The book "Discrepancy of Signed Measures and Polynomial Approximation" offers a comprehensive analysis of the role of point distributions in approximation theory. It addresses the selection of suitable interpolation points that are crucial for the convergence of interpolating polynomials. The authors, Vladimir V. Andrievskii and Hans-Peter Blatt, illuminate various aspects, such as the zeros of orthogonal polynomials and their significance for Gauss quadrature formulas. Additionally, the relationship between the alternating points of the error curve and the best approximating polynomials is examined. Another focus is on classical complex analysis, particularly the distribution of zeros of approximants to analytic functions. The theoretical foundations are supplemented by historical references, such as the works of Jentzsch and Szegö, which investigate the distribution of zeros in relation to angular measure. This specialized book is aimed at researchers and students who wish to engage with the mathematical foundations of approximation theory.