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    Lagrange's Four-Square Theorem
    Lesson Plans, Proofs, Articles and Background Information







    Resources

      Definition

      Lagrange's four-square theorem: Every non-negative integer can be expressed as the sum of four squares.

      For example:

      9 = 12 + 22 + 22 + 02
      36 = 52 + 32 + 12 + 12

      Background Information

    • Lagrange's four-square theorem - Wikipedia [View Resource]
    • Lagrange's Four-Square Theorem - MathWorld [View Resource]
    • Adrien-Marie Legendre Life and Work [View Resource]

      K-12 Lesson Plans, Proofs and Science Fair Projects

    • Lagrange's four-square theorem proof [View Resource]
    • An applet decomposing numbers as sums of four squares [View Resource]
    • A New Method to Prove Euler's Equation by Using the Lagrange Mean Value Theorem[View Resource]
    • Lagrange Four Square Theorem (Bachet Conjecture) Calculation ind Instructions [View Resource]
    • Lagrange's Four Square Theorem Proof [View Resource]

      Undergraduate Lesson Plans, Proofs, Studies and Articles

    • Representations of binary forms by quinary quadratic forms [View Resource]
    • Lagrange's four-square theorem proof using convex geometry [View Resource]
    • A Proof of Lagrange's Four Square Theorem Using Quaternion Algebras [View Resource]
    • Cosets and Cardinality Lesson [View Resource]
    • Patterns in Prime Numbers: The Quadratic Reciprocity Law [View Resource]

      Theses and Dissertations

    • Convex functions and optimization techiniques [View Resource]
    • Automatic Formulation of Lagrangian DAEs [View Resource]



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    Last updated: June 2013
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