Complex Variables and Applications (8E) - Brown/Churchill. Ex 1, 6 Sec34: Deri-sin z, tan z, sec z.. скачать в хорошем качестве

Complex Variables and Applications (8E) - Brown/Churchill. Ex 1, 6 Sec34: Deri-sin z, tan z, sec z..

Complex Variables and Applications (8th Ed) - James Ward Brown and Ruel V. Churchill Ch 3: Elementary Functions 34: Trigonometric Functions Remark: Note that different textbooks adopt different notations. In this textbook, arg z is the argument of the complex number z and Arg z is the principal value of the argument of z defined in (-pi, pi]. And log z is the multiple-valued logarithmic function and Log z is the principal branch of log z defined in (-pi, pi]. The relations arg z = Arg z + 2n pi, log z = Log z + i(2n pi), where n ranges over all the integers. Ex 1: Give details in the derivation of expressions dsin(z)/dz = cos(z), dcos(z) = -sin(z) for the the derivatives of sin z and cos z. Ex 6: Establish differentiation formulas dtan(z)/dz = sec^2(z), dcot(z)/dz = -csc^2(z), dsec(z)/dz = sec(z) tan(z), dcsc(z)/dz = -csc(z) cot(z).