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2. William Rowan Hamilton's Paper of 1837 on the Arithmetization of Analysis
3. Olinde Rodrigues' Paper of 1840 on Transformation Groups
4. Poincaré's works leading to the Poincaré conjecture.
5. Letters from William Burnside to Robert Fricke: automorphic functions, and the emergence of the Burnside Problem
6. The Controversy Between Colin MacLaurin and George Campbell Over Complex Roots, 1728-1729
7. Rob’d of Glories: The Posthumous Misfortunes of Thomas Harriot and His Algebra.
8. The Early Development of the Algebraic Theory of Semigroups.
9. Continued fractions and the origins of the Perron–Frobenius theorem.
10. A further analysis of Cardano’s main tool in the <italic>De Regula Aliza</italic>: on the origins of the splittings.
11. A Delicate Collaboration: Adrian Albert and Helmut Hasse and the Principal Theorem in Division Algebras in the Early 1930’s.
12. A summary of Euler’s work on the pentagonal number theorem.
13. Frobenius and the symbolical algebra of matrices.
14. Beyond Class Field Theory: Helmut Hasse’s arithmetic in the Theory of algebras in Early 1931.
15. The casus irreducibilis in Cardano's Ars Magna and De Regula Aliza.
16. Geometry and analysis in Anastácio da Cunha's calculus.
17. Numerical solving of equations in the work of José Mariano Vallejo.
18. A Framework for Defining the Generality of Diophantos' Methods in ``Arithmetica''.
19. The eclectic content and sources of Clavius's Geometria Practica.
20. The Concept of Primitivity in Group Theory and the Second Memoir of Galois.
21. The six books of Diophantus' Arithmetic increased and reduced to specious: the lost manuscript of Jacques Ozanam (1640–1718).
22. Lost in translation? Reading Newton on inverse-cube trajectories
23. The early proofs of the theorem of Campbell, Baker, Hausdorff, and Dynkin
24. A lost chapter in the pre-history of algebraic analysis: Whittaker on contact transformations
25. The Foundations of Protective Geometry in Italy from De Paolis to Pieri
26. The Discovery of Wonders: Reading Between the Lines of John Wallis's Arithmetica infinitorum
27. In defence of geometrical algebra.
28. The natures of numbers in and around Bombelli’s L’algebra.
29. The meaning of πλασμαтιкό ν in Diophantus’ Arithmetica.
30. The “Unknown Heritage”: trace of a forgotten locus of mathematical sophistication.
31. Number crunching vs. number theory: computers and FLT, from Kummer to SWAC (1850–1960), and beyond.
32. Notes made by Thomas Harriot on the treatises of François Viète.
33. On the Shoulders of Hipparchus.
34. Galois' Note on the Approximative Solution of Numerical Equations (1830).
35. Resolution of Singularities of Surfaces by P. Del Pezzo. A Mathematical Controversy with C. Segre
36. On Jacobi's transformation theory of elliptic functions
37. Complex continued fractions: early work of the brothers Adolf and Julius Hurwitz
38. Historical development of Teichmüller theory
39. The collaboration of Emil Artin and George Whaples: Artin's mathematical circle extends to America
40. "Local-Global": the first twenty years
41. From Problems to Structures: the Cousin Problems and the Emergence of the Sheaf Concept
42. Numerical solving of equations in the work of José Mariano Vallejo
43. A Framework for Defining the Generality of Diophantos' Methods in "Arithmetica"
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