Geeks for Geeks

Contents

Why highlight the Geeks for Geeks website which is geared for computer programmers? Computer programmers are not mathematicians but they need to conceptually and mechanically understand mathematics concepts to program computers! These referenced web pages are another way to learn the concepts of mathematics from a different standpoint, and to see how these concepts are used in real life.

Geeks for Geeks

GeeksforGeeks is a leading platform that provides computer science resources and coding challenges for programmers and technology enthusiasts, along with interview and exam preparations for upcoming aspirants. With a strong emphasis on enhancing coding skills and knowledge, it has become a trusted destination for over 12 million plus registered users worldwide. The platform offers a vast collection of tutorials, practice problems, interview tutorials, articles, and courses, covering various domains of computer science.

Our exceptional mentors hailing from top colleges & organizations have the ability to guide you on a journey from the humble beginnings of coding to the pinnacle of expertise. Under their guidance watch your skills flourish as we lay the foundation and help you conquer the world of coding.

Our brand is built on the pillars of expertise, accessibility, and community. We strive to empower individuals to enhance their programming skills, to bridge the gap between academia and industry, and provide a supportive community to the learners. GeeksforGeeks is committed to promoting technological advancement and providing opportunities for growth in the ever-evolving field of computer science.

Algebra

“Binomial Theorem: Formula, Proof, Binomial Expansion and Examples.” 2024. GeeksforGeeks. GeeksforGeeks. August 8. https://www.geeksforgeeks.org/binomial-theorem/.

Binomial Theorem is a theorem that is used to find the expansion of algebraic identity (ax + by)ⁿ. We can easily find the expansion of (x + y)², (x + y)^3, and others but finding the expansion of (x + y)²¹ is a tedious task and this task can easily be achieved using the Binomial Theorem or Binomial Expansion. Binomial theorem is used to find the expansion of two terms hence it is called the Binomial Theorem. The exponent value in the Binomial expansion can also be a negative value or fraction value.

“Use of (a+b)² in Real Life.” 2024. GeeksforGeeks. GeeksforGeeks. April 11. https://www.geeksforgeeks.org/use-of-ab%c2%b2-in-real-life/.

The formula (a + b)², is often taught in basic algebra classes this simple formula represents the square of a sum and it is used in many practical situations like calculating areas and volumes and understanding financial concepts. This article looks at the (a + b)² formula and how it is used beyond textbooks. We will break down the formula explain why it is important and show how it is used in different industries.

Calculus

“Real Life Applications of Continuity.” 2024. GeeksforGeeks. GeeksforGeeks. April 4. https://www.geeksforgeeks.org/real-life-applications-of-continuity/.

Continuity is one of the basic properties of functions that help us to predict the flow of functions without abrupt changes. In mathematics, a function is said to be continuous in a given interval if there is no break in the graph of the function in the entire interval range. In this article, we take a look at continuity in real-life situations and its correct use in difficult situations.

Complex Analysis

“Real Life Applications of Analytic Function.” 2024. GeeksforGeeks. GeeksforGeeks. April 12. https://www.geeksforgeeks.org/real-life-applications-of-analytic-function/.

A fundamental concept in complex analysis and analytical functions has extensive use in a variety of disciplines including mathematics, physics and more. These functions have derivatives of all orders within their domain and can be represented as power series. The analytical functions are useful in resolving practical problems and are essential for comprehending how functions behave in complicated contexts.

Game Theory

“Real-Life Applications of Game Theory.” 2024. GeeksforGeeks. GeeksforGeeks. April 23. https://www.geeksforgeeks.org/real-life-applications-of-game-theory/.

Game theory refers to a branch of mathematics and economics that deals with strategy decision-making, in situations where the outcome of one person’s choice depends on the outcome of another person’s choice. The framework is designed to analyze the interactions of rational agents and anticipate their behaviour under various scenarios. In this article we will learn about, the application of game theory to real life, its impact on today’s technology, and how it affects daily life.

Graph Theory

“Mathematics: Graph Theory Basics – Set 1.” 2023. GeeksforGeeks. GeeksforGeeks. October 5. https://www.geeksforgeeks.org/mathematics-graph-theory-basics-set-1/.

“Mathematics: Graph Theory Basics – Set 2.” 2024. GeeksforGeeks. GeeksforGeeks. August 27. https://www.geeksforgeeks.org/mathematics-graph-theory-basics/.

Graph theory is a basic branch of discrete mathematics that mainly focuses on the relationship between objects. These objects are called vertices and these vertices are joined by edges. Graphs are common in computer science, network analysis, and many other everyday uses because they provide a good representation of connection, relationship, and process. Here we shall discuss graph theory, different types of graphs, terms used in the subject, and how to solve sample problems.

Mathematics

“Applications of Irrational Numbers: Real Life Uses & Applications.” 2024. GeeksforGeeks. GeeksforGeeks. July 26. https://www.geeksforgeeks.org/real-life-applications-of-irrational-numbers/.

Irrational numbers are a subset of real numbers and are numbers that can not be represented in p/q form. Irrational numbers are very useful in real life. There are many real-life uses and applications of irrational numbers including math, geometry, architecture, physics, engineering, cryptography, and chaos theory. In this article, we will explore the significance of irrational numbers and their applications in real life.

