In the Little Mathematics Library series we now come to *Solving*

* Equations In Integers* by A*. O. Gelfond* also sometimes written as

Gelfand.

The book is devoted to one of the most interesting branches of

number theory, the solution of equations in integers. The solution in integers of algebraic equations in more than one unknown with integral coefficients is a most difficult problem in the theory of numbers. The theoretical importance of equations with integral coefficients is quite great as they are closely connected with many problems of number theory. Moreover, these equations are sometimes encountered in physics and so they are also important in practice. The elements of the theory of equations with integral coefficients as presented in this book are suitable for broadening the mathematical outlook of high-school students and students of pedagogical institutes. Some of the main results in the theory of the solution of equations in integers have been given and proofs of the theorems involved are supplied when they are sufficiently simple.

The book was translated the Russian by O. B. Sheinin and was

first published by Mir in 1981.

PDF | Cover | Bookmarks | OCR | 3.2 MB | 60 pp | 600 dpi

You can get the book here.

Password, if required: *mirtitles*

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You can get the Magnet/Torrent links here.

Contents

Preface 7

Introduction 7

1. Equations in one unknown. 8

2. Linear equations in two unknowns 9

3. Equations of the second degree in three unknowns (examples) 18

4. Equations of the type x^2 – Ay^2 = 1. Finding an solutions of this equation 23

5. Equations of the second degree in two unknowns: the general case 33

6. Equations in two unknowns of degree higher than the second 44

7. Algebraic equations in three unknowns of degree higher than

the second. Some exponential equations 49

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Dear Damitr,

Alexander Osipovich Gelfond (Russian: Алекса́ндр О́сипович Ге́льфонд) is not the same person as I.M. Gelfand.

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Thanks Sanjay for the info. Have updated the post. It must in the mass postings that I did over last two days, that I have overlooked this important fact. Thanks again.

D

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thanx for this

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The link is not working

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Pingback: Little Mathematics Library | Yassin Balcha

Fixed link:https://archive.org/details/SolvingEquationsInIntegerslittleMathematicsLibrary

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