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Books by Gamkrelidze






Progress in Mathematics
Algebra and Geometry (Volume 9)
by R. V. Gamkrelidze
Paperback, 253 Pages, Published 2013 by Springer
ISBN-13: 978-1-4684-3308-1, ISBN: 1-4684-3308-3

"This volume contains five review articles, two in the Algebra part and three in the Geometry part, surveying the fields of cate­ gories and class field theory, in the Algebra part, and of Finsler spaces, structures on differentiable manifolds, and packing, cover­ ing, etc., in the Geometry part. The literature covered is primar­ Hy that published in 1964-1967. Contents ALGEBRA CATEGORIES ............... . 3 M. S. Tsalenko and E. G. Shul ..."






Mathematical Analysis(Reprint)
by R. V. Gamkrelidze
Paperback, 109 Pages, Published 2013 by Springer
ISBN-13: 978-1-4757-1591-0, ISBN: 1-4757-1591-9

"The present book contains three articles: "Systems of Linear Differential Equations," by V. P. Palamodov; "Fredholm Operators and Their Generalizations," by S. N. Krachkovskii and A. S. Di­ kanskii; and "Representations of Groups and Algebras in Spaces with an Indefinite Metric" by M. A. Naimark and R. S. Ismagilov. In the fi.rst article the accent is on those characteristics of systems of differential equations which distinguish the sy ..."






Progress in Mathematics
Probability Theory, Mathematical Statistics, and Theoretical Cybernetics (Volume 11)
by R. V. Gamkrelidze
Paperback, 124 Pages, Published 2012 by Springer
ISBN-13: 978-1-4684-3311-1, ISBN: 1-4684-3311-3

"This volume contains two review articles: "Stochastic Pro­ gramming" by Vo V. Kolbin, and "Application of Queueing-Theoretic Methods in Operations Research, " by N. Po Buslenko and A. P. Cherenkovo The first article covers almost all aspects of stochastic programming. Many of the results presented in it have not pre­ viously been surveyed in the Soviet literature and are of interest to both mathematicians and economists. The second arti ..."






Probability Theory, Mathematical Statistics, and Theoretical Cybernetics(Reprint)
by R. V. Gamkrelidze, Kelsey Crowe, J. S. Wood
Paperback, 120 Pages, Published 2012 by Springer
ISBN-13: 978-1-4684-8081-8, ISBN: 1-4684-8081-2

"This work is a continuation of earlier volumes under the heading "Probability Theory, Mathematical Statistics, and Theo retical Cybernetics," published as part of the "Itogi Nauki" series. The present volume comprises a single review article, en titled "Reliability of Discrete Systems," covering material pub lished mainly in the last six to eight years and abstracted in "Referativnyi Zhurnal-Matematika" (Soviet Abstract Journal in Mathe ..."






Algebra and Geometry(Reprint)
by R. V. Gamkrelidze, Kelsey Crowe, Limited Springer London
Paperback, 254 Pages, Published 2013 by Springer
ISBN-13: 978-1-4757-0509-6, ISBN: 1-4757-0509-3

"This volume contains five review articles, three in the Al­ gebra part and two in the Geometry part, surveying the fields of ring theory, modules, and lattice theory in the former, and those of integral geometry and differential-geometric methods in the calculus of variations in the latter. The literature covered is primarily that published in 1965-1968. v CONTENTS ALGEBRA RING THEORY L. A. Bokut', K. A. Zhevlakov, and E. N. Kuz'min § 1 ..."






Progress in Mathematics(1st Edition)
Mathematical Analysis, Vol.10
by R.V. Gamkrelidze, Revaz V. Gamkrelidze
Hardcover, 109 Pages, Published 1971 by Plenum
ISBN-13: 978-0-306-39210-8, ISBN: 0-306-39210-0

"The present book contains three articles: "Systems of Linear Differential Equations," by V. P. Palamodov; "Fredholm Operators and Their Generalizations," by S. N. Krachkovskii and A. S. Di­ kanskii; and "Representations of Groups and Algebras in Spaces with an Indefinite Metric" by M. A. Naimark and R. S. Ismagilov. In the fi.rst article the accent is on those characteristics of systems of differential equations which distinguish the sy ..."






