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Introduction to Number Theory EG

Introduction to Number Theory  2026 Exposure Geometry Edition Table of Contents Part I — Arithmetic Distinctions, Frames, and Skeletons Chapter 1 — Number Theory as Exposure Geometry 1.1 Introduction: Integers as Distinction-Bearing Carriers 1.2 Survey: Local Arithmetic, Global Arithmetic, and Reconstruction 1.3 Arithmetic EG Frames, Skeletons, Residues, and Successor Seeds 1.4 Equality, Congruence, Association, Isomorphism, and Equivalence 1.5 Arithmetic Relations as Typed Transports 1.6 Existence, Construction, Uniqueness, Classification, and Liftback 1.7 Local Validity Versus Global Reconstruction 1.8 Dyadic Data, Higher-Arity Arithmetic, and Cell Residues 1.9 Counterexamples as Minimal Arithmetic Counterkernels 1.10 Formal Theorems, Algorithms, Computations, and Claim Levels 1.11 Noncompensatory Proof Obligations 1.12 The Arithmetic Execution Sequence: Type to Certificate Chapter 2 — Divisibility, Euclidean Transport, and Prime Skeletons 2.1 Divisibility as a Typed Dyadic Relat...