Articles By

Hadd

Maximal solution to Cauchy problems

The maximal solution to Cauchy’s problems is a solution that gives full information on the physical model. In fact, we ...
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Algebra questions with answers

In this post, we give selected algebra questions with answers. The exercises focus on group theory and arithmetic. In fact, ...
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Delay equations in Banach spaces

The delay equations are an important class of differential equations. In fact, these equations are studied by both mathematicians and ...
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Exercises on polynomials

We offer exercises on polynomials with detailed proofs. In fact, our goal is to show the student how to calculate ...
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How to calculate integrals?

We show you how to calculate integrals using elementary methods. In addition, we teach you to study the properties of ...
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First-order differential equations

We discuss some facts about first-order differential equations for beginners. Such equations are important because many problems in our real ...
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Cauchy Lipschitz theorem for differential equations

In this article, we state and prove the Cauchy-Lipschitz theorem for the existence and uniqueness of solutions to nonlinear ordinary ...
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Binomial coefficients

We show how Binomial coefficients help simplify expressions. We notice that these coefficients are heavily used in probability calculus. On ...
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Complex Numbers: Introduction

Complex numbers are a fundamental concept in mathematics that extends the realm of real numbers. They are composed of a ...
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How to use mathematical induction?

We teach you how to use mathematical induction to prove algebraic properties. This technique is very useful and simple to ...
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Learn advanced Mathematics

In this article, we show a list of courses to learn advanced mathematics. Although, We offer tips and techniques that ...
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Elementary Mathematics: an overview

Elementary mathematics refers to courses in categories of numbers, inequalities, algebraic equations, calculus-like sequences, functions, integrals, and differential equations. If ...
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