A Pathway Into Number Theory
eBook - PDF

A Pathway Into Number Theory

  1. English
  2. PDF
  3. Available on iOS & Android
eBook - PDF

A Pathway Into Number Theory

Book details
Table of contents
Citations

About This Book

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.

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Yes, you can access A Pathway Into Number Theory by R. P. Burn in PDF and/or ePUB format, as well as other popular books in Mathematics & Number Theory. We have over one million books available in our catalogue for you to explore.

Information

Publisher
Cambridge University Press
Year
1996
ISBN
9781316044292
Edition
2
Topic
Mathematics
Subtopic
Number Theory
Index
Mathematics

Table of contents

  1. Cover
  2. A pathway into number theory
  3. Title
  4. Copyright
  5. CONTENTS
  6. PREFACE TO THE SECOND EDITION
  7. INTRODUCTION
  8. 1 The fundamental theorem of arithmetic
  9. 2 Modular addition and Euler's ø function
  10. 3 Modular multiplication
  11. 4 Quadratic residues
  12. 5 The equation xn + yn = zn, for n = 2, 3, 4
  13. 6 Sums of squares
  14. 7 Partitions
  15. 8 Quadratic forms
  16. 9 Geometry of numbers
  17. 10 Continued fractions
  18. 11 Approximation of irrationals by rationals
  19. BIBLIOGRAPHY
  20. INDEX