Preview

Analysis of Babylonian Mathematics

Better Essays
Open Document
Open Document
1746 Words
Grammar
Grammar
Plagiarism
Plagiarism
Writing
Writing
Score
Score
Analysis of Babylonian Mathematics
As students, we are taught the basics about mathematics. What the core properties of addition, subtraction, multiplication and division mean. How they work, and if we are lucky, we go into a little history of these methods. For those of us who have learned history, we learned that the basis for modern mathematics came from the Greeks and their writings. While this is correct, to truly understand the historical aspect of mathematics and its origins, one must study a time before the Greeks, when math was a whole new language, and one we still today have not completely mastered.
Perhaps the most interesting group to study is one of the first known civilizations, the Babylonians from Mesopotamia; the land between the Tigris and Euphrates Rivers in modern day Iraq. The Mesopotamian people are considered the founders of the first sophisticated, urban cities, and the founders of writing and keeping records. It was then that the idea of writing evolved as a means to record the most essentials of founding a city, mathematics. As a people who flourished from the land, it has been determined that the main uses for a mathematical language were utilitarian. It is believed that agriculture was invented in Mesopotamia, as the land between the rivers provided for much fertile ground (5). Because of this, research has found that the Babylonians made a number system to represent livestock, produce, and their basic way of life. According to Elanor Robson, they used “…small clay ‘tokens’ or counters’, made into various geometric...shapes” (2) . For them, each counter had both a qualitative and a quantitative meaning. So, there was actually not a one-to-one correspondence and this leads to the belief that the earliest mathematics by the Babylonians must not have been for counting and solving purposes, but instead for accounting and manufacturing purposes (2).
From what we have discovered today, the Babylonians transcribed their work on many tablets written in what is today called



References: 1. William P. Berlinghoff and Fernando Q. Gonve, Math through the Ages, Expanded edition, MAA, Washington DC, 2004. 2. Elanor Robson. "Mesopotamian Mathematics: Some Historical Background." Oracc.meseum.org. University of Pennsylvania, n.d. Web. 3. Laura Smoller. "The Amazing History of Pi." Ualr.edu College of Information Science and Systems Engineering. Ualr.edu, Feb. 2011. Web. 12 Jan. 2013. 4. J Steuber. "History of Bases Used in Ancient Civilizations." Math.drexel.edu. Drexel.edu, n.d. Web. 15 Jan. 2013. 5. Jeff Suzuki, Mathematics in Historical Context, MAA, Washington DC, 2009. 6. "Mesopotamian Mathematics." Answers.com. Answers, n.d. Web. 10 Jan. 2013.

You May Also Find These Documents Helpful

  • Good Essays

    Mesopotamia DBQ

    • 357 Words
    • 2 Pages

    Many years ago at around 3500 B.C. Mesopotamians invented two things that would change the world forever. These inventions still influence our world today. Ancient Mesopotamia helped the world and still does, but if there wasn’t a written language everything would be a disaster, but two inventions helped the world and it was a written language and Hammurabi’s Code.…

    • 357 Words
    • 2 Pages
    Good Essays
  • Better Essays

    Summary By Loretta Kelley

    • 665 Words
    • 3 Pages

    Introduction From the opening line, author Loretta Kelley shows not only her passion for mathematics, but also how she feels mathematics is not being taught properly by most instructors. Kelly’s appeals to her audience by telling how many current math teachers do not include the history of math in their curriculum. Kelly feels this is an area where instructors can help to make math interesting to the masses. Without seeming overly critical, Kelly does a wonderful job getting her point across by showing which specific areas math can correlate with history. In doing so, Kelley presents the idea teaching mathematical history can capture the attention and imagination of students.…

    • 665 Words
    • 3 Pages
    Better 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

