CALCULUS
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Mathematics is the academic discipline of deriving true statements from axioms. Its most common application are the common rules of computation. Note that the rules of computation are an application of mathematics.
Applications of ordinary differential equations are commonly used in the engineering field. The equation is used to find the relationship between the various parts of a bridge, as seen in the Euler-Bernoulli Beam Theory.
In the field of engineering matrices,generally has various uses.specifically in the field of ELECTRONICS AND COMMUNICATION ENGINEERING it is used isolving the problems that arises in circuites.it is also used in solving probles used in making communication materials like cell phones,computers etc.., for problems regarding manupulation of mother boards in systems and other communication articles.
the main branches of mathematics are algebra, number theory, geometry and arithmetic.
Abstract algebra is a field of mathematics that studies groups, fields and rings, which all belong to algebraic structures. Algebraic structure and abstract algebra are actually close to each other due to their similarity in topics.