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Gottfried w. leibniz
Gottfried w. leibniz
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Gottfried Liebniz was known as the last “Universal Genius” until Mr. Fitterer was born that is, but I am assigned to write this essay about Leibniz. Leibniz had many achievements in metaphysics, epistemology, logic, philosophy of religion, as well as mathematics, physics, geology, jurisprudence, and history. A French philosopher named Denis Diderot was even stunned by some of Leibniz’s work, “Perhaps never has a man read as much, studied as much, meditated more, and written more than Leibniz… What he has composed on the world, God, nature, and the soul is of the most sublime eloquence. If his ideas had been expressed with the flair of Plato, the philosopher of Leipzig would cede nothing to the philosopher of Athens.” as stated in one of his encyclopedia entries. Gottfried Wilhelm Leibniz was born in Leipzig, Germany, and went to a university at the age of 14, where his father was the professor of moral philosophy. He later attended Altdorf to earn his doctoral degree at the age of 20. Even though he was exceptionally talented leaving such universities, he was not recognized for his talents and spent the next 40 years in small positions. He later met Johann Christian, who introduced him to the archbishop of Mainz, Johann Philipp von Schonborn. Leibniz had many contributions to math and science. He created his own form of Binary Arithmetic with an attempt to reduce complex ideas to there simplest forms. His binary representations are still used today in modern computers. He also created a calculating machine that he wanted to use to make an easier way to create fewer mistakes. The most important part of the machine was a geared-wheel that had numbers along its teeth that allowed multiplication by simply turning a handle; this simple piece was used in all calculators up until electronic calculators were created. Calculus was easily one of Leibniz’s most important contributions to math; his main purpose was to simplify the then complex math. He created two symbols that will forever be used in math. The ‘d’ notation for differentiation, and the other was the integral sign; used to find the areas under curves. Some of Leibniz’s ideas were so complex they couldn’t be understood until the early 20th century. Leibniz also is now considered the creator of calculus, so was Newton, some say Leibniz plagiarized from Newton but was proven that Leibniz’s discoveries were completely original.
Elie Wiesel was born in Sighet Transylvania on September 30, 1928. Prior to being taken under the Nazi 's rule, he decided to pursue Religious studies,as his father did. He grew up with his parents and three sisters. in the year 1944, when Elie was 15 years old,
Born in 1732 in Maryland by an affluent farmer, he later moved in 1740 to Dover, Delaware, where he was educated at a young age. In 1750 he started to study law in Philadelphia. In 1753 he went to England to continue to study law at the London's Middle Temple. He returned to Philadelphia in 1757 and became an important lawyer.
Rene Descartes was one of the most influential thinkers in the history of the philosophy. Born in 1596, he lived to become a great mathematician, scientist, and philosopher. In fact, he became one of the central intellectual figures of the sixteen hundreds. He is believed by some to be the father of modern philosophy, although he was hampered by living in a time when other prominent scientists, such as Galileo, were persecuted for their discoveries and beliefs. Although this probably had an impact on his desire to publish controversial material, he went on to devise works such as the Meditations on First Philosophy and the Principles of Philosophy Aside from these accomplishments, his most important and lasting mathematical work was the invention of analytic geometry. It seems that the underlying point of Descartes’s philosophy is to specify exactly what it is that we are sure we know.
The Famous and Brilliant, Albert Einstein, was born in Germany in 1879. Einstein was born into a Jewish family, and grew up in Munich, Germany, where his father and uncle collectively ran a company that produced electrical equipment. Later in his childhood, Einstein’s family moved to Italy, then to Switzerland not long after. In 1896, Einstein renounced his German citizenship so that he would be able to avoid the Obligatory military service.
His book Stereometrica Doliorum formed the basis of integral calculus. First to explain that the tides are caused by the Moon (Galileo rebuked him for this). First to use stellar parallax caused by the Earth's orbit to try to measure the distance to the stars; the same principle as depth perception. First to suggest that the Sun rotates about its axis in Astronomia Nova First to derive the birth year of Christ, that is now universally accepted.
It is interesting to note that the ongoing controversy concerning the so-called conflict between Wilhelm Gottfried Leibniz and Isaac Newton is one that does not bare much merit. Whether one came up with the concepts of calculus are insignificant since the outcome was that future generations benefited. However, the logic of their clash does bear merit.
Galileo helped Mathmeticians with his dicoveries of physics! While Galileo's application of mathematics to experimental physics was innovative, his mathematical methods were the standard ones of the day. The analysis and proofs relied heavily on the Eudoxian theory of proportion, as set forth in the fifth book of Euclid's Elements. This theory had become available only a century before, thanks to accurate translations by Tartaglia and others; but by the end of Galileo's life it was being superseded by the algebraic methods of Descartes. Galileo produced one piece of original and even prophetic work in mathematics: Galileo's paradox, which shows that there are as many perfect squares as there are whole numbers, even though most numbers are not
Many years ago humans discovered that with the use of mathematical calculations many things can be calculated in the world and even the universe. Mathematics consists of many different operations. The most important that is used by mathematicians, scientists and engineers is the derivative. Derivatives can help make calculations of anything with respect to another event or thing. Derivatives are mostly common when used with respect to time. This is a very important tool in this revolutionary world. With derivatives we can calculate the rate of change of anything with respect to time. This way we can have a sort of knowledge of upcoming events, and the different behaviors events can present. For example the population growth can be estimated applying derivatives. Not only population growth, but for example when dealing with plagues there can be certain control. An other example can be with diseases, taking all this events together a conclusion can be made.
