After a long gap we start again with the Little Mathematics Library series. The first one that we see is *Algebraic Equations of Arbitrary Degrees* by *A. G. Kurosh*.

This booklet is a revision of the author’s lecture to high

school students taking part in the Mathematics Olympiad at

Moscow State University. It gives a review of the results and

methods of the general theory of algebraic equations with due

regard for the level of knowledge of its readers. No proofs are

included in the text since this would have required copying almost half of a university textbook on higher algebra. Despite such an approach, this booklet does not make for light reading. Even a popular mathematics book calls for the reader’s concentration, thorough consideration of all the definitions and statements; check of calculations in all the examples, application of the methods described to his own examples, etc.

The book was translated from the Russian by *Vitaly Kisin* and was first published by Mir in 1977.

PDF | OCR | Cover | Bookmarked | 2.1 MB | 44 pp | 600 dpi

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Contents

Preface 7

Introduction 9

1. Complex Numbers 10

2. Evolution. Quadratic Equations 16

3. Cubic Equations 19

4. Solution of Equations in Terms of Radicals and the

of Roots of Equations 22

5. The Number of Real Roots 24

6. Approximate Solution of Equations 27

7. Fields 30

8. Conclusion 35

Bibliography 36

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Damitr ,

I need some help .all the folks here is talking about the 4shared file sharing site and some people are blaming you for uploading in ifile .I need to shut them up becoz i think you are the only person in the world to upload these precious books .i will soon upload the files and the help i need is should i upload the files as rar files with password or not ,since some files i uploaded where deleted i think that is bcoz of the files where not password protected please reply me fast

Thanks for the response. Please keep the files password protected, do give the password in the comments.

D

Please CONTINUE TO USE ifile site instead of 4shared. ifile allows downloading with out requiring to be registered. However 4shared requires one to register for the same functionality.

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