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Mathematical morsels

Author: Ross Honsberger
Publisher: [Washington] : Mathematical Association of America, ©1978.
Series: Dolciani mathematical expositions, no. 3.
Edition/Format:   Print book : EnglishView all editions and formats
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Additional Physical Format: Online version:
Honsberger, Ross, 1929-
Mathematical morsels.
[Washington] : Mathematical Association of America, ©1978
(OCoLC)622876236
Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Ross Honsberger
ISBN: 0883853035 9780883853030 0883853000 9780883853009
OCLC Number: 4598980
Description: xii, 249 pages : illustrations ; 23 cm.
Contents: The chess tournament --
The ordered partitions of n --
Regions in a circle --
The ferry boats --
The bulging semicircle --
The chauffeur problem --
The screens in the corner --
Coloring the plane --
An obvious maximum --
cos 17x=f(cos x) --
A square in a lattice --
An opaque square --
x's and o's --
A surprising property of right-angled triangles --
The digits of 4444⁴⁴⁴⁴ --
[Sigma](n)+[Phi](n)=n·d(n) --
On k-clouds --
A minimal sum --
The last three digits of 7⁹⁹⁹⁹ --
Rolling a die --
Piercing a cube --
Double sequences --
Point-splitting circles --
On the lengths of the sides of a triangle --
No calculus please --
a[superscript b] and b[superscript a] --
A mathematical joke --
Maps on a sphere --
Convex regions in the plane --
Simultaneous Diophantine equations --
A reflected tangent --
The elegantly destroyed checkerboard --
The snowballs --
Writing the numbers from one to a billion --
Abutting, nonoverlapping unit squares --
A Diophantine equation --
The Fibonacci sequence --
An Erdös inequality --
Sharing lattice points --
Perfect numbers --
The sides of a quadrilateral --
Primes in arithmetic progression --
On Cevians --
The cows and the sheep --
A sequence of squares --
The inscribed decagon --
Red and blue dots --
Swale's method --
On [pi constant](n) --
A constant chord --
The number of inner diagonals --
Loading the dice --
A curious sequence --
Long strings of consecutive natural numbers --
A minimal inscribed quadrilateral --
Triangular numbers --
On a regular n-gon --
The Fermat numbers --
An inequality of reciprocals --
The perfect 4th power --
Packing squares --
Red and green balls --
Composite terms in arithmetic progression --
Abutting equilateral triangles --
The tests --
An application of Ptolemy's theorem --
Another Diophantine equation --
An unusual property of complex numbers --
A chain of circles --
Repeated digits at the end of a square --
An angle bisector --
A system of inequalities --
An unexpected property of a regular 26-gon --
More on perfect squares --
An unusual polynomial --
Cyclic centroids --
An easy remainder --
A curious property of 3 --
A square within a square --
Always a square --
Grouping the natural numbers --
Triangles with sides in arithmetic progression --
Fractions by permutation --
On binomial coefficients --
The Fermat number F--₃ --
A cyclic quadrilateral --
Special triples of natural numbers --
The sums of the primes --
Another curious sequence --
The ellipse and the lattice --
Archimedes triangles.
Series Title: Dolciani mathematical expositions, no. 3.
Responsibility: by Ross Honsberger.

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