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Autor Yuri Ivanovich Manin |
Documentos disponibles escritos por este autor (6)
Refinar búsquedaArithmetic and Geometry Around Quantization / SpringerLink (Online service) ; Özgür Ceyhan ; Yuri Ivanovich Manin ; Matilde Marcolli (2010)
Título : Arithmetic and Geometry Around Quantization Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Özgür Ceyhan ; Yuri Ivanovich Manin ; Matilde Marcolli Editorial: Boston, MA : Birkhäuser Boston Fecha de publicación: 2010 Colección: Progress in Mathematics num. 279 Número de páginas: VIII, 292 p. 20 illus Il.: online resource ISBN/ISSN/DL: 978-0-8176-4831-2 Idioma : Inglés (eng) Palabras clave: Mathematics Algebra Algebraic geometry Applied mathematics Engineering Geometry Physics Quantum physics Applications of Mathematical Methods in Clasificación: 51 Matemáticas Resumen: In recent decades, quantization has led to interesting applications in various mathematical branches. This volume, comprised of research and survey articles, discusses key topics, including symplectic and algebraic geometry, representation theory, quantum groups, the geometric Langlands program, quantum ergodicity, and non-commutative geometry. A wide range of topics related to quantization are covered, giving a glimpse of the broad subject. The articles are written by distinguished mathematicians in the field and reflect subsequent developments following the Arithmetic and Geometry around Quantization conference held in Istanbul. List of Contributors: S. Akbulut R. Hadani S. Arkhipov K. Kremnizer Ö. Ceyhan S. Mahanta E. Frenkel S. Salur K. Fukaya G. Ben Simon D. Gaitsgory W. van Suijlekom S. Gurevich Nota de contenido: Mirror Duality via G 2 and Spin(7) Manifolds -- 2-Gerbes and 2-Tate Spaces -- The Geometry of Partial Order on Contact Transformations of Prequantization Manifolds -- Towards Quantum Cohomology of Real Varieties -- Weyl Modules and Opers without Monodromy -- Differentiable Operads, the Kuranishi Correspondence, and Foundations of Topological Field Theories Based on Pseudo-Holomorphic Curves -- Notes on the Self-Reducibility of the Weil Representation and Higher-Dimensional Quantum Chaos -- Notes on Canonical Quantization of Symplectic Vector Spaces over Finite Fields -- Noncommutative Geometry in the Framework of Differential Graded Categories -- Multiplicative Renormalization and Hopf Algebras En línea: http://dx.doi.org/10.1007/978-0-8176-4831-2 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33543 Arithmetic and Geometry Around Quantization [documento electrónico] / SpringerLink (Online service) ; Özgür Ceyhan ; Yuri Ivanovich Manin ; Matilde Marcolli . - Boston, MA : Birkhäuser Boston, 2010 . - VIII, 292 p. 20 illus : online resource. - (Progress in Mathematics; 279) .
ISBN : 978-0-8176-4831-2
Idioma : Inglés (eng)
Palabras clave: Mathematics Algebra Algebraic geometry Applied mathematics Engineering Geometry Physics Quantum physics Applications of Mathematical Methods in Clasificación: 51 Matemáticas Resumen: In recent decades, quantization has led to interesting applications in various mathematical branches. This volume, comprised of research and survey articles, discusses key topics, including symplectic and algebraic geometry, representation theory, quantum groups, the geometric Langlands program, quantum ergodicity, and non-commutative geometry. A wide range of topics related to quantization are covered, giving a glimpse of the broad subject. The articles are written by distinguished mathematicians in the field and reflect subsequent developments following the Arithmetic and Geometry around Quantization conference held in Istanbul. List of Contributors: S. Akbulut R. Hadani S. Arkhipov K. Kremnizer Ö. Ceyhan S. Mahanta E. Frenkel S. Salur K. Fukaya G. Ben Simon D. Gaitsgory W. van Suijlekom S. Gurevich Nota de contenido: Mirror Duality via G 2 and Spin(7) Manifolds -- 2-Gerbes and 2-Tate Spaces -- The Geometry of