S.I. Gelfand's Books

Homological Algebra

By: S.I. Gelfand,Yu.I. Manin

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This book, the first printing of which was published as volume 38 of the Encyclopaedia of Mathematical Sciences, presents a modern approach to homological algebra, based on the systematic use of the terminology and ideas of derived categories and derived functors. The book contains applications of homological algebra to the theory of sheaves on topological spaces, to Hodge theory, and to the theory of modules over rings of algebraic differential operators (algebraic D-modules). The authors Gelfand and Manin explain all the main ideas of the theory of derived categories. Both authors are well-known researchers and the second, Manin, is famous for his work in algebraic geometry and mathematical physics. The book is an excellent reference for graduate students and researchers in mathematics and also for physicists who use methods from algebraic geometry and algebraic topology.

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Page Count

240

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3540533737

ISBN 13

9783540533733

Sequences, Combinations, Limits

By: S. I. Gelfand

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Sequences, Combinations, Limits

By: S. I. Gelfand

Focusing on theory more than computations, this 3-part text covers sequences, definitions, and methods of induction; combinations; and limits, with introductory problems, definition-related problems, and problems related to computation limits. Answers and hints to the test problems are provided; "road signs" mark passages requiring particular attention. 1969 edition.

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Page Count

164

Publisher

Courier Corporation

Published Date

ISBN 10

0486425665

ISBN 13

9780486425665

Direct Methods of Solving Multidimensional Inverse Hyperbolic Problems

By: S. I. Kabanikhin,Abdigany D. Satybaev,Maxim A. Shishlenin

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Direct Methods of Solving Multidimensional Inverse Hyperbolic Problems

By: S. I. Kabanikhin,Abdigany D. Satybaev,Maxim A. Shishlenin

The authors consider dynamic types of inverse problems in which the additional information is given by the trace of the direct problem on a (usually time-like) surface of the domain. They discuss theoretical and numerical background of the finite-difference scheme inversion, the linearization method, the method of Gel'fand-Levitan-Krein, the boundary control method, and the projection methodand prove theorems of convergence, conditional stability, and other properties of the mentioned methods.

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Page Count

196

Publisher

Walter de Gruyter

Published Date

ISBN 10

9067644161

ISBN 13

9789067644167

An Innovation Approach to Random Fields

Application of White Noise Theory

By: Takeyuki Hida,Si Si

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An Innovation Approach to Random Fields

Application of White Noise Theory

By: Takeyuki Hida,Si Si

A random field is a mathematical model of evolutional fluctuatingcomplex systems parametrized by a multi-dimensional manifold like acurve or a surface. As the parameter varies, the random field carriesmuch information and hence it has complex stochastic structure.The authors of this book use an approach that is characteristic: namely, they first construct innovation, which is the most elementalstochastic process with a basic and simple way of dependence, and thenexpress the given field as a function of the innovation. Theytherefore establish an infinite-dimensional stochastic calculus, inparticular a stochastic variational calculus. The analysis offunctions of the innovation is essentially infinite-dimensional. Theauthors use not only the theory of functional analysis, but also theirnew tools for the study

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Page Count

216

Publisher

World Scientific

Published Date

ISBN 10

9812565388

ISBN 13

9789812565389

Inverse Problems for Maxwell's Equations

By: V. G. Romanov,S. I. Kabanikhin

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Inverse Problems for Maxwell's Equations

By: V. G. Romanov,S. I. Kabanikhin

The Inverse and Ill-Posed Problems Series is a series of monographs publishing postgraduate level information on inverse and ill-posed problems for an international readership of professional scientists and researchers. The series aims to publish works which involve both theory and applications in, e.g., physics, medicine, geophysics, acoustics, electrodynamics, tomography, and ecology.

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Page Count

260

Publisher

Walter de Gruyter GmbH & Co KG

Published Date

ISBN 10

3110900106

ISBN 13

9783110900101

Recombination Variability and Evolution

Algorithms of estimation and population-genetic models

By: A.B. Korol,S.I. Preigel

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Recombination Variability and Evolution

Algorithms of estimation and population-genetic models

By: A.B. Korol,S.I. Preigel

Using an interdisciplinary approach, the authors provide an adaptionist interpretation of the basic features of recombination, its evolutionary significance as a key process in reproduction and its importance in genetic mapping. The book synthesizes much recent information in the fields of evloutionary genetics of recombination, the analysis of genetic markers and breeding applications. The authors analyse recombination through a consideration of computer models, large Drosophila populations and an empirical approach to current theories. Practically-orientated readers will be interested in the discussion of a wide spectrum of mapping methods and the new algorithms proposed for genetic mapping of quantitative loci.

