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"Elements Of Number Theory" and the language of the book is English.


“Elements Of Number Theory” Metadata:

  • Title: Elements Of Number Theory
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  • Language: English

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  • Internet Archive ID: ➤  vinogradov-elements-of-number-theory

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"Elements Of Number Theory" Description:

The Internet Archive:

<div>From the author </div><div><br /></div><div>In my book I present a systematic exposition of the funda­ mentals of number theory within the scope of a university course. A large collection of problems introduces the reader to some of the new ideas in number theory.</div><div><br /></div><div>This fifth edition of my book differs considerably from the fourth. A series of changes, allowing a simpler exposition, have been made in all the chapters of the book. The most important changes are the merging of the old chapters IV and V into one chapter IV (reducing the number of chapters to six) and the new, simpler proof of the existence of primitive roots.</div><div><br /></div><div>The problems at the end of each chapter have been essentially revised. The order of the problems is now in complete cor­ respondence with the order of the presentation of the theoretical material. Some new problems have been added; but the number of numbered problems has been substantially reduced. This was accomplished by the unification, under the letters a, b, c, . . ., of previously separate problems which were re­ lated by the method of solution or by content. All the solutions of the problems have been reviewed; in many cases these solu­ tions have been simplified or replaced by better ones. Particu­ larly essential changes have been made in the solutions of the problems relating to the distribution of n-th power residues and non-residues, and primitive roots, as well as in the estimations of the corresponding trigonometric sums.</div>

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