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Mathematics articles — Page 4

Explore the ideas and history behind numbers, shapes, patterns and mathematical thinking. Choose an article below; its reading controls let you move between the available levels.

1,419 public articles · Page 4 of 30

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Fermat's Last Theorem

A man named Fermat had a math puzzle. He wrote it in a book. Many people tried to solve it. It took a long time. A man named Andrew Wiles finally solved it. Can you solve a puzzle?

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Fibonacci

A man named Fibonacci loved numbers. He lived a long time ago. He showed people a new way to count. This helped people do math fast. It helped them with money too. Do you like to count?

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Fibonacci sequence

Some numbers follow a fun rule. You add two numbers to get the next one. You can see this in trees and flowers. It is a pattern in our world. It helps us see how things grow. Can you find a pattern today?

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Field (mathematics)

You can use numbers to do many things. You can add or take away. You can also multiply or divide. These rules work the same way for many numbers. It helps us solve puzzles. Can you count your snacks?

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First-order logic

We use rules to talk about things. These rules help us group things. We can say if all things are the same. We can say if some things are special. This helps us solve big puzzles. It helps us use computers. Can you…

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Flux

Flux is a way to talk about flow. It shows how things move through a space. Think of water in a river. Or think of sunlight on the grass. It helps us see how much moves. Can you see things flow?

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Formal language

We use signs to make words. These signs follow rules. The rules help us build strings. Rules help computers talk too. It is like a game with patterns. Can you find a pattern?

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Formula

A formula is a short way to tell a story. It uses signs to show how things work. It helps us solve big puzzles fast. You can use them to count or measure. They make hard work easy. Can you find a pattern today?

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Fourier analysis

We can break sounds into parts. It is like a recipe. One sound has many pieces. This helps us hear music well. It even helps with pictures. Can you hear a pattern?

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Fourier series

You can make big shapes from small ones. We use simple waves to build them. This helps us see how heat moves. It helps us study sound too. It is a very cool way to look at things. Can you find a pattern in your room?

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Fourier transform

Music is made of many sounds. You can hear a whole song at once. But we can find each tiny sound inside. It is like splitting a cake into parts. This helps us see the notes. Can you hear the notes in a song?

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Fractal

Some shapes have many tiny parts. These parts look like the big shape. If you zoom in, you see more! It is like a pattern that never ends. It can look very pretty. Do you see the patterns?

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Functional analysis

Math can look at shapes and patterns. It can study how things move. It helps us learn about many things. It helps us know the world. Can you find patterns too?

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Function composition

You can do things in a row. First you do one step. Then you do another step. One step leads to the next. This helps us solve puzzles. It is like a chain of ideas. Can you think of a chain?

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Fundamental group

Think about a loop. A loop is a path that comes back home. It can go around a hole. This helps us see the shape of things. It is like a game of follow the leader. Can you find a loop?

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Fundamental theorem of algebra

Math can help us find answers. Some math puzzles have many answers. These answers can be special numbers. We can use them to solve things. It is like finding a hidden key. Do you like puzzles?

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Fundamental theorem of arithmetic

Numbers have special parts. Some numbers are made of small pieces. These pieces are called primes. You can always find the same pieces. It is like a secret code for each number. Can you find the pieces in a number?

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Fundamental theorem of calculus

Math helps us see how things change. It can show us how fast we move. It can also show us how much space we cover. These two things work together. They are like two sides of a coin. Can you find shapes in your room?

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Galois theory

Math helps us solve puzzles. It can tell us if a puzzle can be solved. Some math rules work for small groups. They do not work for big groups. This helps us find the truth. Can you find a pattern today?

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Game theory

We use math to study games. It helps us make good choices. We look at how people play. It also helps animals and computers. This math matters to everyone. Do you like to play games?

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Gamma function

Math helps us count things. It can show patterns. We can use it to connect dots. This helps us see a smooth line. It makes math work for all numbers. It is very useful. Can you find a pattern?

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Gaspard Monge

Gaspard Monge loved shapes. He used drawings to solve hard puzzles. He helped build schools for learning. His smart ideas help us draw things well. He was a great teacher. Do you like to draw shapes?

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Gaussian elimination

We can use math to solve puzzles. It helps us find missing numbers. We can swap rows or add them. This makes the math easier. It helps us find the answer. Can you solve a math puzzle?

