A First Course in Number Theory

A First Course in Number Theory

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This introductory text covers the core topics of number theory at an accessible level. Its selective coverage allows lecturers to augment the text with special topics as they wish. P-adic valuation is introduced early and there is a special appendix on abstract algebra, to make the close parallel between number theory and algebra clear. Problem sets are included in every section; model proofs and hints are provided in the back of the book for many of the problems, extending their effectiveness as teaching tools. Notes at the end of every chapter provide references and explain how chapter topics have led to other developments in mathematics. This book should be of interest to degree and diploma students on introductory courses in number theory; as a supplement to courses in abstract algebra and discrete mathematics.show more

Product details

  • Hardback | 139 pages
  • 166 x 232 x 14mm | 439.99g
  • Cengage Learning, Inc
  • Wadsworth Publishing Co Inc
  • Belmont, CA, United States
  • English
  • 0534085148
  • 9780534085148

Table of contents

Preface. Divisibility without primes. Divisibility with primes. Numerical congruences. Polynomial congruences in one variable. Carl Friedrich Gauss' Law of quadratic reciprocity. Appendices. Problems. Solutions/hints to selected problems. Bibliography. Books. Journal articles. Index.show more