BRANCHES OF MATHEMATICS
This mathematical branch quantifies uncertainty and analyzes the likelihood of events through the study of random variables and their distributions. It employs foundational concepts such as sample spaces, expected values, and the law of large numbers to model and interpret stochastic phenomena. Applications extend across diverse fields, including statistics, finance, and science, where it informs decision-making and risk management.
What is Probability?
It’s a number that's both famous and round, in circles and angles, its value is found. With digits that wander, never settling down, from start to infinity, in math it’s abound.
What is Pi?
This English mathematician is celebrated for independently developing calculus and for his influential work, "Principia Mathematica," which introduced the binomial theorem and the method of fluxions. He also made groundbreaking contributions to the study of infinite series and number theory, including the concept of mathematical limits and methods for solving polynomial equations, further solidifying his impact on the field of mathematics.
Who is Isaac Newton?
This theorem states that every positive integer can be uniquely represented as a product of prime numbers.
What is the Fundamental Theorem of Arithmetic?
When solving equations, this is the answer you seek. It’s like finding the perfect recipe: variables are balanced, and the equation holds true. In real life, it’s like determining the right interest rate for a loan or optimal price for a product
What is a Solution?
This mathematical discipline investigates the properties and relationships of points, lines, surfaces, and solids across various dimensions. It encompasses both Euclidean and non-Euclidean systems, exploring concepts like congruence and transformations. Essential for applications in architecture and engineering, it also underpins theories in topology and analytical systems, enhancing spatial reasoning and problem-solving skills.
What is Geometry?
. It’s a symbol that gathers, a sum in plain sight, from curves and from shapes, it helps you gain insight. With boundaries defined, it spans areas wide, unlocking the answers that numbers help guide.
What is Integral?
This mathematician, born in Switzerland, introduced the concept of a function, developed a formula linking complex numbers and trigonometry, and solved the famous Seven Bridges of Königsberg problem, publishing over 800 works despite becoming blind later in life.
Who is Euler?
This theorem states that differentiation and integration are inverse processes.
What is the Fundamental Theorem of Calculus?
It's adjacent side in all triangles and makes a ratio with the base to give hypotenuse .Essential for angle calculations, wave patterns & circular motion. It’s key to navigation, physics & engineering
What is Cosine?
This mathematical discipline emphasizes the manipulation of symbols and the rules governing their relationships to solve equations. It includes concepts such as variables, constants, and operations, as well as structures like groups, rings, and fields. Essential for higher mathematics, it has critical applications in computer science, cryptography, and engineering, influencing both theory and practice.
What is Algebra?
A symbol of joining, where numbers align, a mark of combining, both simple and fine. With each little factor, it grows and thrives, in calculations and proofs, It helps arrive.
What is Product symbol?
This infamous mathematician made extraordinary contributions to mathematical analysis, number theory, and continued fractions despite limited formal training. The number 1729 being very dear to this mathematician and him being very close to home. His collaboration with British mathematician G.H. Hardy led to significant advancements in the field of mathematics.
Who is Srinivasa Ramanujan?
This theorem states that any planar map can be colored using no more than four colors, with no adjacent regions sharing the same color.
What is the Four Color Theorem?
In math, this connected graph has no cycles or loops. With vertices & edges, it’s used in network optimization, & minimum connectors. . Essential in combinatorics & topology.”
What is a tree?
This branch of mathematics focuses on the study of change and motion, utilizing concepts such as limits, derivatives, and integrals. It provides the tools for analyzing continuous functions and their properties, enabling the calculation of rates of change and areas under curves. Essential in fields like physics, engineering, and economics.
What is Calculus?
A glimpse of the answer, in a number’s twin is seen, finding its partner helps you begin. In whispers of squares, It shows what is true, unraveling secrets in numbers for you.
What is Square Root?
This German mathematician, born in 1845, is best known for founding set theory and introducing the concept of different sizes of infinity. His groundbreaking work on transfinite numbers revolutionized mathematics, leading to the formulation of a theorem that states the set of all subsets of a set has a greater cardinality than the set itself. Despite facing significant criticism during his lifetime, his ideas have become fundamental to modern mathematics.
Who is Cantor?
Famously loved by all mathematicians, this equation combines five important constants to showcase the beauty of mathematics. It also contributed to proving that one of these five constants is transcendental.
What is Euler’s Identity?
Arranging objects in a specific order, this mathematical concept counts the ways to select & organize items. Think travel plans: 3 cities, 6 possible routes. Or lottery numbers: 6 balls, 720 possible combinations. Essential in coding, statistics & data analysis.
What is Permutation?
This mathematical branch delves into the intricate study of counting, arrangement, and selection of discrete structures within defined sets. It encompasses advanced concepts such as generating functions, the principle of inclusion-exclusion, and partition theory, providing essential tools for analysing permutations and combinations. Applications span computer science, optimization, and graph theory, where it informs algorithm design and resource allocation strategies.
What is Combinatorics?
A count that expands, with a shift in its flow, start from a whole, then unravel the math glow. In a dance of descending, multiply tight, each step reveals hidden might.
What is Factorial?
This German mathematician is often referred to as the "Prince of Mathematicians" for his profound contributions to number theory, including the fundamental theorem of algebra and a notable distribution in statistics. His work on modular arithmetic and least squares approximation has significantly influenced various fields, and he famously summed the integers from 1 to 100 in mere seconds as a child.
Who is Gauss?
It took 7 years for Andrew Wilis to develop the proof for this 17th Century conjecture and he finally proved it in 1994. The mathematician who initially claimed this equation (or conjecture) is also famous for a “little” theorem.
What is Fermat’s LITTLE Theorem?
From designing roller coasters to modeling population growth, this math process calculates accumulation & area. Calculates the tiny stuff.It’s key to physics, engineering & predicting real-world changes.
What is Integration?