Partial Order on Contact Transformations of Prequantization Manifolds -- Towards Quantum Cohomology of Real Varieties -- Weyl Modules and Opers without Monodromy -- Differentiable Operads, the Kuranishi Correspondence, and Foundations of Topological Field Theories Based on Pseudo-Holomorphic Curves -- Notes on the Self-Reducibility of the Weil Representation and Higher-Dimensional Quantum Chaos -- Notes on Canonical Quantization of Symplectic Vector Spaces over Finite Fields -- Noncommutative Geometry in the Framework of Differential Graded Categories -- Multiplicative Renormalization and Hopf Algebras En línea: http://dx.doi.org/10.1007/978-0-8176-4831-2 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33543 Ejemplares
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Título : A Course in Mathematical Logic for Mathematicians Tipo de documento: documento electrónico Autores: Yuri Ivanovich Manin ; SpringerLink (Online service) Editorial: New York, NY : Springer New York Fecha de publicación: 2010 Colección: Graduate Texts in Mathematics, ISSN 0072-5285 num. 53 Número de páginas: XVIII, 384 p. 12 illus Il.: online resource ISBN/ISSN/DL: 978-1-4419-0615-1 Idioma : Inglés (eng) Palabras clave: Mathematics Logic Mathematical logic and Foundations Clasificación: 51 Matemáticas Resumen: A Course in Mathematical Logic for Mathematicians, Second Edition offers a straightforward introduction to modern mathematical logic that will appeal to the intuition of working mathematicians. The book begins with an elementary introduction to formal languages and proceeds to a discussion of proof theory. It then presents several highlights of 20th century mathematical logic, including theorems of Gödel and Tarski, and Cohen's theorem on the independence of the continuum hypothesis. A unique feature of the text is a discussion of quantum logic. The exposition then moves to a discussion of computability theory that is based on the notion of recursive functions and stresses number-theoretic connections. The text present a complete proof of the theorem of Davis–Putnam–Robinson–Matiyasevich as well as a proof of Higman's theorem on recursive groups. Kolmogorov complexity is also treated. Part III establishes the essential equivalence of proof theory and computation theory and gives applications such as Gödel's theorem on the length of proofs. A new Chapter IX, written by Yuri Manin, treats, among other things, a categorical approach to the theory of computation, quantum computation, and the P/NP problem. A new Chapter X, written by Boris Zilber, contains basic results of model theory and its applications to mainstream mathematics. This theory has found deep applications in algebraic and diophantine geometry. Yuri Ivanovich Manin is Professor Emeritus at Max-Planck-Institute for Mathematics in Bonn, Germany, Board of Trustees Professor at the Northwestern University, Evanston, IL, USA, and Principal Researcher at the Steklov Institute of Mathematics, Moscow, Russia. Boris Zilber, Professor of Mathematical Logic at the University of Oxford, has contributed the Model Theory Chapter for the second edition Nota de contenido: PROVABILITY -- to Formal Languages -- Truth and Deducibility -- The Continuum Problem and Forcing -- The Continuum Problem and Constructible Sets -- COMPUTABILITY -- Recursive Functions and Church#x2019;s Thesis -- Diophantine Sets and Algorithmic Undecidability -- PROVABILITY AND COMPUTABILITY -- G#x00F6;del#x2019;s Incompleteness Theorem -- Recursive Groups -- Constructive Universe and Computation -- MODEL THEORY -- Model Theory En línea: http://dx.doi.org/10.1007/978-1-4419-0615-1 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33577 A Course in Mathematical Logic for Mathematicians [documento electrónico] / Yuri Ivanovich Manin ; SpringerLink (Online service) . - New York, NY : Springer New York, 2010 . - XVIII, 384 p. 12 illus : online resource. - (Graduate Texts in Mathematics, ISSN 0072-5285; 53) .