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General topology

Math helps us see how things fit. We look at shapes. We see if they are one piece. We see if they stay close. It helps us learn about space. Do you like shapes?

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George Boole

George Boole loved math. He taught many students. He found new ways to use numbers. His ideas help us use computers today. His work matters a lot. Do you like math too?

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Gerolamo Cardano

A man named Cardano loved math. He studied many things. He helped sick people too. He even studied games with dice. He was very smart. Can you find a pattern today?

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G. H. Hardy

Hardy loved numbers. He was a great math teacher. He worked with a man named Ramanujan. They solved many hard puzzles together. Math helps us see patterns. It is a very cool way to think. Do you like math too?

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Gödel's incompleteness theorems

Math is a way to find truths. We use rules to solve puzzles. Some truths are hard to find. We can not find all of them with rules. This is a big mystery. Can you find a math puzzle?

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Golden ratio

Some shapes look very nice. You can find these shapes in plants. They can even be in art. We see them in nature too. It is a special way to grow. Do you see these shapes?

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Gottfried Wilhelm Leibniz

Gottfried was a man who loved to learn. He studied many things. He even made a machine to help with math. He found new ways to use numbers. His ideas help us today. Do you like to learn new things?

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Graph (discrete mathematics)

Dots can be joined by lines. These lines show how things connect. One dot might be a person. A line shows a link between them. It helps us see how things go together. It is like a map. Can you find a pattern in the…

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Graph of a function

We can draw lines to show how things change. These lines make a shape on a page. They can be a curve. It helps us see patterns. It is a tool for many jobs. Can you find a curve?

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Graph theory

Dots can be joined by lines. These lines show how things connect. You can see this in maps. It helps us see how things work. It is a fun way to look at the world. Can you find a pattern?

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Group (mathematics)

Some things move in a set way. You can turn a toy cube. It follows a rule. This rule keeps things in order. It helps us see patterns. Do you see patterns too?

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Group representation

Math can show us how things move. We can look at shapes. We can see how they turn or flip. This helps us learn about tiny bits of life. It also helps us learn about space. Can you find a shape that flips?

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Group theory

Some things have a special shape. You can turn them in many ways. The shape stays the same. This helps us learn about patterns. It is like a fun puzzle. Can you find a pattern?

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Harmonic analysis

Math can help us hear music. It looks at waves. It finds the notes in a sound. This helps us study things like tides. It is very cool! Can you hear the music in math?

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Hectare

We use a name for big land. It is called a hectare. It shows how much space a field has. It helps us talk about farms. This helps people plan where to live. Can you find a big field?

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Hermann Weyl

Hermann Weyl loved math. He studied how things move. He also looked at shapes. His work helps us learn about space. He was a very smart man. Do you like to count things?

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Hero of Alexandria

Hero was a smart man. He lived a long time ago. He made many cool things. He made machines that move with steam. He even made a machine for coins. He loved to solve puzzles. Can you find shapes in your room?

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Hilbert space

Math can help us see shapes. Some shapes have many sides. We can use math to measure them. It helps us learn about the world. Math is fun to use. Do you like to count?

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Hilbert's problems

A man named David Hilbert had big puzzles. He wrote down twenty-three math problems. He wanted people to solve them. Some people solved them. Some are still hard to do. Math helps us learn new things. Can you solve a…

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Holomorphic function

Some shapes stay the same. They might change size. But the way they look stays smooth. This helps us draw maps. It helps us see patterns. Can you find a shape? Do you see a pattern?

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Homological algebra

Math can look for patterns. It uses shapes and numbers. It helps us learn about things. We can find out how things fit. It is a way to see how things work. Can you find a pattern?

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Homology (mathematics)

We can use math to look at shapes. Some shapes have holes in them. A ring has a hole. A ball does not. Math helps us count these holes. It tells us how shapes are made. Can you find a shape with a hole?

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Homotopy

You can change one shape into another. You can bend and stretch it. It must stay in one piece. This is like turning a doughnut into a mug. It is a fun way to see shapes. Can you see a shape change?

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Hyperbola

A hyperbola is a special shape. It has two parts. They look like two bows. They are mirror images. You can see this shape in a shadow. It is a cool shape to find! Can you see any curves?

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Hyperbolic functions

Shapes can help us measure things. Some shapes are like circles. Other shapes look like curves. We use math to study these curves. It helps us learn about heat and light. Math is all around us. Do you like shapes?

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