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Page Count

384

Publisher

Springer Science & Business Media

Published Date

ISBN 10

0412494108

ISBN 13

9780412494109

Identification Problems of Wave Phenomena

Theory and Numerics

By: A. Lorenzi,S. I. Kabanikhin

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Identification Problems of Wave Phenomena

Theory and Numerics

By: A. Lorenzi,S. I. Kabanikhin

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Page Count

352

Publisher

Walter de Gruyter GmbH & Co KG

Published Date

ISBN 10

3110943298

ISBN 13

9783110943290

Conflict Resolution

An Introduction to Third Party Intervention

By: S. I. Keethaponcalan

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Conflict Resolution

An Introduction to Third Party Intervention

By: S. I. Keethaponcalan

This book introduces the subject of third party intervention, one of the core subject matters of the fields of conflict resolution and peace studies. It provides a comprehensive introduction to the dimensions, issues, and methods of third party intervention, and approaches the subject from an interdisciplinary perspective. It delves into third party definitions, typologies, actors, rationale, motives, decision dimensions, and roles. This book provides in-depth analysis of such third party methods as mediation, arbitration, hybrid procedures, problem solving workshops, and peacekeeping, uniquely bringing all major topics of third party intervention into one text. The last two chapters deal with timing of intervention and ripe moments, and ethics. Students of conflict resolution and peace studies will benefit from this book.

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Page Count

247

Publisher

Lexington Books

Published Date

ISBN 10

1498553397

ISBN 13

9781498553391

Data-Driven Remaining Useful Life Prognosis Techniques

Stochastic Models, Methods and Applications

By: Xiao-Sheng Si,Zheng-Xin Zhang,Chang-Hua Hu

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Data-Driven Remaining Useful Life Prognosis Techniques

Stochastic Models, Methods and Applications

By: Xiao-Sheng Si,Zheng-Xin Zhang,Chang-Hua Hu

This book introduces data-driven remaining useful life prognosis techniques, and shows how to utilize the condition monitoring data to predict the remaining useful life of stochastic degrading systems and to schedule maintenance and logistics plans. It is also the first book that describes the basic data-driven remaining useful life prognosis theory systematically and in detail. The emphasis of the book is on the stochastic models, methods and applications employed in remaining useful life prognosis. It includes a wealth of degradation monitoring experiment data, practical prognosis methods for remaining useful life in various cases, and a series of applications incorporated into prognostic information in decision-making, such as maintenance-related decisions and ordering spare parts. It also highlights the latest advances in data-driven remaining useful life prognosis techniques, especially in the contexts of adaptive prognosis for linear stochastic degrading systems, nonlinear degradation modeling based prognosis, residual storage life prognosis, and prognostic information-based decision-making.

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Page Count

436

Publisher

Springer

Published Date

ISBN 10

3662540304

ISBN 13

9783662540305

Homological Algebra

By: S.I. Gelfand,Yu.I. Manin

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Homological Algebra

By: S.I. Gelfand,Yu.I. Manin

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Page Count

229

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3642579116

ISBN 13

9783642579110

Sequences, Combinations, Limits

By: S. I. Gelfand

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Sequences, Combinations, Limits

By: S. I. Gelfand

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Page Count

164

Publisher

Courier Corporation

Published Date

ISBN 10

0486425665

ISBN 13

9780486425665

Book's by S.I. Gelfand

Homological Algebra

Homological Algebra

Sequences, Combinations, Limits

Sequences, Combinations, Limits

Direct Methods of Solving Multidimensional Inverse Hyperbolic Problems

Direct Methods of Solving Multidimensional Inverse Hyperbolic Problems

An Innovation Approach to Random Fields

An Innovation Approach to Random Fields

Inverse Problems for Maxwell's Equations

Inverse Problems for Maxwell's Equations

Recombination Variability and Evolution

Recombination Variability and Evolution

Identification Problems of Wave Phenomena

Identification Problems of Wave Phenomena

Conflict Resolution

Conflict Resolution

Data-Driven Remaining Useful Life Prognosis Techniques

Data-Driven Remaining Useful Life Prognosis Techniques

Homological Algebra

Homological Algebra

Sequences, Combinations, Limits

Sequences, Combinations, Limits

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