A Pathway Into Number Theory
Seiten
1996
|
2nd Revised edition
Cambridge University Press (Verlag)
978-0-521-57540-9 (ISBN)
Cambridge University Press (Verlag)
978-0-521-57540-9 (ISBN)
This book consists of a sequence of exercises that will lead readers from simple number work to the point where they can prove algebraically the classical results of elementary number theory for themselves. A modern secondary school course in mathematics is sufficient background for the whole book, designed to be used as an undergraduate course in number theory.
Number theory is concerned with the properties of the natural numbers: 1, 2, 3 … During the seventeenth and eighteenth centuries, number theory became established through the work of Fermat, Euler and Gauss. With the hand calculators and computers of today the results of extensive numerical work are instantly available and the road leading to their discoveries may be traversed with comparative care. Now in its second edition, this book consists of a sequence of exercises that will lead readers from quite simple number work to the point where they can prove algebraically the classical results of elementary number theory for themselves. A modern secondary school course in mathematics is sufficient background for the whole book which is designed to be used as an undergraduate course in number theory to be pursued by independent study without supporting lectures.
Number theory is concerned with the properties of the natural numbers: 1, 2, 3 … During the seventeenth and eighteenth centuries, number theory became established through the work of Fermat, Euler and Gauss. With the hand calculators and computers of today the results of extensive numerical work are instantly available and the road leading to their discoveries may be traversed with comparative care. Now in its second edition, this book consists of a sequence of exercises that will lead readers from quite simple number work to the point where they can prove algebraically the classical results of elementary number theory for themselves. A modern secondary school course in mathematics is sufficient background for the whole book which is designed to be used as an undergraduate course in number theory to be pursued by independent study without supporting lectures.
Preface to the second edition; Introduction; 1. The fundamental theorem of arithmetic; 2. Modular addition and Euler's Phi function; 3. Modular multiplication; 4. Quadratic residues; 5. The equation xn+yn=zn, for n=2, 3, 4; 6. Sums of squares; 7. Partitions; 8. Quadratic forms; 9. Geometry of numbers; 10. Continued fractions; 11. Approximation of irrationals by rationals; bibliography; Index.
| Erscheint lt. Verlag | 28.11.1996 |
|---|---|
| Zusatzinfo | Worked examples or Exercises |
| Verlagsort | Cambridge |
| Sprache | englisch |
| Maße | 152 x 229 mm |
| Gewicht | 400 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie |
| ISBN-10 | 0-521-57540-0 / 0521575400 |
| ISBN-13 | 978-0-521-57540-9 / 9780521575409 |
| Zustand | Neuware |
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