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Several Complex Variables III

Several Complex Variables III Author G.M. Khenkin
ISBN-10 9783642613081
Release 2012-12-06
Pages 261
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We consider the basic problems, notions and facts in the theory of entire functions of several variables, i. e. functions J(z) holomorphic in the entire n space 1 the zero set of an entire function is not discrete and therefore one has no analogue of a tool such as the canonical Weierstrass product, which is fundamental in the case n = 1. Second, for n> 1 there exist several different natural ways of exhausting the space



Several Complex Variables II

Several Complex Variables II Author G.M. Khenkin
ISBN-10 9783642578823
Release 2012-12-06
Pages 262
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Plurisubharmonic functions playa major role in the theory of functions of several complex variables. The extensiveness of plurisubharmonic functions, the simplicity of their definition together with the richness of their properties and. most importantly, their close connection with holomorphic functions have assured plurisubharmonic functions a lasting place in multidimensional complex analysis. (Pluri)subharmonic functions first made their appearance in the works of Hartogs at the beginning of the century. They figure in an essential way, for example, in the proof of the famous theorem of Hartogs (1906) on joint holomorphicity. Defined at first on the complex plane IC, the class of subharmonic functions became thereafter one of the most fundamental tools in the investigation of analytic functions of one or several variables. The theory of subharmonic functions was developed and generalized in various directions: subharmonic functions in Euclidean space IRn, plurisubharmonic functions in complex space en and others. Subharmonic functions and the foundations ofthe associated classical poten tial theory are sufficiently well exposed in the literature, and so we introduce here only a few fundamental results which we require. More detailed expositions can be found in the monographs of Privalov (1937), Brelot (1961), and Landkof (1966). See also Brelot (1972), where a history of the development of the theory of subharmonic functions is given.



Several Complex Variables IV

Several Complex Variables IV Author Semen Gindikin
ISBN-10 9783642612633
Release 2012-12-06
Pages 251
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This volume of the EMS contains four survey articles on analytic spaces. They are excellent introductions to each respective area. Starting from basic principles in several complex variables each article stretches out to current trends in research. Graduate students and researchers will find a useful addition in the extensive bibliography at the end of each article.



Algebraic Geometry II

Algebraic Geometry II Author I.R. Shafarevich
ISBN-10 9783642609251
Release 2013-11-22
Pages 264
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This two-part volume contains numerous examples and insights on various topics. The authors have taken pains to present the material rigorously and coherently. This book will be immensely useful to mathematicians and graduate students working in algebraic geometry, arithmetic algebraic geometry, complex analysis and related fields.



Several Complex Variables VII

Several Complex Variables VII Author H. Grauert
ISBN-10 9783662098738
Release 2013-03-09
Pages 372
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The first survey of its kind, written by internationally known, outstanding experts who developed substantial parts of the field. The book contains an introduction written by Remmert, describing the history of the subject, and is very useful to graduate students and researchers in complex analysis, algebraic geometry and differential geometry.



Geometric Function Theory in Several Complex Variables

Geometric Function Theory in Several Complex Variables Author Junjirō Noguchi
ISBN-10 0821845330
Release 1990
Pages 282
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This is an expanded English-language version of a book by the same authors that originally appeared in the Japanese. The book serves two purposes. The first is to provide a self-contained and coherent account of recent developments in geometric function theory in several complex variables, aimed at those who have already mastered the basics of complex function theory and the elementary theory of differential and complex manifolds. The second goal is to present, in a self-contained way, fundamental descriptions of the theory of positive currents, plurisubharmonic functions, and meromorphic mappings, which are today indispensable in the analytic and geometric theories of complex functions of several variables. The book should prove useful for researchers and graduate students alike.



Several complex variables VI

Several complex variables VI Author Reinhold Remmert
ISBN-10 3540527885
Release 1990
Pages 310
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The articles in this volume were written to commemorate Reinhold Remmert's 60th birthday in June, 1990. They are surveys, meant to facilitate access to some of the many aspects of the theory of complex manifolds, and demonstrate the interplay between complex analysis and many other branches of mathematics, algebraic geometry, differential topology, representations of Lie groups, and mathematical physics being only the most obvious of these branches. Each of these articles should serve not only to describe the particular circle of ideas in complex analysis with which it deals but also as a guide to the many mathematical ideas related to its theme. Some of the topics dealt with are the following: recent developments in the theory of proper holomorphic maps; the enormous influence and power of Hodge structures (and families of such structures); the mutual influence of complex analysis and representation theory in the study of (almost) homogeneous complex manifolds; the influence of ideas from mathematical physics (via the Yang-Mills equation and stable vector bundles) on the study of the topology of complex algebraic surfaces; the fruitfulness of studying spaces of compact Riemann surfaces and of compact Kähler manifolds from the point of view of the curvature of theses spaces. Thus, the present volume should provide some idea of the richness of the theory of complex manifolds.



