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Selected Works Volume 1 Selected Research Papers 1st edition by Pontryagin, Gamkrelidze 9781000725162 1000725162

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Selected Works Volume 1 Selected Research Papers L. S. Pontryagin Digital Instant Download

Author(s): L. S. Pontryagin, R. V. Gamkrelidze (editor)
ISBN(s): 9781000721256
Edition: Reprint
File Details: PDF, 26.38 MB
Year: 2019
Language: english
SKU: EB-11911088 Category: Tags: ,

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ISBN 10: 1000725162
ISBN 13: 9781000725162 
Author: L. S. Pontryagin, R. V. Gamkrelidze

Among the finest achievements in modern mathematics are two of L.S. Pontryagin’s most notable contributions: Pontryagin duality and his general theory of characters of a locally compact commutative group. This book, the first in a four-volume set, contains the most important papers of this eminent mathematician, those which have influenced many generations of mathematicians worldwide. They chronicle the development of his work in many areas, from his early efforts in homology groups, duality theorems, and dimension theory to his later achievements in homotopic topology and optimal control theory.   On 3 September 1983 Lev Semenovich Pontryagin was seventy-five. To mark this important event in the life of this outstanding contemporary mathematician we are beginning the publication of his scientific works in four volumes, according to a decision taken by the Mathematics Division of the USSR Academy of Sciences. The first volume contains the most important mathematical papers of L. S. Pontryagin and also includes a bibliography of his basic scientific works, the second is his well-known monograph Topological Groups, the third comprises two monographs, Foundations of Algebraic Topology and Smooth Manifolds and Their Applications in Homotopy Theory, and the fourth is a revised edition of The Mathematical Theory of Optimal Processes by L. S. Pontryagin, V. G. Boltyanskii, R. V. Gamkrelidze, and E. F. Mishchenko.

Selected Works Volume 1 Selected Research Papers 1st Table of contents:

  1. Zum Alexanderschen Dualitätssatz
  2. Zum Alexanderschen Dualitätssatz Zweite Mitteilung
  3. Sur une Hypothèse Fondamentale de la Theorie de la Dimension
  4. Über den Algebraischen Inhalt Topologischer Dualitätssätze
  5. Beweis des Mengerschen Einbettungssatzes
  6. Über Stetige Algebraiche Körper
  7. On Dynamical Systems Close to Hamiltonian Systems
  8. The Theory of Topological Commutative Groups
  9. The General Topological Theorem of Duality for Closed Sets
  10. Sur les Groupes Topologiques Compacts et le Cinquième Problème de M. Hilbert
  11. Sur les Nombres de Betti des Groupes de Lie
  12. Rough Systems
  13. The Classification of Continuous Mappings of a Complex into a Sphere. Communication I
  14. The Classification of Continuous Mappings of a Complex into a Sphere. Communication II
  15. Homologies in Compact Lie Groups
  16. Über die Topologische Struktur der Lieschen Gruppen
  17. A Classification of Mappings of the Three-Dimensional Complex into the Two-Dimensional Sphere
  18. On the Zeros of Certain Elementary Transcendental Functions
  19. Mappings of a Three-Dimensional Sphere into an n-Dimensional Complex
  20. Characteristic Cycles of Manifolds
  21. A Method of Calculation of Homology Groups
  22. Hermitian Operators in a Space With an Indefinite Metric
  23. The Classification of Certain Skew Products
  24. Characteristic Cycles
  25. Topological Duality Theorems
  26. Characteristic Cycles of Differentiable Manifolds
  27. On Certain Topological Invariants of Closed Riemannian Manifolds
  28. Homotopic Classification of the Mappings of an (n + 2)-Dimen-sional Sphere into an n-Dimensional Sphere
  29. On the Zeros of Certain Elementary Transcendental Functions (Supplement)
  30. The Asymptotic Behaviour of the Solutions of Systems of Differential Equations With a Small Parameter Attached to Higher Derivatives
  31. Optimal Control Processes
  32. Linear Differential Games
  33. Linear Differential Evasion Games
  34. Linear Differential Pursuit Games
  35. Bibliography of Basic Publications of L. S. Pontryagin

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