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Title Details:
Repetition in Number Theory
Other Titles: Concise theory, methology, exercises
Authors: Poulakis, Dimitrios
Alvanos, Paraskevas
Subject: MATHEMATICS AND COMPUTER SCIENCE > MATHEMATICS > NUMBER THEORY > ELEMENTARY NUMBER THEORY
MATHEMATICS AND COMPUTER SCIENCE > MATHEMATICS > NUMBER THEORY > DIOPHANTINE EQUATIONS
MATHEMATICS AND COMPUTER SCIENCE > MATHEMATICS > NUMBER THEORY > FORMS AND LINEAR ALGEBRAIC GROUPS
MATHEMATICS AND COMPUTER SCIENCE > MATHEMATICS > NUMBER THEORY > DIOPHANTINE APPROXIMATION, TRANSCENDENTAL NUMBER THEORY
MATHEMATICS AND COMPUTER SCIENCE > MATHEMATICS > NUMBER THEORY > COMPUTATIONAL NUMBER THEORY
Keywords:
Divisibility
Congruences
Arithmetic Functions
Quadratic Residues
Quadratic Forms
Diophantine Equations
Continuous Fractions
Polynomial Congruences
Primitive Roots
Linear Congruences
Description:
Abstract:
This book is an aid to undergraduate courses in Number Theory. The sections of each chapter include a concise theory, methodology and a variety of solved exercises. The penultimate section of each chapter includes exercises whose solution requires complex thinking and the use of the knowledge of the previous sections. Finally, the last section of each chapter is devoted to the Number Theory package of the Maple computer program.
Linguistic Editors: Kalliaras, Dimitrios
Type: Undergraduate textbook
Creation Date: 2021
Item Details:
ISBN 978-618-85370-3-3
License: Attribution - NonCommercial - ShareAlike 4.0 International (CC BY-NC-SA 4.0)
DOI http://dx.doi.org/10.57713/kallipos-9
Handle http://hdl.handle.net/11419/8008
Bibliographic Reference: Poulakis, D., & Alvanos, P. (2021). Repetition in Number Theory [Undergraduate textbook]. Kallipos, Open Academic Editions. https://dx.doi.org/10.57713/kallipos-9
Language: Greek
Consists of:
1. Systems of Numbers
2. Divisibility
3. Arithmetic Functions
4. Congruences
5. Linear Congruences and Systems
6. Polynomial Congruences – Primitive Roots
7. Quadratic Residues
8. Representation of Integers by Quadratic Forms
9. Diophantine Equations
10. Continuous Fractions
Interactivity Level: Μέτριο
Publication Origin: Kallipos, Open Academic Editions