Anthony Vazzana (Truman State University, Kirksville, Missouri, USA, David Garth (Truman State University, Kirksville, Missouri, USA)

Introduction to Number Theory

• Gebundenes Buch

Produktbeschreibung

This classroom-tested, student-friendly text covers a diverse array of number theory topics, from the ancient Euclidean algorithm for finding the greatest common divisor of two integers to recent developments such as cryptography, the theory of elliptic curves, and the negative solution of Hilbert's tenth problem. Ideal for a one- or two-semester undergraduate-level course, the second edition features a more flexible structure, adds several new sections, expands exercise sets to encompass a wider variety of problems, and provides calculations, tutorials, and code via an author-maintained website.

---

Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.

Produktdetails

• Textbooks in Mathematics
• Verlag: Taylor & Francis Inc
• 2 ed
• Seitenzahl: 426
• Erscheinungstermin: 1. Dezember 2015
• Englisch
• Abmessung: 236mm x 152mm x 28mm
• Gewicht: 762g
• ISBN-13: 9781498717496
• ISBN-10: 1498717497
• Artikelnr.: 43160467

Autorenporträt

Martin Erickson (1963-2013) received his Ph.D in mathematics in 1987 from the University of Michigan, Ann Arbor, USA, studying with Thomas Frederick Storer. He joined the faculty in the Mathematics Department of Truman State University, Kirksville, Missouri, USA, when he was twenty-four years old, and remained there for the rest of his life. Professor Erickson authored and coauthored several mathematics books, including the first edition of Introduction to Number Theory (CRC Press, 2007), Pearls of Discrete Mathematics (CRC Press, 2010), and A Student's Guide to the Study, Practice, and Tools of Modern Mathematics (CRC Press, 2010). Anthony Vazzana received his Ph.D in mathematics in 1998 from the University of Michigan, Ann Arbor, USA. He joined the faculty in the Mathematics Department of Truman State University, Kirksville, Missouri, USA, in 1998. In 2000, he was awarded the Governor's Award for Excellence in Teaching and was selected as the Educator of the Year. In 2002, he was named the Missouri Professor of the Year by the Carnegie Foundation for the Advancement of Teaching and the Council for Advancement and Support of Education. David Garth received his Ph.D in mathematics in 2000 from Kansas State University, Manhattan, USA. He joined the faculty in the Mathematics Department of Truman State University, Kirksville, Missouri, USA, in 2000. In 2005, he was awarded the Golden Apple Award from Truman State University's Theta Kappa chapter of the Order of Omega. His areas of research include analytic and algebraic number theory, especially Pisot numbers and their generalizations, and Diophantine approximation.

Inhaltsangabe

Introduction. Divisibility. Greatest Common Divisor. Primes. Congruences.
Special Congruences. Primitive Roots. Cryptography. Quadratic Residues.
Applications of Quadratic Residues. Sums of Squares. Further Topics in
Diophantine Equations. Continued Fractions. Continued Fraction Expansions
of Quadratic Irrationals. Arithmetic Functions. Large Primes. Analytic
Number Theory. Elliptic Curves.