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Mathematical Omnibus
monograph
Author(s):
Dmitry Fuchs
,
Serge Tabachnikov
Publication date
(Print):
October 10 2007
Publisher:
American Mathematical Society
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Reviews of mathematical modeling in cancer
Author and book information
Book
ISBN (Print):
9780821843161
ISBN (Electronic):
9781470418120
Publication date (Print):
October 10 2007
DOI:
10.1090/mbk/046
SO-VID:
9f39e63c-d1e6-429d-b6f3-94f690942e86
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Book chapters
pp. 5
Can a number be approximately rational?
pp. 27
Arithmetical properties of binomial coefficients
pp. 45
On collecting like terms, on Euler, Gauss, and MacDonald, and on missed opportunities
pp. 67
Equations of degree three and four
pp. 79
Equations of degree five
pp. 93
How many roots does a polynomial have?
pp. 101
Chebyshev polynomials
pp. 109
Geometry of equations
pp. 125
Cusps
pp. 141
Around four vertices
pp. 159
Segments of equal areas
pp. 171
On plane curves
pp. 189
Paper sheet geometry
pp. 203
Paper Möbius band
pp. 213
More on paper folding
pp. 225
Straight lines on curved surfaces
pp. 239
Twenty-seven lines
pp. 253
Web geometry
pp. 269
The Crofton formula
pp. 285
Curvature and polyhedra
pp. 301
Non-inscribable polyhedra
pp. 307
Can one make a tetrahedron out of a cube?
pp. 319
Impossible tilings
pp. 335
Rigidity of polyhedra
pp. 345
Flexible polyhedra
pp. 361
Alexander’s horned sphere
pp. 373
Cone eversion
pp. 383
Billiards in ellipses and geodesics on ellipsoids
pp. 403
The Poncelet porism and other closure theorems
pp. 415
Gravitational attraction of ellipsoids
pp. 425
Solutions to selected exercises
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