ISBN : 978-1-4419-0615-1
Idioma : Inglés (eng)
Palabras clave: Mathematics Logic Mathematical logic and Foundations Clasificación: 51 Matemáticas Resumen: A Course in Mathematical Logic for Mathematicians, Second Edition offers a straightforward introduction to modern mathematical logic that will appeal to the intuition of working mathematicians. The book begins with an elementary introduction to formal languages and proceeds to a discussion of proof theory. It then presents several highlights of 20th century mathematical logic, including theorems of Gödel and Tarski, and Cohen's theorem on the independence of the continuum hypothesis. A unique feature of the text is a discussion of quantum logic. The exposition then moves to a discussion of computability theory that is based on the notion of recursive functions and stresses number-theoretic connections. The text present a complete proof of the theorem of Davis–Putnam–Robinson–Matiyasevich as well as a proof of Higman's theorem on recursive groups. Kolmogorov complexity is also treated. Part III establishes the essential equivalence of proof theory and computation theory and gives applications such as Gödel's theorem on the length of proofs. A new Chapter IX, written by Yuri Manin, treats, among other things, a categorical approach to the theory of computation, quantum computation, and the P/NP problem. A new Chapter X, written by Boris Zilber, contains basic results of model theory and its applications to mainstream mathematics. This theory has found deep applications in algebraic and diophantine geometry. Yuri Ivanovich Manin is Professor Emeritus at Max-Planck-Institute for Mathematics in Bonn, Germany, Board of Trustees Professor at the Northwestern University, Evanston, IL, USA, and Principal Researcher at the Steklov Institute of Mathematics, Moscow, Russia. Boris Zilber, Professor of Mathematical Logic at the University of Oxford, has contributed the Model Theory Chapter for the second edition Nota de contenido: PROVABILITY -- to Formal Languages -- Truth and Deducibility -- The Continuum Problem and Forcing -- The Continuum Problem and Constructible Sets -- COMPUTABILITY -- Recursive Functions and Church#x2019;s Thesis -- Diophantine Sets and Algorithmic Undecidability -- PROVABILITY AND COMPUTABILITY -- G#x00F6;del#x2019;s Incompleteness Theorem -- Recursive Groups -- Constructive Universe and Computation -- MODEL THEORY -- Model Theory En línea: http://dx.doi.org/10.1007/978-1-4419-0615-1 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33577 Ejemplares
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Título : Geometry and Dynamics of Groups and Spaces : In Memory of Alexander Reznikov Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Mikhail Kapranov ; Yuri Ivanovich Manin ; Pieter Moree ; Sergiy Kolyada ; Leonid Potyagailo Editorial: Basel : Birkhäuser Basel Fecha de publicación: 2008 Colección: Progress in Mathematics num. 265 Número de páginas: XXIX, 742 p Il.: online resource ISBN/ISSN/DL: 978-3-7643-8608-5 Idioma : Inglés (eng) Palabras clave: Mathematics Topological groups Lie Dynamics Ergodic theory Geometry Differential geometry Algebraic topology Groups, Groups Dynamical Systems and Theory Topology Clasificación: 51 Matemáticas Nota de contenido: Analytic Topology of Groups, Actions, Strings and Varieties -- Analytic Topology of Groups, Actions, Strings and Varieties -- Research Articles -- Jørgensen’s Inequality for Non-Archimedean Metric Spaces -- The Hypoelliptic Dirac Operator -- Generalized Operads and Their Inner Cohomomorphisms -- Chern Character for Twisted Complexes -- (C, F)-Actions in Ergodic Theory -- Homomorphic Images of Branch Groups, and Serre’s Property (FA) -- On Nori’s Fundamental Group Scheme -- The Reidemeister Number of Any Automorphism of a Baumslag-Solitar Group is Infinite -- Pentagon Relation for the Quantum Dilogarithm and Quantized M 0,5 cyc -- Geodesic Flow on the Normal Congruence of a Minimal Surface -- The Chern Character of a Parabolic Bundle, and a Parabolic Corollary of Reznikov’s Theorem -- Kleinian Groups in Higher Dimensions -- A ?-bimodules and Serre A ?-functors -- Geometrization of Probability -- Milnor Invariants and l-Class Groups -- Three Topological Properties of Small Eigenfunctions on Hyperbolic Surfaces -- Quantum p-adic Spaces and Quantum p-adic Groups -- Convolution Equations on Lattices: Periodic Solutions with Values in a Prime Characteristic Field En línea: http://dx.doi.org/10.1007/978-3-7643-8608-5 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34399 Geometry and Dynamics of Groups and Spaces : In Memory of Alexander Reznikov [documento electrónico] / SpringerLink (Online service) ; Mikhail Kapranov ; Yuri Ivanovich Manin ; Pieter Moree ; Sergiy Kolyada ; Leonid Potyagailo . - Basel : Birkhäuser Basel, 2008 . - XXIX, 742 p : online resource. - (Progress in Mathematics; 265) .
