Number Theory: An Elementary Introduction Through Diophantine Problems

Daniel Duverney (Autor)

Buch | Softcover

348 Seiten

2010
World Scientific Publishing Co Pte Ltd (Verlag)
978-981-4307-46-8 (ISBN)

Artikel merken

Presents an elementary introduction to number theory and its different aspects: approximation of real numbers, irrationality and transcendence problems, continued fractions, diophantine equations, quadratic forms, arithmetical functions and algebraic number theory. This textbook may be used by undergraduates and graduate students.

This textbook presents an elementary introduction to number theory and its different aspects: approximation of real numbers, irrationality and transcendence problems, continued fractions, diophantine equations, quadratic forms, arithmetical functions and algebraic number theory.These topics are covered in 12 chapters and more than 200 solved exercises.Clear, concise, and self-contained, this textbook may be used by undergraduate and graduate students, as well as highschool mathematics teachers. More generally, it will be suitable for all those who are interested in number theory, this fascinating branch of mathematics.

Irrationality and Diophantine Approximation; Representations of Real Numbers by Infinite Series and Products; Continued Fractions; Regular Continued Fractions; Quadratic Fields and Diophantine Equations; Squares and Sums of Squares; Arithmetical Functions; Pade Approximants; Algebraic Numbers and Irrationality Measures; Number Fields; Ideals; Introduction to Transcendence Methods;

Erscheint lt. Verlag	13.9.2010
Reihe/Serie	Monographs In Number Theory ; 4
Verlagsort	Singapore
Sprache	englisch
Themenwelt	Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie
ISBN-10	981-4307-46-7 / 9814307467
ISBN-13	978-981-4307-46-8 / 9789814307468
Zustand	Neuware