Preview

differential calculus

Better Essays
Open Document
Open Document
1248 Words
Grammar
Grammar
Plagiarism
Plagiarism
Writing
Writing
Score
Score
differential calculus
History of Differential Calculus

Universidad Iberoamericana
September 20, 2013

Ever since men felt the need to count, the history of calculus begins, which together with Mathematics is one of the oldest and most useful science. Since men felt that need for counting objects, this need led to the creation of systems that allowed them to maintain control of their properties. They initially did it with the use of fingers, legs, or stones. But as humans continued developing intellectually, they achieved to implement systems or more advanced forms that allowed them to solve problems.
The Egyptians were the first civilization to develop mathematical knowledge. They devised numeral systems through hieroglyphs, representing the numbers 1, 10 and 100 through sticks and human figures. This system evolved into what we know today as the Roman system. Other important civilizations in history, such as the Babylonians, created other numeral systems, where the solution to the problem of counting the objects was solved with the implementation of a sexagesimal method. Civilizations as ancient China and ancient India used a hieroglyph decimal system, with the characteristic that these implemented the number zero.
The progress achieved ever since each culture implemented their numeral system are still used today. The algebraic advance of the Egyptians resulted in the resolution to significant equations. The correct implementation of the calculus arithmetic rule, by the Indians, increased mathematical knowledge, and led to the creation of irrational numbers.
In ancient Mesopotamia, we introduce the concept of reciprocal, plus solutions to different logarithmic problems, progress was such that it created algorithms for calculating sums of progressions. In geometry, it is believed that they knew the Pythagorean Theorem, though not as a general theorem. With no doubt, China played a big role in mathematical progress.
However, it was in Greece,



References: Rugamas, E. (04/16/2010) Matematicas. http://eelizabethrugamasl.blogspot.com/2010/04/linea-del-tiempo.html

You May Also Find These Documents Helpful

  • Powerful Essays

    Ap Calculus

    • 2722 Words
    • 11 Pages

    | A cell reference that refers to cells by their fixed position in a worksheet; an absolute cell reference remains the same when the formula is copied.…

    • 2722 Words
    • 11 Pages
    Powerful Essays
  • Good Essays

    Leonardo do Pisa’s influence on mathematics has been by and large unnoticed except for his role is broadening the use of the Hindu-Arabic numeral system. Leonardo is primarily known for the Fibonacci sequence which is a derivative of a mathematical problem from the Liber Abaci:…

    • 769 Words
    • 4 Pages
    Good Essays
  • Good Essays

    Smith, D. E. (1951). History of Mathematics: General Survey of the History of Elementary Mathematics (Vol. 1). New York: Dover Publications.…

    • 420 Words
    • 2 Pages
    Good Essays
  • Good Essays

    Calculus

    • 2150 Words
    • 9 Pages

    1. ht= -4.9t2+ 450, where t is the time elapsed in seconds and h is the height in metres.…

    • 2150 Words
    • 9 Pages
    Good Essays
  • Good Essays

    From the field of mathematics came Al-Kwarizmi's textbook on Algebra (document 4), which was used throughout Europe and beyond; and also Arabic numerals which were adopted from the Indians and used in a place-value system (document 4). These advancements were made possible because of the knowledge of both Indian and Greek mathematics, which were studied by Muslim scholars before the creation of any Islamic…

    • 551 Words
    • 3 Pages
    Good Essays
  • Good Essays

    religion. Roman’s also invented the numeral system that is still being used. First to have…

    • 588 Words
    • 3 Pages
    Good Essays
  • Good Essays

    Mathematics and Mayans

    • 1027 Words
    • 5 Pages

    Ancient Greek mathematics has been developed since the early seventh century B.C. which could also be called the period during the Hellenistic Mathematics. Some of the greatest Ancient Greek mathematicians were Pythagoras, Aristotle, Anaxagoras, Euclid, Archimedes, Thales, and Aristarchus. These Greek mathematicians were big on the development of geometry which is a subdivision of math that focuses on shapes, size, and the relativity of space. Although their number system was based on letters of the alphabet and used units of five and ten, they therefore were not big on the processes of Algebra. However the Greeks became the masters of calculating solutions concerning volume, lengths and areas using geometric methods and theorems to solve algebraic equations. Despite contributions to modern day arithmetic such as the Pythagorean Theorem and Euclidian Geometry the Greeks were missing one essential part of math, one number that modern day civilization mathematics would not be able to function without. The Mayans included this number in their mathematic…

