Description

Book Synopsis
Presents material suitable for an undergraduate course in elementary number theory from a computational perspective. It seeks to not only introduce students to the standard topics in elementary number theory, such as prime factorization and modular arithmetic, but also to develop their ability to formulate and test precise conjectures from experimental data.

Table of Contents
  • Introduction
  • Integers
  • Modular arithmetic
  • Quadratic reciprocity and primtive roots
  • Secrets
  • Arithmetic functions
  • Algebraic numbers
  • Rational and irrational numbers
  • Diophantine equations
  • Elliptic curves
  • Dynamical systems
  • Polynomials
  • Bibliography
  • List of algorithms
  • List of notations
  • Index

    An Experimental Introduction to Number Theory

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      A Hardback by Benjamin Hutz

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        Book details

        Publisher American Mathematical Society
        Published 3/30/2018 12:00:00 AM
        ISBN-13 9781470430979
        978-1470430979
        ISBN-10 1470430975

        Description

        Book Synopsis
        Presents material suitable for an undergraduate course in elementary number theory from a computational perspective. It seeks to not only introduce students to the standard topics in elementary number theory, such as prime factorization and modular arithmetic, but also to develop their ability to formulate and test precise conjectures from experimental data.

        Table of Contents
        • Introduction
        • Integers
        • Modular arithmetic
        • Quadratic reciprocity and primtive roots
        • Secrets
        • Arithmetic functions
        • Algebraic numbers
        • Rational and irrational numbers
        • Diophantine equations
        • Elliptic curves
        • Dynamical systems
        • Polynomials
        • Bibliography
        • List of algorithms
        • List of notations
        • Index

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