    Maria Ascher's *Mathematics Elsewhere,* identifies mathematical ideas that are present all over the world, and is "intended as another step toward a global and humanistic history of mathematics." (Ascher IV) This important volume clarifies how many universal mathematical concepts, both simple and complex, are used and understood by countless cultures worldwide, regardless of differences in geography, language, and era. By studying and widening the scope of the history and breadth of mathematical thought, Ascher argues that "we are supplying complexity and texture... [and] in short, enlarging our understanding of the variety of human expressions and human usages associated with the same basic ideas." (2)…

    • 900 Words
    • 4 Pages
    Good Essays
  • Good Essays

    Twelve hundred years before the Days of Nebuchadnezzar, King Hammurabi of the first Babylonian empire formulated the earliest known set of civil laws. These laws would be applied to every person in his kingdom. The laws would formally define the criminal, economic and social order within the empire.…

    • 413 Words
    • 2 Pages
    Good Essays
  • Powerful Essays

    Since the commencement of human existence, personal qualities such as: the pursuit of knowledge, the desire to expand ones horizons, and the inclination to establish and follow a dream, has significantly impacted society. From the earliest days, right up until the present time, a number of accomplishments have filled the vast expanse of time. Such accomplishments span from exemplary literary works, such as those of Cicero, Virgil, and Goethe; to philosophical breakthroughs of men like Rene Descartes who said, “I think therefore I am”, and finally to the unprecedented discoveries in the fields of mathematics and science. Among all the civilizations of time, those of the Pre-Columbian Era seem to have successfully applied mathematical concepts, mainly geometry and algebra, in a somewhat uncanny manner. One cannot all but question how engineers of today’s time, men and women with almost limitless resources, suffer periodic setbacks, while structures of the primitive Pre-Columbians have remained largely intact up until the present day. Clearly no one can compare the Golden Gate Bridge, Lincoln Tunnel, and Empire State building to Pre-Columbian structures, yet the simplistic success of these ancient people causes substantial curiosity. It seems, although only a personal conjecture, that through the analysis of modern day mathematics, insight into the minds of the long lost masterminds behind some of the worlds greatest architecture and the mathematics emphasized in their extraordinary works, can be ascertained.…

    • 2095 Words
    • 9 Pages
    Powerful Essays
  • Good Essays

    The Sumerians started very simply and began trying things like using pictures to be representations for different items and animals. This was what the earliest form of a writing system was. Using that style hey could tell exactly what things were. Over some time, this system developed into using those same pictographs, but now having certain symbols for certain words. This was established by 3100 B.C. However, as more complex ideas than keeping track of trades arose, a demand for a more complex system of writing had also risen. As time progressed, s system of writing known as cuneiform or "wedged-shaped" began to develop. This system of writing developed by about 2900 B.C, used symbols to represent ideas, sounds, syllables and objects. The symbols were pressed into tablets of wet clay which later, were dried in the sun preserving records and ideas and their history. This very long lasting style of writing became popular among the Babylonians and the Assyrians began using it for their own…

    • 692 Words
    • 3 Pages
    Good Essays
  • Satisfactory Essays

    Babylonian is mostly famous for the studies of Astronomy and Mathematics. The Babylonian created a numeral system based on the present day number 60. This helped derive the 360 degree system. As well as 60 seconds in a minute and 60 minutes in an…

    • 310 Words
    • 2 Pages
    Satisfactory Essays
  • Satisfactory Essays

    Cuneiform- Cuneiform is Sumerian Writing that is a style of pictogram. It was written using a reed stylus and made wedge shaped impressions on clay tablets. They were then baked or dried in the sun to make them hard and virtually indestructible. Cuneiform evolved over time into something more advanced as civilizations kept rising and falling in Mesopotamia. Some examples of things Cuneiform was used for are tallies of cattle or other live stock by herders, lists of taxes and wages payments, contracts, and court decision dealings. Since writing was so important to Sumerian life, schools for scribes started to appear which taught primarily men from wealthy families how to master the language of Cuneiform. Cuneiform was deciphered by Sir Henry…