ISBN : 978-3-7643-8608-5
Idioma : Inglés (eng)
Palabras clave: Mathematics Topological groups Lie Dynamics Ergodic theory Geometry Differential geometry Algebraic topology Groups, Groups Dynamical Systems and Theory Topology Clasificación: 51 Matemáticas Nota de contenido: Analytic Topology of Groups, Actions, Strings and Varieties -- Analytic Topology of Groups, Actions, Strings and Varieties -- Research Articles -- Jørgensen’s Inequality for Non-Archimedean Metric Spaces -- The Hypoelliptic Dirac Operator -- Generalized Operads and Their Inner Cohomomorphisms -- Chern Character for Twisted Complexes -- (C, F)-Actions in Ergodic Theory -- Homomorphic Images of Branch Groups, and Serre’s Property (FA) -- On Nori’s Fundamental Group Scheme -- The Reidemeister Number of Any Automorphism of a Baumslag-Solitar Group is Infinite -- Pentagon Relation for the Quantum Dilogarithm and Quantized M 0,5 cyc -- Geodesic Flow on the Normal Congruence of a Minimal Surface -- The Chern Character of a Parabolic Bundle, and a Parabolic Corollary of Reznikov’s Theorem -- Kleinian Groups in Higher Dimensions -- A ?-bimodules and Serre A ?-functors -- Geometrization of Probability -- Milnor Invariants and l-Class Groups -- Three Topological Properties of Small Eigenfunctions on Hyperbolic Surfaces -- Quantum p-adic Spaces and Quantum p-adic Groups -- Convolution Equations on Lattices: Periodic Solutions with Values in a Prime Characteristic Field En línea: http://dx.doi.org/10.1007/978-3-7643-8608-5 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34399 Ejemplares
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Título : Introduction to Modern Number Theory : Fundamental Problems, Ideas and Theories Tipo de documento: documento electrónico Autores: Yuri Ivanovich Manin ; SpringerLink (Online service) ; Alexei A. Panchishkin Editorial: Berlin, Heidelberg : Springer Berlin Heidelberg Fecha de publicación: 2005 Otro editor: Imprint: Springer Colección: Encyclopaedia of Mathematical Sciences, ISSN 0938-0396 num. 49 Número de páginas: XVI, 514 p Il.: online resource ISBN/ISSN/DL: 978-3-540-27692-0 Idioma : Inglés (eng) Palabras clave: Mathematics Data encryption (Computer science) Algebraic geometry Mathematical logic Number theory Physics Theory Geometry Logic and Foundations Methods in Encryption Numerical Computational Clasificación: 51 Matemáticas Resumen: "Introduction to Modern Number Theory" surveys from a unified point of view both the modern state and the trends of continuing development of various branches of number theory. Motivated by elementary problems, the central ideas of modern theories are exposed. Some topics covered include non-Abelian generalizations of class field theory, recursive computability and Diophantine equations, zeta- and L-functions. This substantially revised and expanded new edition contains several new sections, such as Wiles' proof of Fermat's Last Theorem, and relevant techniques coming from a synthesis of various theories. Moreover, the authors have added a part dedicated to arithmetical cohomology and noncommutative geometry, a report on point counts on varieties with many rational points, the recent polynomial time algorithm for primality testing, and some others subjects. From the reviews of the 2nd edition: "… For my part, I come to praise this fine volume. This book is a highly instructive read … the quality, knowledge, and expertise of the authors shines through. … The present volume is almost startlingly up-to-date ..." (A. van der Poorten, Gazette, Australian Math. Soc. 34 (1), 2007) Nota de contenido: Problems and Tricks -- Number Theory -- Some Applications of Elementary Number Theory -- Ideas and Theories -- Induction and Recursion -- Arithmetic of algebraic numbers -- Arithmetic of algebraic varieties -- Zeta Functions and Modular Forms -- Fermat’s Last Theorem and Families of Modular Forms -- Analogies and Visions -- Introductory survey to part III: motivations and description -- Arakelov Geometry and Noncommutative Geometry (d’après C. Consani and M. Marcolli, [CM]) En línea: http://dx.doi.org/10.1007/3-540-27692-0 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=35286 Introduction to Modern Number Theory : Fundamental Problems, Ideas and Theories [documento electrónico] / Yuri Ivanovich Manin ; SpringerLink (Online service) ; Alexei A. Panchishkin . - Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2005 . - XVI, 514 p : online resource. - (Encyclopaedia of Mathematical Sciences, ISSN 0938-0396; 49) .
