第2卷目次:主要包括函数论,零点,多项式,行列式,数论,几何等内容。11111111111111111111111111111111111111111111111111111111111111111111111111111111111
Part Four. Functions of One Complex Variable. Special Part
Chapter 1. Maximum Term and Central Index, Maximum Modulus and Number of Zeros
Problem
Numbers
1 (1-40) Analogy between u(r) and M(r), v(r) and N (r)
2 (41-47) Further Results on u(r) and v(r)
3 (48-66) Connection between u(r), v(r), M(r) and N(r)
4 (67-76) u(r) and M(r) under Special Regularity Assumptions
Chapter 2. Sehlicht Mappings
1 (77-83) Introductory Material
2 (84-87) Uniqueness Theorems
3 (88-96) Existence of the Mapping Function
4 (97-120) The Inner and the Outer Radius. The Normed Mapping Function
5 (121-135) Relations between the Mappings of Different Domains
6 (136-163) The Koebe Distortion Theorem and Related Topics
Chapter 3. Miscellaneous Problems
1 (164-174.2) Various Propositions
2 (175-179) A Method of E. Landau
3 (180-187) Rectilinear Approach to an Essential Singularity
4 (188-194) Asymptotic Values of Entire Functions
5(195-205)Fulther Applications of the Phragmen-Lindelof Method
6 (206-212) Supplementary Problems
Part Five The Location of Zeros
Chapter 1.Rolle'sTheorem and Descartes Rule of Signs
Chapter 2 The Geometry of the Complex Plane Zeros of Polynomlans
Chapter 3Miscellaneous Problems
Part Six.Polynomials and Trigonmetric Polynomials
Part Seven.Determinants and Quadratic Forms
Part Eight.Number Theory
Chapter 1 Arithmetical Functions
Chapter 2 Polynomials with INtegral Coefficients and Integral-Valued Functions
Chapter 3 Arithmetical Aspects Power Series
Chapter 4 Some Problems on Algebraic Integers
Chapter 5 Miscellangous Problems
Part Nine.Geometric Problems
Appendix