Some Questions in the Theory of Oscillations and the Theory of Optimal Control
Collection of Papers (Proceedings of the Steklov Institute of Mathematics)
by R. V. Gamkrelidze, American Mathematical Society
Hardcover, 186 Pages, Published 1993 by Amer Mathematical Society
ISBN-13: 978-0-8218-3148-9, ISBN: 0-8218-3148-8

"A. T. Fuller, Relay control systems optimized for various performance criteria, Automation and Remote Control (Proc. First Internat. ... P. E. W. Grensted and A. T. Fuller, Minimization of integral-square-error for non-linear control systems of third and higher order, ... E. P. Ryan, Singular optimal controls for second-order saturating conditions, Internat. ... of 1st ed., Holt, Rinehart and Winston, New York , 1971; German transl. ..."






Analysis IV
Linear and Boundary Integral Equations (Encyclopaedia of Mathematical Sciences)
by Vladimir G. Maz'ya, S. M. Nikol'skij, Charles J. Byrne, R. V. Gamkrelidze
Hardcover, 228 Pages, Published 1991 by Springer Verlag
ISBN-13: 978-0-387-51997-5, ISBN: 0-387-51997-1

"The far side of the Moon, also called the "dark side of the Moon" was unknown to humanity until the Luna and Lunar Orbiter pictures were returned to Earth. This wonderful book contains beautiful photographs and newly-assembled mosaic images of the far side of the Moon, cleaned of transmission, imaging stripes and processing artifacts by today’s computer technology. Byrne’s superb analysis documents the appearance of the features of the ..."






Analysis I
Integral Representations and Asymptotic Methods (Encyclopaedia of Mathematical Sciences)
by R. V. Gamkrelidze, Springer Verlag
Hardcover, 1 Pages, Published 1989 by Springer-Verlag
ISBN-13: 978-0-387-17008-4, ISBN: 0-387-17008-1

"The major achievements of mathematical analysis from Newton and Euler to modern applications of mathematics in physical sciences, engineering and other areas are presented in this volume. Its three parts cover the methods of analysis: representation methods, asymptotic methods and transform methods. The authors - the well-known analysts M.A. Evgrafov and M.V. Fedoryuk - have not simply presented a compendium of techniques but have stres ..."






Probability Theory(1st Edition)
Mathematical Statistics and Theoretical Cybernetics (Progress in mathematics)
by R.V. Gamkrelidze
Hardcover, 145 Pages, Published 1995 by Springer
ISBN-13: 978-0-306-39207-8, ISBN: 0-306-39207-0






Twenty Papers on Analytic Functions and Ordinary Differential Equations
(American Mathematical Society Translations--Series 2)
by V. G. Boltyanskii, L.A. Dikii, N.P. Erugin, R. V. Gamkrelidze, B.P. Demidovich, G.M. Goluzin, S.A. Gel'fer, A.A. Gol'dberg, B.M. Levitan, N.A. Gubar', L.E. Reizin, Yu.A. Ryabov, E.F. Miscenko, N.N. Vinogradov, B.N. Skackov, N.N. Krasovskii, Yu. A. Klokov, L. S. Pontryagin
Hardcover, 382 Pages, Published 1961 by American Mathematical Society
ISBN-13: 978-0-8218-1718-6, ISBN: 0-8218-1718-3

"... (Russian) [6] D. K. Faddeev and I. S. Sominskii, Collection of problems in higher algebra, Gosudarstv. Izdat. Tehn.-Teor. Lit., Moscow-Leningrad, 1949* ( Russian) Translated by: John Abramowich indeed for the equation (8) S(x,






Algebraic and Differential Topology
by R.V. Gamkrelidze
252 Pages, Published 2022 by Routledge
ISBN-13: 978-1-351-46754-4, ISBN: 1-351-46754-9

"The framed manifold technique was designed to study the homotopic properties of mappings with the help of the information available about the differential-topological structure of a manifold. It was only fruitful in classifying ..."






Selected Research Papers
L. S Pontryagin Select Works Volume 1
by R.V. Gamkrelidze
620 Pages, Published 2019 by Crc Press
ISBN-13: 978-1-00-071734-1, ISBN: 1-00-071734-8

"L.S Pontryagin Select Works Volume 1 R.V. Gamkrelidze. p. collaboration with V. G. Boltyanskii, and R. V. Gamkrelidze) (in Russian). 91. An approximate solution of a system of ordinary differential equations with a small parameter attached to ..."






