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- Math Lecture Notes,Study Guide

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Mathematics is the abstract study of subjects compassing quantity, space, structure, change, and others. it has no usually accepted definition.

Mathematicians seek out formulate and patterns new conjectures. Mathematicians resolve the falsity or truth of conjectures by mathematical evidence. The research required to answer mathematical questions may take years or even centuries of continued inquiry. Since the original work of David Hilbert, Giuseppe Peano, and others on axiomatic classification in the late 19th century, it has happen to customary to view mathematical search as creating truth by rigorous deduction from appropriately selection  definitions and axioms. When those mathematical structures are good models of real process, then mathematical reasoning may give predictions or insight about nature.

Through the need of logical and abstraction reasoning, mathematics created from calculation, counting calculation, and the systematic learning of the motions and shapes of physical parts. Practical mathematics may be a human activity for as far back as defined records exists. Rigorous arguments first shown in Greek mathematics, most remarkably in Euclid's Elements.

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