WorldCat Identities

Паршин, А. Н

Overview
Works: 84 works in 314 publications in 4 languages and 3,304 library holdings
Genres: Conference papers and proceedings  Biography  Records and correspondence  Sources  History 
Roles: Editor, Author, Redactor, Other, Translator, Interviewee
Classifications: QA3, 512
Publication Timeline
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Most widely held works by А. Н Паршин
Algebraic geometry IV : linear algebraic groups, invariant theory by V. S Kulikov( Book )

49 editions published between 1994 and 2010 in English and German and held by 627 WorldCat member libraries worldwide

Dealing with the subject of complex algebraic geometry, this work offers a succinct summary of the areas it covers, while providing coverage of certain important fields. It presents an introduction to the work on the interactions between the classical area of the geometry of complex algebraic curves and their Jacobian varieties
Number theory II : algebraic number theory by Helmut Koch( Book )

27 editions published between 1991 and 1992 in 3 languages and held by 370 WorldCat member libraries worldwide

From the reviews of the first printing, published as Volume 62 of the Encyclopaedia of Mathematical Sciences: " ... The author succeeded in an excellent way to describe the various points of view under which Class Field Theory can be seen. ... In any case the author succeeded to write a very readable book on these difficult themes." Monatshefte fuer Mathematik, 1994 " ... Koch's book is written mostly for non-specialists. It is an up-to-date account of the subject dealing with mostly general questions. Special results appear only as illustrating examples for the general features of the theory. It is supposed that the reader has good general background in the fields of modern (abstract) algebra and elementary number theory. We recommend this volume mainly to graduate studens and research mathematicians." Acta Scientiarum Mathematicarum, 1993
Algebra VII : combinatorial group theory, applications to geometry by A. N Parshin( Book )

17 editions published between 1991 and 1993 in 3 languages and held by 328 WorldCat member libraries worldwide

From the reviews of the first printing of this book, published as volume 58 of the Encyclopaedia of Mathematical Sciences: " ... This book will be very useful as a reference and guide to researchers and graduate students in algebra and and topology." Acta Scientiarum Mathematicarum, Ungarn, 1994 " ... The book under review consists of two monographs on geometric aspects of group theory: Combinatorial group theory and fundamental groups" by D.J. Collins and H. Zieschang ... : "Some problems of group theory related to geometry" by R.I. Grigorchuk and P.F. Kurchanov. ... Together, these two articles form a wide-ranging survey of combinatorial group theory, with emphasis very much on the geometric roots of the subject. This will be a useful reference work for the expert, as well as providing an overview of the subject for the outsider or novice. Many different topics are described and explored, with the main results presented but not proved. This allows the interested reader to get the flavour of these topics without becoming bogged down in detail. Both articles give comprehensive bibliographies, so that it is possible to use this book as the starting point for a more detailed study of a particular topic of interest. ... In summary, a very interesting book! Bulletin of the London Mathematical Society, 1996 " ... In both essays the authors give clear and comprehensive definitions, examples and statements (but not proofs) of theorems, so that the book can be understood by a reader with a minimal background in group theory or geometry. Such a reader, needing to find out what is known in this area, will find this a full and accessible store of information." Contemporary Physics, 1994 " ... This survey (Part II) presents for the first time that problems in monograph form and by the way offers a unifying treatment of the various approaches to their solutions, as far as they are known, together with hints to open problems. A titbit for every interested reader!" Monatshefte für Mathematik, 1995
Number theory IV : transcendental numbers by I. R Shafarevich( Book )

25 editions published between 1992 and 2011 in English and Italian and held by 312 WorldCat member libraries worldwide

This book is a survey of the most important directions of research in transcendental number theory. The central topics in this theory include proofs of irrationality and transcendence of various numbers, especially those that arise as the values of special functions. Questions of this sort go back to ancient times. An example is the old problem of squaring the circle, which Lindemann showed to be impossible in 1882, when he proved that $Öpi$ is a transcendental number. Euler's conjecture that the logarithm of an algebraic number to an algebraic base is transcendental was included in Hilbert's famous list of open problems; this conjecture was proved by Gel'fond and Schneider in 1934. A more recent result was ApÖ'ery's surprising proof of the irrationality of $Özeta(3)$ in 1979. The quantitative aspects of the theory have important applications to the study of Diophantine equations and other areas of number theory. For a reader interested in different branches of number theory, this monograph provides both an overview of the central ideas and techniques of transcendental number theory, and also a guide to the most important results
Number theory I : fundamental problems, ideas and theories by I︠U︡. I Manin( Book )

