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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, a conserved quantity of a dynamical system is a function H of the dependent variables that is a constant (in other words, conserved). A conserved quantity can be a useful tool for qualitative analysis. Not all systems have conserved quantities, however the existence has nothing to do with linearity (a simplifying trait in a system) which means that finding and examining conserved quantities can be useful in understanding nonlinear systems. Conserved quantities are not unique, since one can always add a constant to a conserved quantity.