Franklin

Beautiful Mathematics.

Author/Creator:
Erickson, Martin.
Publication:
Washington : American Mathematical Society, 2011.
Format/Description:
Book
1 online resource (192 pages)
Series:
Spectrum
Spectrum
Status/Location:
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Subjects:
Mathematics.
Form/Genre:
Electronic books.
Contents:
cover
copyright page
title page
Contents
Preface
Imaginative Words
Lemniscate
Centillion
Golden Ratio
Borromean Rings
Sieve of Eratosthenes
Transversal of Primes
Waterfall of Primes
Squares, Triangular Numbers, and Cubes
Determinant
Complex Plane
Intriguing Images
Square Pyramidal Square Number
Binary Trees
Bulging Hyperspheres
Projective Plane
Two-Colored Graph
Hypercube
Full Adder
Sierpi0ntoto 0"13nski's Triangle
Squaring Map
Riemann Sphere
Captivating Formulas
Arithmetical Wonders
Heron's Formula and Heronian Triangles
Sine, Cosine, and Exponential Function Expansions
Tangent and Secant Function Expansions
Series for Pi
Product for Pi
Fibonacci Numbers and Pi
Volume of a Ball
Euler's Integral Formula
Euler's Polyhedral Formula
The Smallest Taxicab Number
Infinity and Infinity Squared
Complex Functions
The Zeta Function and Bernoulli Numbers
The Riemann Zeta Function
The Jacobi Identity
Entropy
Rook Paths
Delightful Theorems
A Square inside Every Triangle
Morley's Theorem
The Euler Line
Monge's Theorem
Power Means
Regular Heptagon
Isometries of the Plane
Symmetries of Regular Convex Polyhedra
Polynomial Symmetries
Kings and Serfs
The Erd0ototo 0"7Dos
Szekeres Theorem
Minkowski's Theorem
Lagrange's Theorem
Van der Waerden's Theorem
Latin Squares and Projective Planes
The Lemniscate Revisited
Pleasing Proofs
The Pythagorean Theorem
The Erd0ototo 0"7Dos
Mordell Inequality
Triangles with Given Area and Perimeter
A Property of the Directrix of a Parabola
A Classic Integral
Integer Partitions
Integer Triangles
Triangle Destruction
Squares in Arithmetic Progression
Random Hemispheres
Odd Binomial Coefficients.
Frobenius' Postage Stamp Problem
Perrin's Sequence
On the Number of Partial Orders
Perfect Error-Correcting Codes
Binomial Coefficient Magic
A Group of Operations
Elegant Solutions
A Tetrahedron and Four Spheres
Alphabet Cubes
A Triangle in an Ellipse
About the Roots of a Cubic
Distance on Planet X
A Tilted Circle
The Millionth Fibonacci Number
The End of a Conjecture
A Zero-Sum Game
An Expected Maximum
Walks on a Graph
Rotations of a Grid
Stamp Rolls
Making a Million
Coloring a Projective Plane
Creative Problems
Two-Dimensional Gobbling Algorithm
Nonattacking Queens Game
Lucas Numbers Mod m
Exact Colorings of Graphs
Queen Paths
Transversal Achievement Game
Binary Matrix Game
Harmonious Foundations
Sets
Relations
Functions
Groups
Fields
Vector Spaces
Eye-Opening Explorations
Problems
Solutions
Bibliography
Index
About the Author.
Notes:
Description based on publisher supplied metadata and other sources.
Local notes:
Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2021. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
Other format:
Print version: Erickson, Martin Beautiful Mathematics
ISBN:
9781614445098
9780883855768
OCLC:
939263347