28 editions published between 1991 and 1995 in English and Undetermined and held by 299 WorldCat member libraries worldwide

This book 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 (including some modern areas such as cryptography, factorization and primality testing), the central ideas of modern theories are exposed: algebraic number theory, calculations and properties of Galois groups, non-Abelian generalizations of class field theory, recursive computability and links with Diophantine equations, the arithmetic of algebraic varieties, connections with modular forms, zeta- and L-functions. The authors have tried to present the most significant results and methods of modern time. An overview of the major conjectures is also given in order to illustrate current thinking in number theory. Most of these conjectures are based on analogies between functions and numbers, and on connections with other branches of mathematics such as algebraic topology, analysis, representation theory and geometry
Algebraic geometry V : fano varieties by Vasilij Alekseevič Iskovskih( Book )

12 editions published between 1998 and 2010 in English and held by 256 WorldCat member libraries worldwide

Algebraic number theory and algebraic geometry : papers dedicated to A.N. Parshin on the occasion of his sixtieth birthday( Book )

7 editions published in 2002 in English and held by 205 WorldCat member libraries worldwide

Algebra I : basic notions of algebra by I. R Shafarevich( Book )

3 editions published in 1990 in English and held by 110 WorldCat member libraries worldwide

From the reviews: "This is one of the few mathematical books, the reviewer has read from cover to cover ... The main merit is that nearly on every page you will find some unexpected insights..." Zentralblatt für Mathematik und Ihre Grenzgebiete, 1991 "...which I read like a novel and undoubtedly will become a classic. ... A merit of the book under review is that it contains several important articles from journals which are not all so easily accessible. ... Furthermore, at the end of the book, there are some Notes by the author which are indispensible for the necessary historical background information. ... This valuable book should be on the shelf of every algebraist and algebraic geometer." Nieuw Archief voor Wiskunde, 1992 "... There are few proofs in full, but there is an exhilarating combination of sureness of foot and lightness of touch in the exposition ... which transports the reader effortlessly across the whole spectrum of algebra.... The challenge to Ezekiel, "Can these bones live?" is, all too often, the reaction of students when introduced to the bare bones of the concepts and constructs of modern algebra. Shafarevich's book - which reads as comfortably as an extended essay - breathes life into the skeleton and will be of interest to many classes of readers..." The Mathematical Gazette, 1991 "... According to the preface, the book is addressed to "students of mathematics in the first years of an undergraduate course, or theoretical physicists or mathematicians from outside algebra wanting to get an impression of the spirit of algebra and its place in mathematics." I think that this promise is fully justified. The beginner, the experts and also the interested scientist who had contact with algebraic notions - all will read this exceptional book with great pleasure and benefit." Zeitschrift für Kristallographie, 1991
Algebra and analysis : proceedings of the International Centennial Chebotarev Conference held in Kazan, Russia, June 5-11, 1994 by Russie) International Centennial Cheborarev Conference$ (1994 : Kazan'( Book )

7 editions published between 1996 and 2016 in English and held by 74 WorldCat member libraries worldwide

Algebraic geometry I : algebraic curves, algebraic manifolds and schemes by V. I Danilov( Book )

8 editions published between 1994 and 2007 in English and held by 73 WorldCat member libraries worldwide

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
Algebra VI : combinatorial and asymptotic methods of algebra : non-associative structures by A. I Kostrikin( Book )

2 editions published between 1990 and 1995 in English and held by 58 WorldCat member libraries worldwide

"This book contains two contributions: "Combinatorial and Asymptotic Methods in Algebra" by V. A. Ufnarovskij is a survey of various combinatorial methods in infinite-dimensional algebras, widely interpreted to contain homological algebra and vigorously developing computer algebra, and narrowly interpreted as the study of algebraic objects defined by generators and their relations. The author shows how objects like words, graphs and automata provide valuable information in asymptotic studies. The main methods emply the notions of Grobner bases, generating functions, growth and those of homological algebra. Treated are also problems of relationships between different series, such as Hilbert, Poincare and Poincare-Betti series. Hyperbolic and quantum groups are also discussed. The reader does not need much of background material for he can find definitions and simple properties of the defined notions introduced along the way." ""Non-Associative Structures" by E. N. Kuz'min and I. P. Shestakov surveys the modern state of the theory of non-associative structures that are nearly associative. Jordan, alternative, Malcev, and quasigroup algebras are discussed as well as applications of these structures in various areas of mathematics and primarily their relationship with the associative algebras. Quasigroups and loops are treated too. The survey is self-contained and complete with references to proofs in the literature." "The book will be of great interest to graduate students and researchers in mathematics, computer science and theoretical physics."--BOOK JACKET
Algebra. : Finite-dimensional division algebras( Book )