    • 540 Words
    • 3 Pages
    Satisfactory Essays
  • Better Essays

    The Ancient Egyptians obviously had a very good understanding of mathematics. They looked for patterns and found ways to add, subtract, multiply and divide. They came up with many formulas and tricks they helped their societies become more advanced. They have contributed much to our modern math world. So, the lesson to learn from this? Don’t underestimate math. Math is in…

    • 859 Words
    • 4 Pages
    Better Essays
  • Better Essays

    Ancient Greece was known for its philosophers and mathematicians. The Greeks were very interested in science as a way of organizing the world and making order out of chaos, and having power over some very powerful things like oceans and weather. By the 400's BC, Pythagoras was interested in finding the patterns and rules in mathematics and music, and invented the idea of a mathematical proof (Ancient Greek Science). Pythagoras is where we get our Pythagorean Theorem in geometry today. The ancient Greek culture was fixed on proving that everything was true, they did this by using a lot of geometry; this is why geometry became so big in their society. The math of ancient Greece can be broken up into three periods: the early period, the classical period, and the helenistic period. The early period, was when people were first beginning to be interested in mathematics, this is when Pythagoras first came up with is the theorem. During the classical period a man by the name of Euclid, wrote a book titled The Elements, this book was a textbook to help people understand the basics of geometry, and it included geometric methods for the solution of quadratics (Euclid). During the helenistic period ancient algebra began to resurface. But none of these mathematical discoveries would have been possible without…

    • 929 Words
    • 4 Pages
    Better Essays
  • Good Essays

    Mayan History Essay

    • 451 Words
    • 2 Pages

    One of the other complex skills of the Maya was their understanding and use of mathematics. The Maya created the concept of a zero and used a symbol to represent it in their mathematics. A full number system such as the modern day roman numerals were used by the Maya. The Maya also used their complex math skills in the creation of their calendar; the Maya calendar was actually made of…

    • 451 Words
    • 2 Pages
    Good Essays
  • Good Essays

    Writing was mainly used by kings, priests, merchants, and artisans as a mean to keep records. The oldest Mesopotamian text was written by the Sumerians around 3000 B.C.E. Their system of writing was based around cuneiform, which was made up of wedge-shaped symbols. They would use a reed stylus to make wedge-shaped impressions on clay tablets, which were then baked or dried in the sun. These tablets were nearly indestructible, resulting in hundred of thousands being found by scientist who use them as a great source of information. The Mesopotamians would use cuneiform text in schools to teach the people to write. This would help them keep records and maintain knowledge. Using math, they formed a number system based on 60, this was achieved by using combinations of six and ten. The Egyptians also had their own writing system known as hieroglyphics, made up of signs that depicts objects and had a sacred…

    • 1054 Words
    • 5 Pages
    Good Essays
  • Good Essays

    And, they were early adopters of bronze. The Babylonians were meticulous astronomers, keeping a series of records spanning 800 years. They were able to plot the motion of planets and predict eclipses. However, Mesopotamian people invented many technologies including metalworking copper working, glassmaking, lamp making, textile weaving, and flood control. They were also one of the first Bronze age people in the world. Early on they used copper, bronze and gold, and later they used iron. Palaces were decorated with hundreds of kilograms of these very expensive metals. Also, copper, bronze, and iron were used for armor as well as for different weapons such as swords, daggers, spears, and maces. And, The Mesopotamians used a number system with the base 60 like we use base 10. They divided time up by 60s including a 60 second minute and a 60 minute hour, which we still use today. They also divided up the circle into 360 degrees. The Mesopotamians had formulas for figuring out the circumference and area for different geometric shapes like rectangles, circles, and triangles. Some evidence suggests that they even knew the Pythagorean Theorem long before Pythagoras wrote it down. They may have even discovered the number for pi…

    • 1527 Words
    • 7 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