Individual #algebra  the mathematics of generalized arithmetical operations
  >part of:  pure_mathematics  the branches of mathematics that study and develop the principles of mathematics for their own sake rather than for their immediate usefulness
  >part:  quadratics  a branch of algebra dealing with quadratic equations
  >part:  linear_algebra  the part of algebra that deals with the theory of linear equations and linear transformation
  >part:  vector_algebra  the part of algebra that deals with the theory of vectors and vector spaces
     >part:  vector_decomposition__decomposition  the analysis of a vector field
  >part:  matrix_algebra  the part of algebra that deals with the theory of matrices

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