Mathematical omnibus : thirty lectures on classic mathematics Dmitry Fuchs, Serge Tabachnikov

Format:

Book

Author/Creator:

Fuks, D. B.

Contributor:

Tabachnikov, Sergei, 1956-

Series:

Miscellaneous Books, v. 46

Language:

English

Subjects (All):

Mathematics.

Physical Description:

1 online resource

Place of Publication:

Providence, R.I. American Mathematical Society [2007]

System Details:

Mode of access : World Wide Web

Contents:

Lecture 1. Can a number be approximately rational? Lecture 2. Arithmetical properties of binomial coefficients Lecture 3. On collecting like terms, on Euler, Gauss, and MacDonald, and on missed opportunities Lecture 4. Equations of degree three and four Lecture 5. Equations of degree five Lecture 6. How many roots does a polynomial have? Lecture 7. Chebyshev polynomials Lecture 8. Geometry of equations Lecture 9. Cusps Lecture 10. Around four vertices Lecture 11. Segments of equal areas Lecture 12. On plane curves Lecture 13. Paper sheet geometry Lecture 14. Paper Möbius band Lecture 15. More on paper folding Lecture 16. Straight lines on curved surfaces Lecture 17. Twenty-seven lines Lecture 18. Web geometry Lecture 19. The Crofton formula Lecture 20. Curvature and polyhedra Lecture 21. Non-inscribable polyhedra Lecture 22. Can one make a tetrahedron out of a cube? Lecture 23. Impossible tilings Lecture 24. Rigidity of polyhedra Lecture 25. Flexible polyhedra Lecture 26. Alexander's horned sphere Lecture 27. Cone eversion Lecture 28. Billiards in ellipses and geodesics on ellipsoids Lecture 29. The Poncelet porism and other closure theorems Lecture 30. Gravitational attraction of ellipsoids Lecture 31. Solutions to selected exercises

Notes:

Includes bibliographical references (pages 457-459) and index

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

Description based on print version record

Other Format:

Print version: Fuks, D. B. Mathematical omnibus :

ISBN:

9781470418120

Access Restriction:

Restricted for use by site license