L. S. Pontryagin Selected Works
Topological groups. Volume 2
by R.V. Gamkrelidze, Lev Semenovich Pontri︠a︡gin
544 Pages, Published 2018 by Routledge
ISBN-13: 978-1-351-40793-9, ISBN: 1-351-40793-7

"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."






Progress in Mathematics Ser.
Probability Theory, Mathematical Statistics, and Theoretical Cybernetics
by R. V. Gamkrelidze
110 Pages, Published 2013 by Springer Science & Business Media
ISBN-13: 978-1-4684-8079-5, ISBN: 1-4684-8079-0

"Various types of series and parallel composition. a) 1-fold series composition; b) 1-fold parallel composition; c) 1 x 1 ... in the event of inadequate structural reliability the continued applifSometimes called "block" or "modular" composition in the ..."






Encyclopedia of Mathematical Sciences
Partial Differential Equations VII : Spectral Theory of Differential Operators Vol. 64
by M. A. Shubin, R. V. Gamkrelidze, G. V. Rozenblum, Mikhail Aleksandrovich Shubin, M. Z. Solomi͡ak, Mihail Aleksandrovič Šubin, M. Z. Solomi︠a︡k
Hardcover, 277 Pages, Published 1994 by Springer
ISBN-13: 978-0-387-54677-3, ISBN: 0-387-54677-4

"This "EMS" volume contains a survey of the principles and advanced techniques of the spectral theory of linear differential and pseudodifferential operators in finite-dimensional spaces."






Geometry I
Basic Ideas and Concepts of Differential Geometry (Encyclopaedia of Mathematical Sciences)
by R. V. Gamkrelidze, Dmitriĭ Vladimirovich Alekseevskiĭ, Valentin Vasilʹevich Lychagin, Aleksandr Mikhaĭlovich Vinogradov
Hardcover, 256 Pages, Published 1991 by Springer Verlag
ISBN-13: 978-0-387-51999-9, ISBN: 0-387-51999-8

"Since the early work of Gauss and Riemann, differential geometry has grown into a vast network of ideas and approaches, encompassing local considerations such as differential invariants and jets as well as global ideas, such as Morse theory and characteristic classes. In this volume of the Encyclopaedia, the authors give a tour of the principal areas and methods of modern differential geomerty. The book is structured so that the reader ..."






Probability Theory, Mathematical Statistics, and Theoretical Cybernetics
(Progress in Mathematics, Vol. 11)
by R.V. Gamkrelidze
Hardcover, 124 Pages, Published 1995 by Springer
ISBN-13: 978-0-306-39211-5, ISBN: 0-306-39211-9

"This volume contains two review articles: "Stochastic Pro­ gramming" by Vo V. Kolbin, and "Application of Queueing-Theoretic Methods in Operations Research, " by N. Po Buslenko and A. P. Cherenkovo The first article covers almost all aspects of stochastic programming. Many of the results presented in it have not pre­ viously been surveyed in the Soviet literature and are of interest to both mathematicians and economists. The second arti ..."






Probability Theory, Mathematical Statistics, and Theoretical Cybernetics(1st Edition)
(Progress in Mathematics)
by R.V. Gamkrelidze, Revaz Valerianovich Gamkrelidze, J. S. Wood
Hardcover, 110 Pages, Published 1995 by Springer
ISBN-13: 978-0-306-39213-9, ISBN: 0-306-39213-5

"Reliability of Discrete Systems MA Gavrilov, VH Ostianu, and AI Potekhin I ntroduction Four years have elapsed since the publication of [], in which the ..."






Progress in Mathematics Ser.
Progress in Mathematics : Algebra and Geometry
by R.V. Gamkrelidze, Revaz V. Gamkrelidze
Pasta Dura, 253 Pages, Published 1995 by Springer
ISBN-13: 978-0-306-39209-2, ISBN: 0-306-39209-7

"This volume contains five review articles, two in the Algebra part and three in the Geometry part, surveying the fields of cate gories and class field theory, in the Algebra part, and of Finsler spaces, structures on differentiable ..."



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