History
Gauss's Laws
How to Relate Back to Creativity and TOK
100
He is known for his math, and is considered to be one of the greatest mathematicians of the 19th century.
Who is Gauss?
100
A proof that every algebraic equation has at least one root or solution.
What is the Fundamental Theorem of Algebra?
100
Gauss did not publish his findings as he was too afraid of scandal.
What is Gauss known for not doing?
200
April 30, 1777 (in Brunswick, Germany)
What is Gauss's Birthday?
200
The theorem says that the curvature of a surface can be determined entirely by measuring angles and distances on the surface. That is, curvature does not depend on how the surface might be embedded in 3-dimensional space or 2-dimensional space.
What is Theorema Egregium (Remarkable Theorem)?
200
The mathematicians that published their accounts of a new, non-Euclidean geometry in 1830.
Who are János Bolyai and Nikolay Lobachevsky?
300
By figuring out that 1+100=101, 2+99=101, 3+98=101, so that he could find 50 pairs of numbers that each add up to 101. Thus, 50 times 101 will equal 5,050.
How did Gauss solve his arithmetic problem in school?
300
It was the relationship between the flow of a vector field through a surface to the behavior of the vector field inside the surface.
What is Divergence Theorem or Gauss' Theorem?
300
Gauss began to doubt the a priori truth of it and thought it might be empirical. He thought there existed a better way to describe geometric space and therefore questioned Euclidean Geometry.
Why did Gauss question Euclidean Geometry?
400
It was that a regular polygon with 17 sides could be drawn using just a compass and straight edge.
What was his first significant discovery?
400
His law is relating to the distribution of electric charge to the resulting electric field.
What is Gauss' Law?
400
Gauss came up with different findings that related to non-Euclidean geometry such as the concept of intrinsic curvature that played a big role in it.
How did Gauss contribute to non-Euclidean geometry?
500
A proof that every algebraic equation has at least one root or solution. This theorem had challenged mathematicians for centuries.
What is the fundamental theorem of algebra?
500
It states that the magnetic field B has divergence equal to zero, in other words, that it is a solenoidal vector field.
What is Gauss's Law for Magnetism?
500
It shows that math is created by humans in order to better understand the world/ourselves. Gauss deduced/found new combinations within a system.
How was Gauss's work creative?
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