Mathematics: An Historian’s Perspective -- Une Méthode de Restitution — quelques examples dans le cas de Pascal -- The Birth of Maxwell’s Electro-Magnetic Field Equations -- Complex Curves — Origins and Intrinsic Geometry -- From Gauß to Weierstraß: Determinant Theory and Its Historical Evaluation -- The Reciprocity Law from Euler to Eisenstein -- Three Aspects of the Theory of Complex Multiplication -- The Establishment of the Takagi-Artin Class Field Theory -- Where Did Twentieth-Century Mathematics Go Wrong? -- Indian Mathematics in Arabic -- The Tetsujutsu Sankei (1722), an 18th Century Treatise on the Methods of Investigation in Mathematics -- The Adoption of Western Mathematics in Meiji Japan, 1853–1903 -- The Philosophical Views of Klein and Hilbert -- Hermann Weyl’s Contribution to Geometry in the Years 1918 to 1923 -- The Origins of Infinite Dimensional Unitary Representations of Lie Groups -- Dispelling a Myth: Questions and Answers about Bourbaki’s Early Works, 1934–1944 -- Questions in the Historiography of Modern Mathematics: Documentation and the Use of Primary Sources [Abstract] -- List of Invited Speakers at the Tokyo History of Mathematics Symposium 1990 -- List of Speakers and Titles of Their Lectures at Session B (Short Communications).