Several complex variables V

Several complex variables V Author G. M. Khenkin
ISBN-10 CORNELL:31924068801343
Release 1993
Pages 286
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Several complex variables V has been writing in one form or another for most of life. You can find so many inspiration from Several complex variables V also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Several complex variables V book for free.



Analysis III

Analysis III Author S. M. Nikol'skij
ISBN-10 0387518665
Release 1991-03
Pages 221
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Analysis III has been writing in one form or another for most of life. You can find so many inspiration from Analysis III also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Analysis III book for free.



Dynamical systems

Dynamical systems Author D. V. Anosov
ISBN-10 3540533761
Release 1993
Pages
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Dynamical systems has been writing in one form or another for most of life. You can find so many inspiration from Dynamical systems also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Dynamical systems book for free.



Analysis II

Analysis II Author R. V. Gamkrelidze
ISBN-10 UOM:39015018330376
Release 1990
Pages 255
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Analysis II has been writing in one form or another for most of life. You can find so many inspiration from Analysis II also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Analysis II book for free.



Analysis III

Analysis III Author Sergei M. Nikol'skii
ISBN-10 3540518665
Release 1991-01-09
Pages 221
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In the Part at hand the authors undertake to give a presentation of the historical development of the theory of imbedding of function spaces, of the internal as well as the externals motives which have stimulated it, and of the current state of art in the field, in particular, what regards the methods employed today. The impossibility to cover all the enormous material connected with these questions inevitably forced on us the necessity to restrict ourselves to a limited circle of ideas which are both fundamental and of principal interest. Of course, such a choice had to some extent have a subjective character, being in the first place dictated by the personal interests of the authors. Thus, the Part does not constitute a survey of all contemporary questions in the theory of imbedding of function spaces. Therefore also the bibliographical references given do not pretend to be exhaustive; we only list works mentioned in the text, and a more complete bibliography can be found in appropriate other monographs. O.V. Besov, v.1. Burenkov, P.1. Lizorkin and V.G. Maz'ya have graciously read the Part in manuscript form. All their critical remarks, for which the authors hereby express their sincere thanks, were taken account of in the final editing of the manuscript.



Functional Analysis I

Functional Analysis I Author Yu.I. Lyubich
ISBN-10 3540505849
Release 1992-02-06
Pages 286
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The twentieth-century view of the analysis of functions is dominated by the study of classes of functions. This volume of the Encyclopaedia covers the origins, development and applications of linear functional analysis, explaining along the way how one is led naturally to the modern approach.



Algebraic Geometry I

Algebraic Geometry I Author Igorʹ Rostislavovich Shafarevich
ISBN-10 UOM:39015032950985
Release 1994
Pages 307
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This book is a very readable introduction to algebraic geometry and will be immensely useful to mathematicians working in algebraic geometry and complex analysis and especially to graduate students in these fields.



Partial Differential Equations II

Partial Differential Equations II Author I͡Uriĭ Vladimirovich Egorov
ISBN-10 UOM:39015033961205
Release 1994
Pages 263
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Partial Differential Equations II has been writing in one form or another for most of life. You can find so many inspiration from Partial Differential Equations II also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Partial Differential Equations II book for free.



Symplectic Geometry and Its Applications

Symplectic Geometry and Its Applications Author Vladimir I. Arnol'd
ISBN-10 UVA:X002404433
Release 1990
Pages 283
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Symplectic Geometry and Its Applications has been writing in one form or another for most of life. You can find so many inspiration from Symplectic Geometry and Its Applications also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Symplectic Geometry and Its Applications book for free.



Algebra II

Algebra II Author Alekseĭ Ivanovich Kostrikin
ISBN-10 3540181776
Release 1991
Pages 234
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This book is wholeheartedly recommended to every student or user of mathematics. Although the author modestly describes his book as 'merely an attempt to talk about' algebra, he succeeds in writing an extremely original and highly informative essay on algebra and its place in modern mathematics and science. From the fields, commutative rings and groups studied in every university math course, through Lie groups and algebras to cohomology and category theory, the author shows how the origins of each algebraic concept can be related to attempts to model phenomena in physics or in other branches of mathematics. Comparable in style with Hermann Weyl's evergreen essay The Classical Groups, Shafarevich's new book is sure to become required reading for mathematicians, from beginners to experts.