Unlike geometry, algebra was not developed in Europe. Algebra was actually discovered (or developed) in the Arab countries along side geometry. Many mathematicians worked and developed the system of math to be known as the algebra of today. European countries did not obtain information on algebra until relatively later years of the 12th century. After algebra was discovered in Europe, mathematicians put the information to use in very remarkable ways. Also, algebraic and geometric ways of thinking were considered to be two separate parts of math and were not unified until the mid 17th century.
The simplest forms of equations in algebra were actually discovered 2,200 years before Mohamed was born. Ahmes wrote the Rhind Papyrus that described the Egyptian mathematic system of division and multiplication. Pythagoras, Euclid, Archimedes, Erasasth, and other great mathematicians followed Ahmes (“Letters”). Although not very important to the development of algebra, Archimedes (212BC – 281BC), a Greek mathematician, worked on calculus equations and used geometric proofs to prove the theories of mathematics (“Archimedes”).
Although little is known about him, Diophantus (200AD – 284AD), an ancient Greek mathematician, studied equations with variables, starting the equations of algebra that we know today. Diophantus is often known as the “father of algebra” ("Diophantus"). However, many mathematicians still argue that algebra was actually started in the Arab countries by Al Khwarizmi, also known as the “father of algebra” or the “second father of algebra”. Al Khwarizmi did most of his work in the 9th century. Khwarizmi was a scientist, mathematician, astrologer, and author. The term algorithm used in algebra came from his name. Khwarizmi solved linear and quadratic equations, which paved the way for algebra problems that are now taught in middle school and high school. The word algebra even came from his book titled Al-jabr. In his book, he expanded on the knowledge of Greek and Indian sources of math. His book was the major source of algebra being integrated into European disciplines (“Al-Khwarizmi”). Khwarizmi’s most important development, however, was the Arabic number system, which is the number system that we use today. In the Arabic number system, the symbols 1 – 9 are used in combination to ...
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...bsp;Using Analytic Geometry, geometry has been able to be taught in school-books in all grades. Some of the problems that are solved using Rene’s work are vector space, definition of the plane, distance problems, dot products, cross products, and intersection problems. The foundation for Rene’s Analytic Geometry came from his book entitled Discourse on the Method of Rightly Conducting the Reason in the Search for Truth in the Sciences (“Analytic Geomoetry”).
The history of algebra is very complex and went through many centuries of development to the algebra that we know today. Algebra is still being developed and will never quit being developed and added on to. Algebra is a relatively new form of math in the European countries and the Americas. Algebra helped mathematicians and scientists to develop many tools and theorems that people over the world use on a daily basis. Although algebra and geometry were considered separate subsets of math, the two subjects are now unified. Who knows what inventions and discoveries will be made with algebra in the future if mathematicians continue to study the discipline of mathematics.
Math is everywhere when most people first think of math or the word “Algebra,” they don’t get too excited. Many people say “Math sucks” or , “When are we ever going to use it in our lives.” The fact is math will be used in our lives quite frequently. For example, if we go watch a softball game all it is, is one giant math problem. Softball math can be used in many
Geometry, a cornerstone in modern civilization, also had its beginnings in Ancient Greece. Euclid, a mathematician, formed many geometric proofs and theories [Document 5]. He also came to one of the most significant discoveries of math, Pi. This number showed the ratio between the diameter and circumference of a circle.
Many people seem to think that math is a stagnant, nite eld consisting of algebra and geometry (the
Euclid Of Alexandria may be the best-known mathematician of the world, he is best known for his work on mathematics The Elements. The fact that his work has survived so long, 2000 years in fact, is a tribute to his mathematical genius, however very little of him is known. Three theories abound as to the true nature of this historical figure. Not all historians agree that Euclid was in fact a historical figure, some argue that the school in Alexandria took up the name Euclid to publish their works. But the more accepted theories are that Euclid was in fact a real historical figure who may have been the leader of a team of mathematicians.
The history of mathematics has its roots on the African continent. The oldest mathematical object was found in Swaziland Africa. The oldest example of arithmetic was found in Zaire. The 4000 year old, Moscow papyrus, contains geometry, from the Middle Kingdom of Egypt, Egypt was the cradle of mathematics. The great Greek mathematicians, including Pythagoras, Thales, and Exodus all acquired much of their mathematics from Egypt, including the notion of zero. This paper will discuss a brief history of mathematics in Africa. Starting with the Lebombo bone and the Ishango Bone, I will then present Egyptian mathematics and end with a discourse on Muslim mathematics in African. “Most histories of mathematics devote only a few pages to Africa and Ancient Egypt... Generally they ignore the history of mathematics in Africa … and give the impression that this history either did not exist or, at least …is not knowable.”