ISBN : 978-3-540-27692-0
Idioma : Inglés (eng)
Palabras clave: Mathematics Data encryption (Computer science) Algebraic geometry Mathematical logic Number theory Physics Theory Geometry Logic and Foundations Methods in Encryption Numerical Computational Clasificación: 51 Matemáticas Resumen: "Introduction to Modern Number Theory" surveys from a unified point of view both the modern state and the trends of continuing development of various branches of number theory. Motivated by elementary problems, the central ideas of modern theories are exposed. Some topics covered include non-Abelian generalizations of class field theory, recursive computability and Diophantine equations, zeta- and L-functions. This substantially revised and expanded new edition contains several new sections, such as Wiles' proof of Fermat's Last Theorem, and relevant techniques coming from a synthesis of various theories. Moreover, the authors have added a part dedicated to arithmetical cohomology and noncommutative geometry, a report on point counts on varieties with many rational points, the recent polynomial time algorithm for primality testing, and some others subjects. From the reviews of the 2nd edition: "… For my part, I come to praise this fine volume. This book is a highly instructive read … the quality, knowledge, and expertise of the authors shines through. … The present volume is almost startlingly up-to-date ..." (A. van der Poorten, Gazette, Australian Math. Soc. 34 (1), 2007) Nota de contenido: Problems and Tricks -- Number Theory -- Some Applications of Elementary Number Theory -- Ideas and Theories -- Induction and Recursion -- Arithmetic of algebraic numbers -- Arithmetic of algebraic varieties -- Zeta Functions and Modular Forms -- Fermat’s Last Theorem and Families of Modular Forms -- Analogies and Visions -- Introductory survey to part III: motivations and description -- Arakelov Geometry and Noncommutative Geometry (d’après C. Consani and M. Marcolli, [CM]) En línea: http://dx.doi.org/10.1007/3-540-27692-0 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=35286 Ejemplares
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Título : Mathematical Events of the Twentieth Century Tipo de documento: documento electrónico Autores: A. A. Bolibruch ; Yu S. Osipov ; Yakov G. Sinai ; Vladimir I. Arnold ; A. M. Vershik ; Yuri Ivanovich Manin Editorial: Berlin, Heidelberg : Springer Berlin Heidelberg Fecha de publicación: 2006 Número de páginas: VIII, 545 p. 96 illus Il.: online resource ISBN/ISSN/DL: 978-3-540-29462-7 Idioma : Inglés (eng) Palabras clave: Mathematics History Physics of Mathematical Sciences Mathematics, general Physics, Clasificación: 51 Matemáticas Resumen: Russian mathematics (later Soviet mathematics, and Russian mathematics once again) occupies a special place in twentieth-century mathematics. In addition to its well-known achievements, Russian mathematics established a unique style of research based on the existence of prominent mathematical schools. These schools were headed by recognized leaders, who became famous due to their talents and outstanding contributions to science. The present collection is intended primarily to gather in one book the t- timonies of the participants in the development of mathematics over the past century. In their articles the authors have expressed their own points of view on the events that took place. The editors have not felt that they had a right to make any changes, other than stylistic ones, or to add any of their own commentary to the text. Naturally, the points of view of the authors should not be construed as those of the editors. The list of mathematicians invited to participate in the present edition was quite long. Unfortunately, some of the authors for various reasons did not accept our invitation, and regretfully a number of areas of research are not fully represented here. Nevertheless, the material that has been assembled is of great value not only in the scientific sense, but also in its historical context. We wish to express our gratitude to all the authors who contributed Nota de contenido: Dynamical Systems in the 1960s: The Hyperbolic Revolution -- From Hilbert’s Superposition Problem to Dynamical Systems -- Inverse Monodromy Problems of the Analytic Theory of Differential Equations -- What Modern Mathematical Physics Is Supposed to Be -- Discovery of the Maximum Principle -- The Qualitative Theory of Differential Equations in the Plane -- Computerization… Let’s Be Careful -- The Generalized Shift, Transformation Operators, and Inverse Problems -- Mathematics and