---------------------------------------------------------------------- Book Certification ---------------------------------------------------------------------- To certify books, execute the following: make ACL2r= To remove certificate files, etc., execute the following: make clean ACL2r= See Makefile file for the detail. ---------------------------------------------------------------------- Book Organization ---------------------------------------------------------------------- The orthogonality relations of trigonometric functions (5.1), (5.2), and (5.3) described in the paper are formalized in sines-orthog.lisp, cosines-orthog.lisp, and sine-cosine-orthog.lisp respectively. The sum rule for integration of indexed sums is formalized in int-sum.lisp. The Fourier coefficient formulas is formalized in fourier-coefficients.lisp. The uniqueness of Fourier sums is formalized in fourier-sums.lisp. The sum rule for integration of infinite series is formalized in int-infinite-sum-1.lisp and int-infinite-sum-2.lisp, corresponding to two conditions described in Section 8 of the paper respectively.