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Introduction to Number Theory by William W. Adams, Larry Joel Goldstein is a nonfiction available to read on EtoBox.
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Title Contents Preface 1. Introduction 1.1 What Is Number Theory? 1.2 Prerequisites 1.3 How to Use this Book 2. Divisibility and Primes 2.1 Introduction 2.2 Divisibility 2.3 The Greatest Common Divisor 2.4 Unique Factorization Appendix A: Euler's Proof of the lnfinitude of Primes 3. Congruences 3.1 Introduction 3.2 Basic Properties of Congruences 3.3 Some Special Congruences 3.4 Solving Polynomial Congruences, I 3.5 Solving Polynomial Congruences, II 3.6 Primitive Roots 3.7 Congruences -- Some Historical Notes 4. The Law of Quadratic Reciprocity 4.1 Introduction 4.2 Basic Properties of Quadratic Residues 4.3 The Gauss Lemma 4.4 The Law of Quadratic Reciprocity 4.5 Applications to Diophantine Equations 5. Arithmetic Functions 5.1 Introduction 5.2 Multiplicative Arithmetic Functions 5.3 The Möbius Inversion Formula 5.4 Perfect and Amicable Numbers 6. A Few Diophantine Equafions 6.1 Introduction 6.2 The Equation x^2 + y^2 = z^2 6.3 The Equation x^4 + y^4 = z^2 6.4 The Equation x^2 + y^2 = n 6.5 The Equation x^2 + y^2 + z^2 + w^2 = n 6.6 Pell's Equation: x^2 - d y^2 = 1 Appendix B: Diophantine Approximations Introduction to Chapters 7-11 7. The Gaussian Integers 7.1 Introduction 7.2 Th
Who reads Introduction to Number Theory?
It is typically read by self-directed learners exploring a subject in depth.
Common subject areas: history, science, philosophy, social sciences.
- Author
- William W. Adams, Larry Joel Goldstein
- Publisher
- Prentice-Hall, Inc.
- Published
- 1976
- Language
- EN
- Category
- nonfiction
- Subjects
- Mathematics, Stem
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