the Trajectories of Typhoons -- Hilbert’s Tenth Problem: Diophantine Equations in the Twentieth Century -- Observations on the Movement of People and Ideas in Twentieth-Century Mathematics -- About Aleksandrov, Pontryagin and Their Scientific Schools -- Hilbert’s Seventh Problem -- The Great Kolmogorov -- Numbers as Functions: The Development of an Idea in the Moscow School of Algebraic Geometry -- The P NP-Problem: A View from the 1990s -- Homoclinic Trajectories: From Poincaré to the Present -- From “Disorder” to Nonlinear Filtering and Martingale Theory -- How Mathematicians and Physicists Found Each Other in the Theory of Dynamical Systems and in Statistical Mechanics -- Approximation Theory in the Twentieth Century -- The Life and Fate of Functional Analysis in the Twentieth Century -- Half a Century As One Day -- Nikolai Nikolaevich Bogolyubov — Mathematician by the Grace of God -- Global Solvability Versus Collapse in the Dynamics of an Incompressible Fluid En línea: http://dx.doi.org/10.1007/3-540-29462-7 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34922 Mathematical Events of the Twentieth Century [documento electrónico] / A. A. Bolibruch ; Yu S. Osipov ; Yakov G. Sinai ; Vladimir I. Arnold ; A. M. Vershik ; Yuri Ivanovich Manin . - Berlin, Heidelberg : Springer Berlin Heidelberg, 2006 . - VIII, 545 p. 96 illus : online resource.
ISBN : 978-3-540-29462-7
Idioma : Inglés (eng)
Palabras clave: Mathematics History Physics of Mathematical Sciences Mathematics, general Physics, Clasificación: 51 Matemáticas Resumen: Russian mathematics (later Soviet mathematics, and Russian mathematics once again) occupies a special place in twentieth-century mathematics. In addition to its well-known achievements, Russian mathematics established a unique style of research based on the existence of prominent mathematical schools. These schools were headed by recognized leaders, who became famous due to their talents and outstanding contributions to science. The present collection is intended primarily to gather in one book the t- timonies of the participants in the development of mathematics over the past century. In their articles the authors have expressed their own points of view on the events that took place. The editors have not felt that they had a right to make any changes, other than stylistic ones, or to add any of their own commentary to the text. Naturally, the points of view of the authors should not be construed as those of the editors. The list of mathematicians invited to participate in the present edition was quite long. Unfortunately, some of the authors for various reasons did not accept our invitation, and regretfully a number of areas of research are not fully represented here. Nevertheless, the material that has been assembled is of great value not only in the scientific sense, but also in its historical context. We wish to express our gratitude to all the authors who contributed Nota de contenido: Dynamical Systems in the 1960s: The Hyperbolic Revolution -- From Hilbert’s Superposition Problem to Dynamical Systems -- Inverse Monodromy Problems of the Analytic Theory of Differential Equations -- What Modern Mathematical Physics Is Supposed to Be -- Discovery of the Maximum Principle -- The Qualitative Theory of Differential Equations in the Plane -- Computerization… Let’s Be Careful -- The Generalized Shift, Transformation Operators, and Inverse Problems -- Mathematics and the Trajectories of Typhoons -- Hilbert’s Tenth Problem: Diophantine Equations in the Twentieth Century -- Observations on the Movement of People and Ideas in Twentieth-Century Mathematics -- About Aleksandrov, Pontryagin and Their Scientific Schools -- Hilbert’s Seventh Problem -- The Great Kolmogorov -- Numbers as Functions: The Development of an Idea in the Moscow School of Algebraic Geometry -- The P NP-Problem: A View from the 1990s -- Homoclinic Trajectories: From Poincaré to the Present -- From “Disorder” to Nonlinear Filtering and Martingale Theory -- How Mathematicians and Physicists Found Each Other in the Theory of Dynamical Systems and in Statistical Mechanics -- Approximation Theory in the Twentieth Century -- The Life and Fate of Functional Analysis in the Twentieth Century -- Half a Century As One Day -- Nikolai Nikolaevich Bogolyubov — Mathematician by the Grace of God -- Global Solvability Versus Collapse in the Dynamics of an Incompressible Fluid En línea: http://dx.doi.org/10.1007/3-540-29462-7 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34922 Ejemplares
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