"The Foundations of Geometry: From Thales to Euclid." Science and Its Times. Ed. Neil Schlager and Josh Lauer. Vol. 1. Detroit: Gale, 2001. Gale Power Search. Web. 20 Dec. 2013.
The mathematicians of Pythagoras's school (500 BC to 300 BC) were interested in numbers for their mystical and numerological properties. They understood the idea of primality and were interested in perfect and amicable numbers.
Euclid, who lived from about 330 B.C.E. to 260 B.C.E., is often referred to as the Father of Geometry. Very little is known about his life or exact place of birth, other than the fact that he taught mathematics at the Alexandria library in Alexandria, Egypt during the reign of Ptolemy I. He also wrote many books based on mathematical knowledge, such as Elements, which is regarded as one of the greatest mathematical/geometrical encyclopedias of all time, only being outsold by the Bible.
Al-Khwarizmi was originally named Muhammad ibn Musa al-Khwarizmi. His name signifies he was son of moses, father of Jafar. Al-Khwarizmi is known as the Father of Algebra, but Al-Khwarizmi is a more appropriate title. He was born in Baghdad in c. 780 but later died in c. 850. Al-Khwarizmi was a scholar at the House of Wisdom in Baghdad. He was involved in Greek translation of scientific manuscripts and studied algebra, geometry, and astronomy. Going to school and then working at the House of Wisdom, Al-Khwarizmi became very interested in scientific manuscripts, algebra, geometry, and astronomy. In 830 B.C. Al-Khwarizmi wrote a book called, “The Compendious Book on Calculation By Completion and Balancing" in English. This book was said
However, it isn't really the math we are inventing, more so the theories and mathematical techniques that we invented. But these techniques would all cease to exist without the rudimentary knowledge of mathematics. If a first grader is shown a derivative, and explained in depth on the concept of derivatives, it will be impossible for the student to ever be successful in that type of mathematics due to the lack of basic mathematical concepts. Calculus consists of a couple steps of calculus, followed by a plethora of steps of algebra. This is where the line between discovered and invented begins to make itself a bit more transparent.
Rene Descartes may have been most famous However, mathematics appealed to him the most for its innate truthfulness and application to other branches of knowledge. Later in his life, he developed both mathematical and philosophical concepts that are still used widely today. Overall, Rene Descartes should be considered one of the most influential mathematicians of all time for his work in analytic geometry, which set the foundation for algebraic, differential, discrete, and computational geometry, as well as his application of mathematics into philosophy.
Burton, D. (2011). The History of Mathematics: An Introduction. (Seventh Ed.) New York, NY. McGraw-Hill Companies, Inc.
The foundations of mathematics are strongly rooted in the history and way of life of the Egyptian people, dating back to the fourth millennium B.C. in Egypt. Egyptian mathematics was elementary. It was generally arrived at by trial and error as a way to obtain desired results. As such, early Egyptian mathematics were primarily arithmetic, with an emphasis on measurement, surveying, and calculation in geometry. The development of arithmetic and geometry grew out of the need to develop land and agriculture and engage in business and trade. Over time, historians have discovered records of such transactions in the form of Egyptian carvings known as hieroglyphs.
The basic of mathematics was inherited by the Greeks and independent by the Greeks beg the major Greek progress in mathematics was from 300 BC to 200 AD. After this time progress continued in Islamic countries Unlike the Babylonians, the Egyptians did not develop fully their understanding of mathematics. Instead, they concerned themselves with practical applications of mathematics. Mathematics flourished in particular in Iran, Syria and India from 450B.C. Major progress in mathematics in Europe began again at the beginning of the 16th Century.
Euclid, also known as Euclid of Alexandria, lived from 323-283 BC. He was a famous Greek mathematician, often referred to as the ‘Father of Geometry”. The dates of his existence were so long ago that the date and place of Euclid’s birth and the date and circumstances of his death are unknown, and only is roughly estimated in proximity to figures mentioned in references around the world. Alexandria was a broad teacher that taught lessons across the world. He taught at Alexandria in Egypt. Euclid’s most well-known work is his treatise on geometry: The Elements. His Elements is one of the most influential works in the history of mathematics, serving as the source textbook for teaching mathematics on different grade levels. His geometry work was used especially from the time of publication until the late 19th and early 20th century Euclid reasoned the principles of what is now called Euclidean geometry, which came from a small set of axioms on the Elements. Euclid was also famous for writing books using the topic on perspective, conic sections, spherical geometry, number theory, and rigor.