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Classics of Soviet Mathematics


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A.D. Alexandrov Selected Works Part II:   Intrinsic Geometry of Convex Surfaces

A.D. Alexandrov: Selected Works Part II: Intrinsic Geometry of Convex Surfaces

1st Edition

Edited By S.S. Kutateladze
July 25, 2005

A.D. Alexandrov is considered by many to be the father of intrinsic geometry, second only to Gauss in surface theory. That appraisal stems primarily from this masterpiece--now available in its entirely for the first time since its 1948 publication in Russian. Alexandrov's treatiseĀ  begins with an ...

Descriptive Theory of Sets and Functions. Functional Analysis in Semi-ordered Spaces

Descriptive Theory of Sets and Functions. Functional Analysis in Semi-ordered Spaces

1st Edition

By L.V. Kantorovich
February 19, 1996

This book presents articles of L.V. Kantorovich on the descriptive theory of sets and function and on functional analysis in semi-ordered spaces, to demonstrate the unity of L.V. Kantorovich's creative research. It also includes two papers on the "extension of Hilbert space"....

Differential Equations

Differential Equations

1st Edition

By O.A. Oleinik
February 09, 1996

Part II of the Selected Works of Ivan Georgievich Petrowsky, contains his major papers on second order Partial differential equations, systems of ordinary. Differential equations, the theory, of Probability, the theory of functions, and the calculus of variations. Many of the articles contained in ...

Algebraic and Differential Topology

Algebraic and Differential Topology

1st Edition

By R. V. Gamkrelidze
March 06, 1987

Algebraic and Differential Topology presents in a clear, concise, and detailed manner the fundamentals of homology theory. It first defines the concept of a complex and its Betti groups, then discusses the topolgoical invariance of a Betti group. The book next presents various applications of ...

Mathematical Theory of Optimal Processes

Mathematical Theory of Optimal Processes

1st Edition

By L.S. Pontryagin
March 06, 1987

The fourth and final volume in this comprehensive set presents the maximum principle as a wide ranging solution to nonclassical, variational problems. This one mathematical method can be applied in a variety of situations, including linear equations with variable coefficients, optimal processes ...

Selected Research Papers

Selected Research Papers

1st Edition

By L.S. Pontryagn
March 06, 1987

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 ...

Topological Groups

Topological Groups

1st Edition

By R. V. Gamkrelidze
March 06, 1987

Offering the insights of L.S. Pontryagin, one of the foremost thinkers in modern mathematics, the second volume in this four-volume set examines the nature and processes that make up topological groups. Already hailed as the leading work in this subject for its abundance of examples and its ...

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