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This textbook covers the main topics in number theory as taught in universities throughout the world. Number theory deals mainly with properties of integers and rational numbers; it is not an organized theory in the usual sense but a vast collection of individual topics and results, with some coherent sub-theories and a long list of unsolved problems. This book excludes topics relying heavily on complex analysis and advanced algebraic number theory.
The increased use of computers in number theory is reflected in many sections (with much greater emphasis in this edition). Some results of a more advanced nature are also given, including the Gelfond-Schneider theorem, the prime number theorem, and the Mordell-Weil theorem. The latest work on Fermat's last theorem is also briefly discussed. Each chapter ends with a collection of problems; hints or sketch solutions are given at the end of the book, together with various useful tables.
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Previews available in: English
Subjects
Number theoryEdition | Availability |
---|---|
1
A course in number theory
1995, Clarendon Press, Oxford University Press
in English
- 2nd ed.
0198523769 9780198523765
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2
A course in number theory
1988, Clarendon Press, Oxford University Press
in English
0198532628 9780198532620
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Book Details
Edition Notes
Bibliography: p. [346]-349.
Includes indexes.
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- Created April 1, 2008
- 12 revisions
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