Mathematics of the 19th Century

Function Theory According to Chebyshev Ordinary Differential Equations Calculus of Variations Theory of Finite Differences

Häftad, Engelska, 2012

AvA.N. Kolmogorov,A.P. Yushkevich,A. N. Kolmogorov,A. P. Yushkevich

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The editors of the present series had originally intended to publish an integrated work on the history of mathematics in the nineteenth century, passing systemati cally from one discipline to another in some natural order.

Produktinformation

Utgivningsdatum2012-11-05
Mått155 x 235 x 21 mm
Vikt563 g
FormatHäftad
SpråkEngelska
Antal sidor353
FörlagSpringer Basel
ISBN9783034898010

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Matematikens historia inom Naturvetenskap och teknik

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.