Three Pearls of Number Theory – Khinchin

In this post, we will see the book Three Pearls of Number Theory by A. Y. Khinchin.

About the book

This little book is devoted to three theorems in arithmetic, which, in spite of their apparent simplicity, have been the objects of the efforts of many important mathematical scholars. The proofs which are presented here make use of completely elementary means, (although they are not very simple).
The book can be understood by beginning college students, and is intended for wide circles of lovers of mathematics.

The book was translated from Russian byE Bagemihl, H. Komm, and W. Seidel and was first published in 1952.

Credits to the original uploader.

You can get the book here.

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Contents

A letter to the front (in lieu of a Preface) 9

Chapter I
Van der Waerden’s Theorem on Arithmetic Progressions 11

Chapter II
The Landau-Schnirelmann Hypothesis and Mann’s Theorem 18

Chapter III
An Elementary Solution of Waring’s Problem 37

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1 Response to Three Pearls of Number Theory – Khinchin

  1. Pingback: Three Pearls of Number Theory – Khinchin — Mir Books | Chet Aero Marine

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