Differential algebraic geometry
Alright kiddo, let me explain what differential algebraic geometry is in a really simple way.
Do you know what geometry is? It's the study of shapes and spaces, like squares and circles and even 3D shapes like cubes and spheres.
Now, do you know what algebra is? It's like a secret language for math where we use letters to stand for numbers. For example, instead of writing 3+2=5, we could write x+y=z.
Differential algebraic geometry is when we use both geometry and algebra to study things that change over time. We call these changing things "differential equations".
Say you have a ball that you throw up in the air. It's moving and changing over time, so we can use differential algebraic geometry to study how it's moving and how fast it's going at any given time.
Does that make sense to you, kiddo?
Do you know what geometry is? It's the study of shapes and spaces, like squares and circles and even 3D shapes like cubes and spheres.
Now, do you know what algebra is? It's like a secret language for math where we use letters to stand for numbers. For example, instead of writing 3+2=5, we could write x+y=z.
Differential algebraic geometry is when we use both geometry and algebra to study things that change over time. We call these changing things "differential equations".
Say you have a ball that you throw up in the air. It's moving and changing over time, so we can use differential algebraic geometry to study how it's moving and how fast it's going at any given time.
Does that make sense to you, kiddo?