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Mathematics of the 19th Century : Function Theory According to Chebyshev Ordinary Differential Equations Calculus of Variations Theory of Finite Differences - gebunden oder broschiert

1998, ISBN: 3764358459

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Mathematics of the 19th Century : Function Theory According to Chebyshev, Ordinary Differential Equations, Calculus of Variations, and Theory of Finit - gebrauchtes Buch

ISBN: 9783764358457

This book concludes the outstanding series of historical studies of the mathematics in the nineteenth century. Previous volumes have studied logic, algebra, number theory, probability, ge… Mehr…

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Mathematics of the 19th Century: Function Theory According to Chebyshev Ordinary Differential Equations Calculus of Variations Theory of Finite Differences - gebunden oder broschiert

1998

ISBN: 9783764358457

Birkhäuser, Gebundene Ausgabe, Auflage: 1998, 363 Seiten, Publiziert: 1998-03-24T00:00:01Z, Produktgruppe: Buch, Hersteller-Nr.: 1, 1.54 kg, Ingenieurwissenschaft & Technik, Naturwissensc… Mehr…

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Kolmogorov, A.N.:
Mathematics of the 19th Century: Function Theory According to Chebyshev Ordinary Differential Equations Calculus of Variations Theory of Finite Differences - gebunden oder broschiert

ISBN: 9783764358457

Birkhäuser. Hardcover. GOOD. Spine creases, wear to binding and pages from reading. May contain limited notes, underlining or highlighting that does affect the text. Possible ex library… Mehr…

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Mathematics of the 19th Century Function Theory According to Chebyshev Ordinary Differential Equations Calculus of Variations Theory of Finite Differences - Yushkevich, A. P. (Herausgeber); Kolmogorov, A. N. (Herausgeber)
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Yushkevich, A. P. (Herausgeber); Kolmogorov, A. N. (Herausgeber):
Mathematics of the 19th Century Function Theory According to Chebyshev Ordinary Differential Equations Calculus of Variations Theory of Finite Differences - gebunden oder broschiert

1998, ISBN: 3764358459

1998 Gebundene Ausgabe, mit Schutzumschlag 11, [PU:Birkhäuser Basel; Springer Basel AG]

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Details zum Buch
Mathematics of the 19th Century: Function Theory According to Chebyshev Ordinary Differential Equations Calculus of Variations Theory of Finite Differences
Autor:
Titel:
ISBN-Nummer:

3764358459


This book concludes the outstanding series of historical studies of the mathematics in the nineteenth century. Previous volumes have studied logic, algebra, number theory, probability, geometry, and analytic functions. The third volume encompasses: an essay on the development of Chebyshev's theory of approximation of functions, later called "Constructive function theory", a systematic analysis of the history of the theory of ordinary differential equations from Chauchy and certain of his predecessors up to Poincaré and A.M. Lyapunov, an essay of the development of the calculus of variations, and a study of the history of finite differences, in whose development Soviet mathematicians have played a prominent role. This book will be a valuable source of understanding the development of these areas. It provides the general reader, as well as historians of science, not only with the descriptive history but also with a good understanding of the outer and inner motivations and the results and effects of the presented concepts and methods.

Detailangaben zum Buch - Mathematics of the 19th Century: Function Theory According to Chebyshev Ordinary Differential Equations Calculus of Variations Theory of Finite Differences


EAN (ISBN-13): 9783764358457
ISBN (ISBN-10): 3764358459
Gebundene Ausgabe
Erscheinungsjahr: 1998
Herausgeber: Kolmogorov, A.N. Yushkevich, A.P. Birkhäuser
372 Seiten
Gewicht: 0,719 kg
Sprache: eng/Englisch

Buch in der Datenbank seit 2007-05-01T12:35:52+02:00 (Berlin)
Detailseite zuletzt geändert am 2024-03-25T03:49:23+01:00 (Berlin)
ISBN/EAN: 3764358459

ISBN - alternative Schreibweisen:
3-7643-5845-9, 978-3-7643-5845-7
Alternative Schreibweisen und verwandte Suchbegriffe:
Autor des Buches: kolmogorov, yushkevich
Titel des Buches: calculus ordinary differential equations, finite mathematics, difference, theory differential equations, functions, chebyshev, mathematics the 19th century, calculus iii, differential equations and calculus variations, the calculus finite differences

Daten vom Verlag:

Autor/in: A.N. Kolmogorov; A.P. Yushkevich
Titel: Mathematics of the 19th Century - Function Theory According to Chebyshev Ordinary Differential Equations Calculus of Variations Theory of Finite Differences
Verlag: Birkhäuser; Springer Basel
353 Seiten
Erscheinungsjahr: 1998-03-24
Basel; CH
Sprache: Englisch
106,99 € (DE)
109,99 € (AT)
118,00 CHF (CH)
Available
X, 353 p.

BB; Hardcover, Softcover / Mathematik/Allgemeines, Lexika; Geschichte der Mathematik; Verstehen; History of Mathematical Sciences; BC

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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