    • 1027 Words
    • 5 Pages
    Good Essays
  • Powerful Essays

    Calculus

    • 1103 Words
    • 5 Pages

    The density of water is approximately one gram per cubic centimeter. It is dependent on its temperature, but the relation is not linear and is unimodal rather than monotonic (see table at left). When cooled from room temperature liquid water becomes increasingly dense, as with other substances, but at approximately 4 °C (39 °F), pure water reaches its maximum density. As it is cooled further, it expands to become less dense. This unusual negative thermal expansion is attributed to strong, orientation-dependent, intermolecular interactions and is also observed in molten silica.[22]…

    • 1103 Words
    • 5 Pages
    Powerful Essays
  • Powerful Essays

    1.Ibn Sina “Avicenna” (980-1037) compiled a medical encyclopedia that talked about the contagious nature of disease and how they could be spread by filthy water…

    • 1588 Words
    • 7 Pages
    Powerful Essays
  • Satisfactory Essays

    The Mayans mathematics has a lot of culture. Its been used in the past and used currently. The Mayan number system is based on twenties. It is very useful.…

    • 240 Words
    • 1 Page
    Satisfactory Essays
  • Good Essays

    For a civilization thriving in the years of B.C.E, they were almost incomprehensibly advanced. The Greeks started inventing mathematical formulas as early as the sixth century B.C. Ever since then they have been influencing architects…

    • 380 Words
    • 2 Pages
    Good Essays
  • Powerful Essays

    Nt1110 Unit 3 Assignment

    • 479 Words
    • 2 Pages

    The first known tool used to aid arithmetic calculations was the Abacus, devised by Sumerians and Egyptians before 2000 BC.…

    • 479 Words
    • 2 Pages
    Powerful Essays
  • Satisfactory Essays

    Boston Police Strike

    • 855 Words
    • 4 Pages

    Then man thought about numbers between 0 and 1. To give us fractions and decimals.…

    • 855 Words
    • 4 Pages
    Satisfactory Essays
  • Good Essays

    The history of calculus falls into several distinct time periods, most notably the ancient, medieval, and modern periods. The ancient period introduced some of the ideas of integral calculus, but does not seem to have developed these ideas in a rigorous or systematic way. Calculating volumes and areas, the basic function of integral calculus, can be traced back to the Egyptian Moscow papyrus (c. 1800 BC), in which an Egyptian successfully calculated the volume of a pyramidal frustum.[1][2] From the school of Greek mathematics, Eudoxus (c. 408−355 BC) used the method of exhaustion, which prefigures the concept of the limit, to calculate areas and volumes while Archimedes (c. 287−212 BC) developed this idea further, inventing heuristics which resemble integral calculus.[3] The method of exhaustion was later used in China by Liu Hui in the 3rd century AD in order to find the area of a circle. It was also used by Zu Chongzhi in the 5th century AD, who used it to find the volume of a sphere.[2]…

    • 332 Words
    • 2 Pages
    Good Essays
  • Good Essays

    Some may say mathematics aren’t all that important. There are actually thousands of different jobs that require some knowledge of mathematics. Without mathematics you wouldn’t that there is a big difference between $100 and $1,000. Although mathematics is used in everyday life, some may say creating games was way more important than anything. For others, the creation of games may be more important because that may be all they do, all day long. While that may be true, in someone else’s opinion math helped change the world for the better. Why for the better? Because math has brightened the future. A thousand years before Europeans made significant advances in the field, scholars in Muslim civilization were creating new mathematical…

    • 608 Words
    • 3 Pages
    Good Essays