ANALYSIS
CONCEPT OF ANALYSIS: is the branch of mathematics that deals with continuous change, and with certain general types of processes that have emerged from the study of continuous change, such as limits, differentiation, and integration. Its historical origins are in attempts to calculate such spatial quantities as the length of a curved line and the area enclosed by a curve. The problems that gave rise to analysis can be stated purely as questions of mathematical technique, but they have a far wider importance because they possess a broad variety of interpretations in the physical world. Obviously the area inside a curve is of direct interest in land measurement: how many acres does an irregularly shaped plot of land contain? The same technique also determines the mass of a uniform sheet of material bounded by some chosen curve or the quantity of paint needed to cover an irregularly shaped surface. Less obviously, these techniques can be used to find the total distance traveled by a vehicle moving with varying speeds, the depth at which a ship will float when placed in the sea, or the total fuel consumption of a rocket.
BRANCHES
REAL A.
COMPLEX A.
DIFFERENTIAL EQUATIONS
FUNCTIONAL A.
FOURIER A.
THEORY OF PROBABILITY
VECTOR A.
TENSOR A.
NUMERICAL A.
NON-STANDARD A.
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