Table of Contents

1 Function Theory According to Chebyshev.- 1.1 Introduction.- 1.2 Functions of Minimal Deviation from Zero.- 1.3 Continued Fractions.- 1.4 Conclusion.- 2 Ordinary Differential Equations.- 2.1 Summary of the Development of Ordinary Differetial Equations in the Eighteenth-Century.- 2.2 The Problem of Existence and Uniqueness.- 2.3 Integration of Equations in Quadratures.- 2.4 Linear Differential Equations.- 2.5 The Analytic Theory of Differential Equations.- 2.6 The Qualitative Theory of Differential Equations.- 3 The Calculus of Variations.- 3.1 Introduction.- 3.2 Calculus of Variations in the First Half of the Nineteenth Century.- 3.3 Calculus of Variations in the Second Half of the Nineteenth Century.- 3.4 Conclusion. On Some Trends in the Development of the Calculus of Variations at the Turn of the Twentieth Century.- 4 The Calculus of Finite Differences.- 4.1 Interpolation.- 4.2 The Euler-Maclaurin Summation Formula.- 4.3 Finite-Difference Equations.- 4.4 Conclusion.- AbbreviationsUsed for Multivolume and Periodical Publications.- A. General Works.- B. Collected Works and Classical Editions.- Literature to Part 1.- Literature to Part 2.- Literature to Part 3.- Literature to Part 4.- Index of Names.

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