An Experimental Introduction to Number Theory - Grand Format

Edition en anglais

Benjamin Hutz

Note moyenne 
Benjamin Hutz - An Experimental Introduction to Number Theory.
This book presents material suitable for an undergraduate course in elementary number theory from a computational perspective. It seeks to not only introduce... Lire la suite
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Résumé

This book 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. Each topic is motivated by a question to be answered, followed by some experimental data, and, finally, the statement and proof of a theorem.
There are numerous opportunities throughout the chapters and exercises for the students to engage in (guided) open-ended exploration. At the end of a course using this book, the students will understand how mathematics is developed from asking questions to gathering data to formulating and proving theorems. The mathematical prerequisites for this book are few. Early chapters contain topics such as integer divisibility, modular arithmetic, and applications to cryptography, while later chapters contain more specialized topics, such as Diophantine approximation, number theory of dynamical systems, and number theory with polynomials.
Students of all levels will be drawn in by the patterns and relationships of number theory uncovered through data driven exploration.

Caractéristiques

  • Date de parution
    01/01/2018
  • Editeur
  • Collection
    Pure and Applied Texts
  • ISBN
    978-1-4704-3097-9
  • EAN
    9781470430979
  • Format
    Grand Format
  • Présentation
    Relié
  • Nb. de pages
    328 pages
  • Poids
    0.725 Kg
  • Dimensions
    18,4 cm × 26,2 cm × 2,2 cm

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