A Course in Number Theory

H. E. Rose (Autor)

Buch | Softcover

364 Seiten

1988
Clarendon Press (Verlag)
978-0-19-853261-3 (ISBN)

Infos

This textbook deals with the central topics in number theory as taught in universities throughout the world. Number theory is not an organized theory in the usual sense but a vast collection of individual topics and results, with some coherent subtheories and a long list of unsolved problems. Excluding topics which rely heavily on more advanced complex analysis and algebraic number theory this book considers eight central areas: divisibility and multiplicative functions; congruences and quadratic residues; an introduction to algebraic numbers and sums of squares; continued fractions, diophantine approximation and transducence; quadratic forms; partitions; the prime numbers; diophantine equations and elliptic curves. Some more advanced results are also given including the Gelfond-Schneider theorem, the prime number theorem and the Mordell-Weil theorem. Each chapter ends with a collection of problems; hints or sketch solutions are given at the back of the book together with various tables.

Produkt-Details

• Erscheint lt. Verlag: 12.5.1988
• Zusatzinfo: 7 line drawings, tables, bibliography, index
• Verlagsort: Oxford
• Sprache: englisch
• Maße: 156 x 234 mm
• Gewicht: 556 g
• Themenwelt: Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie
• ISBN-10: 0-19-853261-X / 019853261X
• ISBN-13: 978-0-19-853261-3 / 9780198532613
• Zustand: Neuware