| Leonhard Euler | Gottfried Leibniz | Bernhard Riemann | Interesting Facts | Math Concepts Related to the Mathematicians |
|---|---|---|---|---|
|
Power series, power series expansions, Euler's method, Differential equations, Solved the Basel problem
Name one of his discoveries.
|
Developed limit functions, invented derivatives, discovered infinite series, found the integral form
Name one of his discoveries.
|
Clarified the Integral, Riemannian Geometry, Riemann hypothesis, Riemann Zeta function, important advancements in real analysis
Name one of his discoveries.
|
his sister's friend
Who did Riemann marry?
|
(x^2)/2 + C
Find the indefinite integral:
∫x dx |
|
Analytical Geometry in 2D and 3D, Infinite Series, Foundation of a Systematic Theory of Algebraic Functions, Astronomy, Medicine, Language, physicsName o
Name one of his branches of study.
|
Independently invented the integral and differential calculus; infinitesimal calculus
Name one of his branches of study.
|
Calculus, physics
Name one of his branches of study.
|
They both decided not to publish their work until a few years after discovering it.
Why was it unclear who discovered Calculus first?
|
Compounded continuously (Pe^(rt))
Name one formula that uses Euler's number(e).
|
|
Basel, Switzerland
Where is Euler from?
|
Germany
Where is Leibniz from?
|
Breselenz in Northern Germany
Where is Riemann from?
|
1670s
Around what time period did Leibniz and Newton discover calculus?
|
dy/dx
How do we write "the derivative of y with respect to x" in the Leibniz notation?
|
|
mathematical physics
What field of study led Euler to solve differential equations?
|
Logician, philosopher, political advisor, metaphysician
Name one of his careers(other than mathematician).
|
relativity
Riemannian Geometry created the mathematical foundation of Einstein's general theory of __________.
|
Staring at the sun without proper safety equipment, cataral
Name own way Euler lost his eyesight.
|
infinite sum of 1/n!
What is the formula of Euler's Number?
|
|
arctangent, e
Euler developed the power series and power series expansions for _______________. Name one of the two.
|
No one; he worked independently.
Did Leibniz work with anyone to develop integral and differential calculus? If so, then who did he work with?
|
So far, all calculations have not found any zeros that are not on the critical line. Since there are infinitely many zeroes to check, computer calculations can't verify the Riemann sum.
Why is it so hard to find a proof or a disproof of the Riemann hypothesis?
|
Shy
Was Riemann shy or outgoing?
|
S= a/(1-r)
What is the formula for finding the sum to a geometric infinite series?
|
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