“Applications of Partial Fractions in Real-Life.” 2024. GeeksforGeeks. GeeksforGeeks. April 11. https://www.geeksforgeeks.org/applications-of-partial-fractions-in-real-life/.

Applications of Partial Fractions: Partial Fractions is a concept of mathematics used to break down bigger and complex fraction into simpler fractions and thus making them simpler to solve and operate. Partial fractions have various uses and application in real life which are added in the article below. In this article we have covered, Partial fraction definition, application of partial fractions, and others in detail.

“Cube Root Function: Definition, Graph, and Examples.” 2024. GeeksforGeeks. GeeksforGeeks. March 14. https://www.geeksforgeeks.org/cube-root-function/.

Cube root of a number is denoted as f(x) = ∛x or f(x) = x^⅓, where x is any real number. It is a number which, when raised to the power of 3, equals to x. The cube root function is the inverse of the cubic function f(x) = x³. A cube root function is a one-one and onto function. In this article, we will learn about the meaning of the cube root function, differentiation, and integration of the cube root function, domain and range of the cube root function, properties of cube root functions, and graphing cube root function.

“Use of Radicals in Real-Life.” 2024. GeeksforGeeks. GeeksforGeeks. April 19. https://www.geeksforgeeks.org/use-of-radicals-in-real-life/.

Radicals, or square roots, are more than just numbers on paper—they are a part of our everyday lives. From architecture to technology, understanding and using radicals helps solve real-world problems. In this article we explore how concepts of Radicals are applied across various fields, making complicated tasks simpler and more efficient.

“Uses of Square Numbers in Real-Life.” 2024. GeeksforGeeks. GeeksforGeeks. April 18. https://www.geeksforgeeks.org/uses-of-square-numbers-in-real-life/.

Square numbers are an essential concept in mathematics, representing the result of multiplying a number by itself. They hold significance not only in mathematical contexts but also in various aspects of our daily lives. This article explores the practical applications of square numbers in everyday scenarios, shedding light on their importance beyond the realm of mathematics.

Number Theory

“Number Theory: Definition, Topics, Examples & Problems.” 2024. GeeksforGeeks. GeeksforGeeks. July 31. https://www.geeksforgeeks.org/number-theory/.

Number Theory is the branch of mathematics that deals with the study of positive numbers and arithmetic operations based on them. Numbers are the mathematical entities that are used for counting. Since the development of human civilization, numbers have always been a source of fascination for various mathematicians across the globe. In this article on Number Theory, we will learn about what is number theory, the history of number theory, the number system, types of numbers, operations on numbers, arithmetic operations, and many more in detail.

“Real-Life Applications of Number Theory.” 2024. GeeksforGeeks. GeeksforGeeks. May 6. https://www.geeksforgeeks.org/real-life-applications-of-number-theory/.

Number theory is the branch of Mathematics which deals with study of integers and their properties. It is the mother of all those branches of mathematics that are used in the development of algorithms and solutions for complex problems in the fields of cryptography, computer science, business, and telecommunication.

Statistics

“Random Sampling Method – Simple Random Sampling Types & Examples.” 2024. GeeksforGeeks. GeeksforGeeks. June 11. https://www.geeksforgeeks.org/random-sampling/.

Random Sampling is a method of probability sampling where a researcher randomly chooses a subset of individuals from a larger population. In this method, every individual has the same probability of being selected. The researcher aims to collect data from as large a portion as possible of this randomly chosen subset.

“Real Life Applications of Bayes’ Theorem.” 2024. GeeksforGeeks. GeeksforGeeks. May 17. https://www.geeksforgeeks.org/real-life-applications-of-bayes-theorem/.

Bayes’ Theorem is a mathematical formula used to update the probabilities of hypotheses based on new evidence or information. It calculates the likelihood of an event occurring given the probability of another related event. It helps us make better guesses about the world based on the information we already have. In this article, we are going to learn about some real-life applications of Bayes’ Theorem.

“Real-Life Applications of Central Limit Theorem.” 2024. GeeksforGeeks. GeeksforGeeks. July 31. https://www.geeksforgeeks.org/real-life-applications-of-central-limit-theorem/.

Central Limit Theorem (CLT) is important to several disciplines, including biology, engineering, finance, and more. It clarifies how sample means behaved from any population, irrespective of how dispersed it was, and it shows how remarkably stable and predictable huge samples can be. This article explores the useful uses of the Central Limit Theorem in real-world situations, highlighting its importance.

“Statistics Cheat Sheet.” 2024. GeeksforGeeks. GeeksforGeeks. August 7. https://www.geeksforgeeks.org/statistics-cheatsheet/.

Statistics is like a toolkit we use to understand and make sense of information. It helps us collect, organize, analyze, and interpret data to find patterns, trends, and relationships in the world around us.

In this Statistics cheat sheet, you will find simplified complex statistical concepts, with clear explanations, practical examples, and essential formulas. This cheat sheet will make things easy when getting ready for an interview or just starting with data science. It explains stuff like mean, median, and hypothesis testing with examples, so you’ll get it in no time. With this cheat sheet, you’ll feel more sure about your stats skills and do great in interviews and real-life data jobs!