NameInstructorClassDateHistory of AlgebraThe subject called Algebra that is taught in high school and the first function of college (and sometimes in elementary schools ) is a generalization of grudge school arithmetic . In arithmetic , students learn to pull operations (such as addition and multiplication ) with rational forms halt . In algebra , they learn more round the properties of come and near the rules that govern operations with numbers (The different sets of numbers ar explained in the box on the by-line page (Adams , 2005To a mathematician , algebra is the study of properties of abstract mathematical dodges , and there are many another(prenominal) a(prenominal) algebras . This article deals with what is properly called the algebra of complex numbersAlgebra is an important part of maths , and an understandi ng of it is basic to the study of all advanced mathematics . With algebra we lot solve problems that would be difficult or visionary to solve with arithmetic alone . Algebra has many practical applications in science engineering , business , and industry (Edwards , 2002 . It is used , for phase , to calculate life insurance rates and monthly payments on installment-plan purchases . When a service station attendant adds anti-freeze to a governmental machine s radiator , he determines the needed amount from a control panel computed with the promote of algebraAlgebra , as a tool for solving mathematical problems , had been through to an advanced stage of cultivation as proto(prenominal) as 2000 B .C . by the Babylonians . The development of a constitution of algebraic symbols , however was not begun until the 15th century A .D . The development of this system - which amounts to a mathematical shorthand - has make achievable huge advances in mathematics (Boyer , 2000W ith a system of algebraic symbols , mathemat! icians could think in terms of types of problems , rather than soulfulness problems . interchange letters for specific numerals , they could make generalizations about the properties of numbers . major(ip) contributions were made by , among others the English mathematicians George Boole and John Venn . About 1850 , Boole wrote An investigate of the Laws of Thought , in which he pioneered the application of algebra to sets and logic . Venn devised diagrams to extend operations with sets and relationships between sets (Edwards 2002Because of the advances that have been made in mathematics since the 15th century , especially in the last light speed years , today s high school student so-and-so cope with mathematical concepts that in ancient times were inactive only by a handful of mathematicians . Consider the succeeding(a) problem from the eight century A .DA hound quest after chasing a run , which has a start of 150 feet , jumps 9 feet any time the rabbit jumps 7 feet . In how many jumps does the dog catch the rabbitSince the rabbit and the dog make the comparable number of leaps , the problem can be analyzed as followsThe surmount the dog covers (9 feet times the number of leaps ) is equal to the place the rabbit covers (7 feet times the number of leaps plus the rabbit s 150-foot startIn advanced(a) algebra symbols...If you indigence to get a full essay, order it on our website: OrderCustomPaper.com
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