Thanks for watching! Sir Isaac Newton (1642-1727) was an English physicist and mathematician who discovered many important things in his lifetime. He was one of the main contributors to the calculus that we know today. He was appointed Lucasian Professor of Mathematics in 1669 of the University of Cambridge Calculus Calculus Today Leibniz Gottfried Wilhelm Leibniz (1646-1716) was a German that studied math and philosophy among other things throughout his life. He excelled insanely as a child and this led to his contributions in many of the fields he studied. His discoveries were very similar to Newton's and caused a quarrel of sorts between the two. Gauss Euler Leonhard Euler (1707-1783) was a Swiss physicist and mathematician. He first studied at the Petersburg Academy in Russia and then was invited to work in Berlin by King Frederick the Great. Although he began to lose his sight when he was 28, Euler made significant contributions to geometry and calculus throughout his lifetime. Newton Contributions to Calculus Leibniz developed his side of calculus independently of Newton. His works included the symbols for calculus (which we still use today), product rule, infinitesimal paradoxical properties, and many other basic pieces of calculus. Contibutions to Calc Leibniz Newtonian Contributions Newton contributed many things to Calculus. He found the relation of instantaneous change and the area under a curve(which later became part of the FTC), he based his calculus on continuity, and said that the derivative was the ultimate ratio of change. These were only a couple of the many contributions. Product rule Newton Fundamental Theorem of Calculus: The relationship between the derivative and the integral. (Area Under a Curve and Instantaneous Rate of Change)

Newton's Law of Cooling: The rate of loss of heat by a body is directly proportional to the temperature difference between system and surroundings, provided the difference is small.

dT/dt=k(Tt-Ts)

Tt=Temp at time t

Ts=Temp of Surroundings Integral Derivative Gauss Euler Contributions Some of Leonhard's countless discoveries include: Euler's method (for approximating values of differential equations), Euler's angle (to specify the orientation of a rigid body), the Latin Square (inspired SuDoku), and the Euler-Maclaurin formula (for approximating integrals by finite sums). He also was the first mathematician to use the symbol pi and introduced e, i, and f (x). f(x) i e Carl Friedrich Gauss (1777-1855) was a German mathematician and physical scientist who made significant contributions in many fields. He is sometimes referred to as the "Prince of Mathematicians" and is ranked as one of history's most influential mathematicians. Gauss found a faster way to add the numbers from 1 to 100 (or any number, n) by recognizing that the sum of opposite pairs added to (n + 1). He is also responsible for the development of the normal curve (which is used in statistics) and the line of best fit

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