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Number theory by Borevich Z.I., Shafarevich I.R. is a mathematics available to read on EtoBox.

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Number Theory Copyright Page Contents Translator's Preface Foreword Chapter 1. Congruences 1. Congruences with Prime Modulus 2. Trigonometric Sums 3. p-Adic Numbers 4. An Axiomatic Characterization of the Field of p-adic Numbers 5. Congruences and p-adic Integers 6. Quadratic Forms with p-adic Coefficients 7. Rational Quadratic Forms Chapter 2. Representation of Numbers by Decomposable Forms 1. Decomposable Forms 2. Full Modules and Their Rings of Coefficients 3. Geometric Methods 4. The Groups of Units 5. The Solution of the Problem of the Representation of Rational Numbers by Full Decomposable Forms 6. Classes of Modules 7. Representation of Numbers by Binary Quadratic Forms Chapter 3. The Theory of Divisibility 1. Some Special Cases of Fermats Theorem 2. Decomposition into Factors 3. Divisors 4. Valuations 5. Theories of Divisors for Finite Extensions 6. Dedekind Rings 7. Divisors in Algebraic Number Fields 8. Quadratic Fields Chapter 4. Local Methods 1. Fields Complete with Respect to a Valuation 2. Finite Extensions of Fields with Valuations 3. Factorization of Polynomials in a Field Complete with Respect to a Valuation 4. Metrics on Algebraic Number Fields 5. Analytic Functio

Who reads Number theory?

Author

Borevich Z.I., Shafarevich I.R.

Publisher

AP

Published

1986

Language

EN

Category

mathematics

Subjects

Mathematics, Stem

Rating

4.6 / 5 (317 ratings)

Updated

2026-03-14