I. Polygonal, Pyramidal, and Figurate Numbers |
II. Linear Diophantine Equations and Congruences |
III. Partitions |
IV. Rational Right Triangles |
V. Triangles, Quadrilaterals, and Tetrahedra |
VI. Sum of Two Squares |
VII. Sum of Three Squares |
VIII. Sum of Four Squares |
IX. Sum of n Squares |
X. Number of Solutions of Quadratic Congruences in n Unknowns |
XI. Liouville’s Series of Eighteen Articles |
XII. Pell Equation |
XIII. Further Single Equations of the Second Degree |
XIV. Squares in Arithmetical or Geometrical Progression |
XV. Two or More Linear Functions Made Squares |
XVI. Two Quadratic Functions of One or Two Unknowns Made Squares |
XVII. Systems of Two Equations of Degree Two |
XVIII. Three or More Quadratic Functions of One or Two Unknowns Made Squares |
XIX. Systems of Three or More Equations of Degree Two in Three or More Unknowns |
XX. Quadratic Form Made an nth Power |
XI. Equations of Degree Three |
XXII. Equations of Degree Four |
XXIII. Equations of Degree n |
XXIV. Sets of Integers with Equal Sums of Like Powers |
XXV. Waring’s Problem and Related Results |
XXVI. Fermat’s Last Theorem |
Indexes |