Mathematics and Statistics

Mathematics is the study of the measurement, relationships, and properties of quantities and sets, using numbers and symbols. Arithmetic, algebra, geometry, and calculus are branches of mathematics. This book include some of major subdivisions of mathematics algebra, calculus, mathematical modeling.

Algebra is a branch of mathematics that deals with properties of operations and the structures these operations are defined on. Elementary Algebra that follows the study of arithmetic is mostly preoccupied with operations on sets of whole and rational numbers and solving first and second order equations.

Calculus is branch of mathematics that deals with limits and the differentiation and integration of functions of one or more variables. See more at calculus of variations, differential calculus, integral calculus.

Statistics is about the mathematical modeling of observable phenomena, using stochastic models, and about analyzing data: estimating parameters of the model and testing hypotheses. In these notes, we study various estimation and testing procedures.

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