A course in number theory / H. E. Rose.
By: Rose, H. E.
Material type: BookPublisher: Oxford : Clarendon Press, 1994Edition: 2nd ed.Description: xv, 398 p. ; 24 cm.ISBN: 0198534795.Subject(s): Number theoryDDC classification: 512.7Item type | Current library | Call number | Copy number | Status | Date due | Barcode | Item holds |
---|---|---|---|---|---|---|---|
General Lending | MTU Bishopstown Library Lending | 512.7 (Browse shelf(Opens below)) | 1 | Available | 00018753 |
Enhanced descriptions from Syndetics:
Perfect for students approaching the subject for the first time, this book offers a superb overview of number theory. Now in its second edition, it has been thoroughly updated to feature up-to-the-minute treatments of key research, such as the most recent work on Fermat's coast theorem. Topics include divisibility and multiplicative functions, congruences and quadratic resolves, the basics of algebraic numbers and sums of squares, continued fractions, diophantine approximations and transcendence, quadratic forms, partitions, the prime numbers, diophantine equations, and elliptic curves. More advanced subjects such as the Gelfond-Schneider, prime number, and Mordell-Weil theorems are included as well. Each chapter contains numerous problems and solutions.
Bibliography: (pages 389-393) and indexes.
Divisibility -- Multiplicative functions -- Congruence theory -- Quadratic residues -- Algebraic topics -- Sums of squares and Gauss sums -- Continued fractions -- Transcendental numbers -- Quadratic forms -- Genera and the class group -- Partitions -- The prime numbers -- Two major theorems on the primes -- Diophantine equations -- Elliptic curves: basic theory -- Elliptic curves: further results and applications -- Answers and hints to problems.
Table of contents provided by Syndetics
- 1 Divisibility
- 2 Multiplicative Functions
- 3 Congruence Theory
- 4 Quadratic Residues
- 5 Algebraic Topics
- 6 Sums of Squares and Gauss Sums
- 7 Continued Fractions
- 8 Transcendental Numbers
- 9 Quadratic Forms
- 10 Genera and the Class Group
- 11 Partitions
- 12 The Prime Numbers
- 13 Two Major Theorems on the Primes
- 14 Diophantine Equations
- 15 Elliptic Curves: Basic Theory
- 16 Elliptic Curves: Further Results and Applications