Book:George Pólya/Problems and Theorems in Analysis II

George Pólya and Gábor Szegő: Problems and Theorems in Analysis II

Published $\text {1925}$, Springer

ISBN 3-540-63686-2 (translated by C.E. Billigheimer)

Subject Matter

• Analysis

Contents

Notation and Abbreviations

Part Four. Functions of One Complex Variable. Special Part

Chapter 1. Maximum Term and Central Index, Maximum Modulus and Number of Zeros

Chapter 2. Schlicht Mappings

Chapter 3. Miscellaneous Problems

Part Five. The Location of Zeros

Chapter 1. Rolle's Theorem and Descartes' Rule of Signs

Chapter 2. The Geometry of the Complex Plane and the Zeros of Polynomials

Chapter 3. Miscellaneous Problems

Part Six. Polynomials and Trigonometric 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 of Power Series

Chapter 4. Some Problems on Algebraic Integers

Chapter 5. Miscellaneous Problems

Part Nine. Geometric Problems

Appendix