Ever wonder how scientists figure out how long it takes for the radiation from a nuclear weapon to decay? This dilemma can be solved by calculus, which helps determine the rate of decay of the radioactive material. Calculus can aid people in many everyday situations, such as deciding how much fencing is needed to encompass a designated area. Finding how gravity affects certain objects is how calculus aids people who study Physics. Mechanics find calculus useful to determine rates of flow of fluids in a car. Numerous developments in mathematics by Ancient Greeks to Europeans led to the discovery of integral calculus, which is still expanding. The first mathematicians came from Egypt, where they discovered the rule for the volume of a pyramid and approximation of the area of a circle. Later, Greeks made tremendous discoveries. Archimedes extended the method of inscribed and circumscribed figures by means of heuristic, which are rules that are specific to a given problem and can therefore help guide the search. These arguments involved parallel slices of figures and the laws of the lever, the idea of a surface as made up of lines. Finding areas and volumes of figures by using conic section (a circle, point, hyperbola, etc.) and weighing infinitely thin slices of figures, an idea used in integral calculus today was also a discovery of Archimedes. One of Archimedes's major crucial discoveries for integral calculus was a limit that allows the "slices" of a figure to be infinitely thin. Another Greek, Euclid, developed ideas supporting the theory of calculus, but the logic basis was not sustained since infinity and continuity weren't established yet (Boyer 47). His one mistake in finding a definite integral was that it is not found by the sums of an infinite number of points, lines, or surfaces but by the limit of an infinite sequence (Boyer 47). These early discoveries aided Newton and Leibniz in the development of calculus. In the 17th century, people from all over Europe made numerous mathematics discoveries in the integral calculus field. Johannes Kepler "anticipat(ed) results found… in the integral calculus" (Boyer 109) with his summations. For instance, in his Astronomia nova, he formed a summation similar to integral calculus dealing with sine and cosine. F. B. Cavalieri expanded on Johannes Kepler's work on measuring volumes. Also, he "investigate[d] areas under the curve" ("Calculus (mathematics)") with what he called "indivisible magnitudes.
Leonardo created five mathematical works during his lifetime, and four of these became popular books about his discoveries. It has later been discovered that during his lifetime
Born in the Netherlands, Daniel Bernoulli was one of the most well-known Bernoulli mathematicians. He contributed plenty to mathematics and advanced it, ahead of its time. His father, Johann, made him study medicine at first, as there was little money in mathematics, but eventually, Johann gave in and tutored Daniel in mathematics. Johann treated his son’s desire to lea...
...ocity. On the other hand, Leibniz had taken a geometrical approach, basing his discoveries on the work of previous thinkers like Fermat and Pascal. Though Newton had been the first to derive calculus as a mathematical approach, Leibniz was the first one to widely disseminate the concept throughout Europe. This was perhaps the most conclusive evidence that Newton and Leibniz were both independent developers of calculus. Newton’s timeline displays more evidence of inventing calculus because of his refusal to use theories or concepts to prove his answers, while Leibniz furthered other mathematician’s ideas to collaborate and bring together theorems for the application of calculus. The history of calculus developed as a result of sequential events, including many inventions and innovations, which led to forward thinking in the development of the mathematical system.
Albert Einstein was born on March 14, 1879, to Hermann and Pauline Einstein, in Ulm, Württemberg, Germany (“Albert Einstein”). Despite being Jewish, Einstein, his parents, and his sister Maja did not observe Jewish practices, and Albert actually attended a Catholic elementary school (“Albert Einstein”). Einstein soon developed a strong love of math and science, even teaching himself Euclidean geometry at the young age of twelve (“Albert Einstein”). In his teenage years, he attended Luitpold Gymnasium, where he frequently clashed with authorities and resented the school regimen, even writing in his later years, “that the spirit of learning and creative thought were lost in strict rote learning” (“Albert Einstein”). Around this time, he wrote his first scientific paper, “The Investigation of the State of Aether in Magnetic Fields” (“Albert Einstein”). In 1895, he dropped out of high school in order to reunite with his family, which had since then relocated to Pavia and left him behind to finish his education (“Albert Einstein”).
“Anyone who has never made a mistake has never tried anything new.” The man who made countless mistakes and learned greatly from them spoke these wise words. Of all the scientists to originate from the nineteenth and twentieth century, his name is acknowledged by nearly all living people. Albert Einstein, a man whose name is practically parallel to a genius, is one of history’s most noteworthy figures (Willsey). He had made a remarkable, positive impact on society through his works and contributions to science.
The 17th Century saw Napier, Briggs and others greatly extend the power of mathematics as a calculator science with his discovery of logarithms. Cavalieri made progress towards the calculus with his infinitesimal methods and Descartes added the power of algebraic methods to geometry. Euclid, who lived around 300 BC in Alexandria, first stated his five postulates in his book The Elements that forms the base for all of his later Abu Abd-Allah ibn Musa al’Khwarizmi, was born abo...