Infinitesimal calculus

Introduction! Hello, today I will be talking about John Wallis, which John Wallis is known for the partial credit in the Infinitesimal Calculus. What impact did John Wallis have? In 1655 John Wallis discovered the Infinite Product π4 = 23x43x45x65x67xxx, and his colleague William Brouncker transformed this into the Infinite Continued. Which today is what we know as Calculus. Which if you don’t know what Calculus is, it is the branch of mathematics that deals with the finding and derivatives and integrals of functions by methods originally based on the summation of infinitesimal differences. Facts you should know about John Wallis! The first fact I want to talk about is when and where he was born, and then when did he die? Where was John Wallis born you may be asking? Well…

Introduction Daniel I Bernoulli stated that “there is no philosophy which is not found upon knowledge of the phenomena, but to get any profit from this knowledge it is absolutely necessary to be a mathematician”(BrainyQuote). Daniel, a second generation mathematician, learned this valuable lesson, as his father and uncle had before him; mathematics is vital when interpreting the world. While Daniel was succeeded by a laundry list of mathematicians and physics, it is he and the men which preceded…

Evil is something that everyone sees and feels differently. The Merriam-Webster dictionary defines it in many ways ranging from “morally reprehensible” to simply “bringing sorrow, trouble, or destruction”. Obviously, evil is hard to describe and yet has been with us from the start. From a religious perspective, many cannot understand why an infinitely good being such as God would allow this evil suffering and pain to exist unless and feel betrayed by Him. Evil, to these people, is the direct…

He helped developed differential and integrals calculus along with Newton. Leibniz was born on july 1st 1646. He was the one who discovered the coefficients of systems of linear equations. Leibniz also has a important formula for pi. The formula concludes that 1 - ⅓ +⅕ - 1/7 + = Pi/4. Leibniz was so smart and discovered many thing. He was known to be the first computer scientist due to his binary numeral system. Besides the main founders there are also some not as famous people who helped find…

Chinenyenwa Amaechi Dahiya AP Calculus 16 October 2015 Every student who has ever asked an older adult for help with their math homework is very familiar with the phrase “This is not the type of math I did growing up”. The mathematics we have today greatly differs from that of earlier generations and time periods due to the dynamic nature of this field of study. Throughout history, many important individuals have contributed to the field of mathematics and have helped develop the theories,…

One of the first rules that is taught when learning Calculus is L’Hospital’s rule. The rule provides an easy technique to solve for a limit that has the indeterminate form 0/0. To get past this roadblock, L’Hospital’s rule allows for the individual differentiation of the numerator and denominator, and taking the limit of the result. If after the first application of the rule the limit once again produces the indeterminate form, it is possible to apply L’Hospital’s rule again. There is mystery…

Fundamental Theorem of Calculus The Fundamental Theorem of Calculus evaluate an antiderivative at the upper and lower limits of integration and take the difference. This theorem is separated into two parts. The first part is called the first fundamental theorem of calculus and states that one of the antiderivatives of some function may be obtained as the integral of the function with a variable bound of integration. The second part of the theorem, called the second fundamental theorem of…

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After the first import of mathematical ideas from the 6th century (Smith), there was no established notation for mathematics until Seki Takakazu (関 孝和) and his followers did so in the 17th century (Deal, Mathematics). As the Japanese language is written vertically from right to left, as opposed to horizontally from left to right, the resulting notation was very different to its western equivalents. The other prime example is enri. Similar to its western counterpart of calculus, this branch of…