
- 527 pages
- English
- PDF
- Available on iOS & Android
eBook - PDF
About this book
Since the publication of the first edition of this work, considerable progress has been made in many of the questions examined. This edition has been updated and enlarged, and the bibliography has been revised.The variety of topics covered here includes divisibility, diophantine equations, prime numbers (especially Mersenne and Fermat primes), the basic arithmetic functions, congruences, the quadratic reciprocity law, expansion of real numbers into decimal fractions, decomposition of integers into sums of powers, some other problems of the additive theory of numbers and the theory of Gaussian integers.
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Table of contents
- Front Cover
- Elementary Theory of Numbers
- Copyright Page
- Contents
- Author's Preface
- Editor's Preface
- Chapter I Divisibility and Indeterminate Equations of First Degree
- Chapter II Diophantlne Analysis of Second and Higher Degrees
- Chapter III Prime Numbers
- Chapter IV Number of Divisors and Their Sum
- Chapter V Congruences
- Chapter VI Euler'S Totient Function and The Theorem of Euler
- Chapter VII Representation of Numbers Bydecimals in a Given Scale
- Chapter VIII Continued Fractions
- Chapter IX Legendre'S Symbol and Jacobi's Symbol
- Chapter X Mersenne Numbers and Fermat Numbers
- Chapter XI Representations of Natural Numbers as Sums of Non negative kth Powers
- Chapter XII Some Problems of the Additive Theory of Numbers
- Chapter XIII Complex Integers
- Bibliography
- Author index
- Subject index
- Addendum and Corrigendum Inserted in July, 1987
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Yes, you can access Elementary Theory of Numbers by W. Sierpinski in PDF and/or ePUB format, as well as other popular books in Mathematics & Number Theory. We have over 1.5 million books available in our catalogue for you to explore.