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The paper describes a method for calculating values of Riemann's Zetafunction within the critical strip 0< {\sigma} <1 and on its boundary. Theapproach is based on the "Alternating Zeta function" {\eta}(s). The actualRiemann Zeta function {\zeta}(s) is easily obtained from {\eta}(s). Theobtained accuracy, within certain limits of the described method is discussed.A decent scientific calculator suffices to carry out the involved computations.

Riemann's Zeta Function. Numerical Evaluation via its Alternating Relative \eta(s)