Book:George Pólya/Problems and Theorems in Analysis II

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 Prolems


 * Appendix