Four. Functions of One Complex Variable. Special Part -- 1. Maximum Term and Central Index, Maximum Modulus and Number of Zeros -- 2. Schlicht Mappings -- 3. Miscellaneous Problems -- Five. The Location of Zeros -- 1. Rolleโs Theorem and Descartesโ Rule of Signs -- 2. The Geometry of the Complex Plane and the Zeros of Polynomials -- 3. Miscellaneous Problems -- Six. Polynomials and Trigonometric Polynomials -- ยง 1 (1โ7) Tchebychev Polynomials -- ยง 2 (8โ15) General Problems on Trigonometric Polynomials -- ยง 3 (16โ28) Some Special Trigonometric Polynomials -- ยง 4 (29โ38) Some Problems on Fourier Series -- ยง 5 (39โ43) Real Non-negative Trigonometric Polynomials -- ยง 6 (44โ49) Real Non-negative Polynomials -- ยง 7 (50โ61) Maximum-Minimum Problems on Trigonometric Polynomials -- ยง 8 (62โ66) Maximum-Minimum Problems on Polynomials -- ยง 9 (67โ76) The Lagrange Interpolation Formula -- ยง 10 (77โ83) The Theorems of S. Bernstein and A. Markov -- ยง 11 (84โ102) Legendre Polynomials and Related Topics -- ยง 12 (103โ113) Further Maximum-Minimum Problems on Polynomials -- Seven. Determinants and Quadratic Forms -- ยง 1 (1โ16) Evaluation of Determinants. Solution of Linear Equations -- ยง 2 (17โ34) Power Series Expansion of Rational Functions -- ยง 3 (35โ43.2) Generation of Positive Quadratic Forms -- ยง 4 (44โ54.4) Miscellaneous Problems -- ยง 5 (55โ72) Determinants of Systems of Functions -- Eight. Number Theory -- 1. Arithmetical Functions -- 2. Polynomials with Integral Coefficients and Integral-Valued Functions -- 3. Arithmetical Aspects of Power Series -- 4. Some Problems on Algebraic Integers -- 5. Miscellaneous Problems -- Nine. Geometric Problems -- ยง 1 (1โ25) Some Geometric Problems -- Errata -- ยง 1 Additional Problems to Part One -- New Problems in English Edition -- Author Index -- Topics

1. Mathematics
2. Mathematical analysis
3. Analysis (Mathematics)
4. Mathematics
5. Analysis