Individual #Fourier_analysis__harmonic_analysis  analysis of a periodic function into a sum of simple sinusoidal components
  >part of:  #analysis.infinitesimal_calculus__analysi  a branch of mathematics involving calculus and the theory of limits; sequences and series and integration and differentiation
     >part of:  #infinitesimal_calculus__calculus__the_calculus  the branch of mathematics that is concerned with limits and with the differentiation and integration of functions
        >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 of:  #mathematics__math__maths__math  a science (or group of related sciences) dealing with the logic of quantity and shape and arrangement

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