَّعَلٰی اٰلِ مُحَمَّدٍ كَمَا بَارَكْتَ عَلٰی اِبْرَاهِيْمَ وَعَلٰی اٰلِ اِبْرَاهِيْمَ اِنَّكَ حَمِيْدٌ مَّجِيْدٌ O Allah, bestow Your favor on Muhammad and on the family of Muhammad as You have bestowed Your favor on Ibrahim and on the family of Ibrahim, You are Praiseworthy, Most Glorious. O Allah, bless Muhammad and the family of Muhammad as You have blessed Ibrahim and the family of Ibrahim, You are Praiseworthy, Most Glorious.