Elementary Number Theory

Pio J Arias (Autor)

Buch | Softcover

259 Seiten

2024
Toronto Academic Press (Verlag)
978-1-77469-791-7 (ISBN)

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Covering topics such as divisibility, primes and composites, modular arithmetic, Diophantine equations, and number-theoretic functions, this book explores the basic concepts and properties of numbers and is designed to introduce readers to the fundamental ideas of number theory and develop their problem-solving skills.

This book explores the basic concepts and properties of numbers. It covers topics such as divisibility, primes and composites, modular arithmetic, Diophantine equations, and number-theoretic functions. The book is designed to introduce readers to the fundamental ideas of number theory and develop their problem-solving skills. This book is an excellent resource for anyone interested in the fascinating world of number theory.

Pio J. Arias is a prominent physicist with a Ph.D. from the Universidad SimÃ³n BolÃvar, Venezuela. He is currently an Associate Professor of Physics and Astronomy at the University of Utah, where he researches condensed matter physics, quantum mechanics, and solid-state physics. Dr. Arias has published numerous articles in top-tier scientific journals, and grants from the National Science Foundation and the Department of Energy have supported his research. Dr. Arias began his career as a postdoctoral fellow at the University of Illinois at Urbana-Champaign, where he conducted groundbreaking research on novel materials' electronic and optical properties. He then joined the faculty at the University of Colorado Boulder, where he served as an assistant professor of physics and applied mathematics before joining the faculty at the University of Utah in 2011.

Chapter 1 Introduction to Number Theory
Chapter 2 Congruences
Chapter 3 Diophantine Equations in Number Theory
Chapter 4 Multiplicative Functions
Chapter 5 Quadratic Residues
Chapter 6 Number Theory and Prime Numbers
Chapter 7 Continued Fractions
Chapter 8 Applications of Elementary Number Theory

Erscheinungsdatum	03.01.2024
Sprache	englisch
Maße	203 x 254 mm
Gewicht	272 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie
ISBN-10	1-77469-791-2 / 1774697912
ISBN-13	978-1-77469-791-7 / 9781774697917
Zustand	Neuware