apter 1. Introduction 1.1 Exercises 1.2 Open Problems 1.3 Notes Part I. Fundamental Algorithms Chapter 2. Efficient Polynomial Arithmetic 2.1 Multiplication of Polynomials I 2.2* Multiplication of Polynomials II 2.3* Multiplication of Several Polynomials 2.4 Multiplication and Inversion of Power Series 2.5* Composition of Power Series 2.6 Exercises 2.7 Open Problems 2.8 Notes Chapter 3. Effic