Essays on numbers and figures / V.V. Prasolov ; [translated from the Russian by A.B. Sossinski].

Format:

Book

Author/Creator:

Prasolov, V. V. (Viktor Vasilʹevich), author.

Series:

Mathematical World, 2380-5692 ; v. 16

Standardized Title:

Rasskazy o chislakh, mnogochlenakh, i figurakh. English

Language:

English

Russian

Subjects (All):

Mathematics.

Physical Description:

1 online resource (ix, 75 pages) : illustrations

Place of Publication:

Providence, R.I. : American Mathematical Society c2000.

System Details:

Mode of access : World Wide Web

Contents:

Chapter 1. Conjugate numbers Chapter 2. Rational parametrizations of the circle Chapter 3. Sums of squares of polynomials Chapter 4. Representing numbers as the sum of two squares Chapter 5. Can any knot be unraveled? Chapter 6. Construction of a regular 17-gon Chapter 7. The Markov equation Chapter 8. Integer-valued polynomials Chapter 9. Chebyshev polynomials Chapter 10. Vectors in geometry Chapter 11. The averaging method and geometric inequalities Chapter 12. Intersection points of the diagonals of regular polygons Chapter 13. The chromatic polynomial of a graph Chapter 14. Brocard points Chapter 15. Diophantine equations for polynomials Chapter 16. The Pascal lines Chapter 17. One butterfly and two butterflies theorems Chapter 18. The Van der Waerden theorem on arithmetical progressions Chapter 19. Isogonal conjugate points Chapter 20. Cubic curves related to the triangle

Notes:

Includes bibliographical references.

Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

Description based on print version record.

Other Format:

Print version: Prasolov, V. V. Essays on numbers and figures /

ISBN:

9781470424794 (online)

Access Restriction:

Restricted for use by site license.