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    Beautiful mathematics / Martin Erickson.

    • Title:Beautiful mathematics / Martin Erickson.
    •    
    • Author/Creator:Erickson, Martin J., 1963-
    • Published/Created:Washington, DC : Mathematical Association of America, ©2011.
    • Holdings

       
    • Library of Congress Subjects:Mathematics--Miscellanea.
    • Description:xiii, 177 pages : illustrations ; 27 cm.
    • Series:MAA spectrum.
    • Notes:Includes bibliographical references and index.
    • ISBN:9780883855768
      0883855763
    • Contents:Machine generated contents note: 1. Imaginative Words
      1.1. Lemniscate
      1.2. Centillion
      1.3. Golden Ratio
      1.4. Borromean Rings
      1.5. Sieve of Eratosthenes
      1.6. Transversal of Primes
      1.7. Waterfall of Primes
      1.8. Squares, Triangular Numbers, and Cubes
      1.9. Determinant
      1.10. Complex Plane
      2. Intriguing Images
      2.1. Square Pyramidal Square Number
      2.2. Binary Trees
      2.3. Bulging Hyperspheres
      2.4. Projective Plane
      2.5. Two-Colored Graph
      2.6. Hypercube
      2.7. Full Adder
      2.8. Sierpinski's Triangle
      2.9. Squaring Map
      2.10. Riemann Sphere
      3. Captivating Formulas
      3.1. Arithmetical Wonders
      3.2. Heron's Formula and Heronian Triangles
      3.3. Sine, Cosine, and Exponential Function Expansions
      3.4. Tangent and Secant Function Expansions
      3.5. Series for Pi
      3.6. Product for Pi
      3.7. Fibonacci Numbers and Pi
      3.8. Volume of a Ball
      3.9. Euler's Integral Formula
      3.10. Euler's Polyhedral Formula
      3.11. Smallest Taxicab Number
      3.12. Infinity and Infinity Squared
      3.13. Complex Functions
      3.14. Zeta Function and Bernoulli Numbers
      3.15. Riemann Zeta Function
      3.16. Jacobi Identity
      3.17. Entropy
      3.18. Rook Paths
      4. Delightful Theorems
      4.1. Square inside Every Triangle
      4.2. Morley's Theorem
      4.3. Euler Line
      4.4. Monge's Theorem
      4.5. Power Means
      4.6. Regular Heptagon
      4.7. Isometries of the Plane
      4.8. Symmetries of Regular Convex Polyhedra
      4.9. Polynomial Symmetries
      4.10. Kings and Serfs
      4.11. Erdos-Szekeres Theorem
      4.12. Minkowski's Theorem
      4.13. Lagrange's Theorem
      4.14. Van derWaerden's Theorem
      4.15. Latin Squares and Projective Planes
      4.16. Lemniscate Revisited
      5. Pleasing Proofs
      5.1. Pythagorean Theorem
      5.2. Erdos-Mordell Inequality
      5.3. Triangles with Given Area and Perimeter
      5.4. Property of the Directrix of a Parabola
      5.5. Classic Integral
      5.6. Integer Partitions
      5.7. Integer Triangles
      5.8. Triangle Destruction
      5.9. Squares in Arithmetic Progression
      5.10. Random Hemispheres
      5.11. Odd Binomial Coefficients
      5.12. Frobenius' Postage Stamp Problem
      5.13. Perrin's Sequence
      5.14. On the Number of Partial Orders
      5.15. Perfect Error-Correcting Codes
      5.16. Binomial Coefficient Magic
      5.17. Group of Operations
      6. Elegant Solutions
      6.1. Tetrahedron and Four Spheres
      6.2. Alphabet Cubes
      6.3. Triangle in an Ellipse
      6.4. About the Roots of a Cubic
      6.5. Distance on Planet X
      6.6. Tilted Circle
      6.7. Millionth Fibonacci Number
      6.8. End of a Conjecture
      6.9. Zero-Sum Game
      6.10. Expected Maximum
      6.11. Walks on a Graph
      6.12. Rotations of a Grid
      6.13. Stamp Rolls
      6.14. Making a Million
      6.15. Coloring a Projective Plane
      7. Creative Problems
      7.1. Two-Dimensional Gobbling Algorithm
      7.2. Nonattacking Queens Game
      7.3. Lucas Numbers Mod m
      7.4. Exact Colorings of Graphs
      7.5. Queen Paths
      7.6. Transversal Achievement Game
      7.7. Binary Matrix Game
      A. Harmonious Foundations
      A.1. Sets
      A.2. Relations
      A.3. Functions
      A.4. Groups
      A.5. Fields
      A.6. Vector Spaces
      B. Eye-Opening Explorations
      B.1. Problems
      B.2. Solutions.
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