A. G. Kurosh (1908–1971)

Indeholder "Introduction", "1. Complex Numbers", "2. Evolution. Quadratic Equations", "3. Cubic Equations", "4. Solution of Equations in Terms of Radicals and the Existence of Roots of Equations", "5. The Number of Real Roots", "6. Approximate Solution of Equations", "7. Fields", "8. Conclusion", "Bibliography".
Indeholder ikke noget særligt udover et hint på side 26 om at N. I. Lobachevsky udviklede en metode til approximering af ikke bare reelle med også komplekse rødder.

Ikke specielt værd at gemme på… (mais)

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.… (mais)