1 edition published in 1996 in English and held by 37 WorldCat member libraries worldwide

Pavel Aleksandrovich Florenskiĭ( Book )

2 editions published in 2013 in Russian and held by 25 WorldCat member libraries worldwide

Seminar Russkai︠a︡ filosofii︠a︡: tradit︠s︡ii︠a︡ i sovremennostʹ : 2004-2009 by A. N Parshin( Book )

3 editions published between 2011 and 2012 in Russian and held by 24 WorldCat member libraries worldwide

Number theory by Z. I Borevich( Book )

7 editions published between 1992 and 1995 in English and held by 23 WorldCat member libraries worldwide

Algebraic geometry II : cohomology of algebraic varieties, algebraic surfaces( Book )

5 editions published between 1994 and 1996 in English and held by 16 WorldCat member libraries worldwide

This EMS volume consists of two parts. The first part is devoted to the exposition of the cohomology theory of algebraic varieties. The second part deals with algebraic surfaces. The authors, who are well-known experts in the field, have taken pains to present the material rigorously and coherently. The book contains numerous examples and insights on various topics. This book will be immensely useful to mathematicians and graduate students working in algebraic geometry, arithmetic algebraic geometry, complex analysis and related fields
Number theory III : diophantine geometry by Serge Lang( Book )

8 editions published between 1991 and 1992 in English and Undetermined and held by 14 WorldCat member libraries worldwide

From the reviews of the first printing of this book, published as Volume 60 of the Encyclopaedia of Mathematical Sciences: "Between number theory and geometry there have been several stimulating influences, and this book records of these enterprises. This author, who has been at the centre of such research for many years, is one of the best guides a reader can hope for. The book is full of beautiful results, open questions, stimulating conjectures and suggestions where to look for future developments. This volume bears witness of the broad scope of knowledge of the author, and the influence of several people who have commented on the manuscript before publication ... Although in the series of number theory, this volume is on diophantine geometry, and the reader will notice that algebraic geometry is present in every chapter. ... The style of the book is clear. Ideas are well explained, and the author helps the reader to pass by several technicalities. Reading and rereading this book I noticed that the topics are treated in a nice, coherent way, however not in a historically logical order. ... The author writes "At the moment of writing, the situation is in flux ... ". That is clear from the scope of this book. In the area described many conjectures, important results, new developments took place in the last 30 years. And still new results come at a breathtaking speed in this rich field. In the introduction the author notices: "I have included several connections of diophantine geometry with other parts of mathematics, such as PDE and Laplacians, complex analysis, and differential geometry. A grand unification is going on, with multiple connections between these fields." Such a unification becomes clear in this beautiful book, which we recommend for mathematicians of all disciplines." Medelingen van het wiskundig genootschap, 1994 " ... It is fascinating to see how geometry, arithmetic and complex analysis grow together! ..." Monatshefte fr Mathematik, 1993
Transcendental numbers( Book )

3 editions published between 1997 and 1998 in English and held by 12 WorldCat member libraries worldwide

Linear algebraic groups, invariant theory( Book )

3 editions published in 1994 in English and German and held by 11 WorldCat member libraries worldwide

 
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Algebraic geometry IV : linear algebraic groups, invariant theoryLinear algebraic groups, invariant theory
Alternative Names
Aleksej Nikolaevič Paršin

Aleksej Nikolaevič Paršin matemático ruso

Alexei Nikolaevich Parshin mathématicien russe

Alexei Nikolaevich Parshin Russian mathematician

Alexei Nikolajewitsch Parschin mathématicien russe

Alexei Nikolajewitsch Parschin Russisch wiskundige

Alexei Nikolajewitsch Parschin russischer Mathematiker

Parschin, Alexei Nikolajewitsch 1942-

Parshin, A. N.

Parshin, A.N. 1942-

Parshin, Alekseĭ Nikolaevich

Parshin, Aleksey Nikolaevich

Parshin, Aleksey Nikolaevich 1942-

Parshin, Alexei N.

Parshin, Alexei Nikolaevich

Paršin, A. N.

Paršin, A. N. 1942-

Paršin, Aleksej N. 1942-

Pars̆in, Alexej Nikolaevic̆

Паршин, Алексей Николаевич 1942-...

Languages
English (203)

Russian (7)

Italian (3)

German (2)

Covers
Algebra VII : combinatorial group theory, applications to geometryNumber theory IV : transcendental numbersAlgebraic geometry V : fano varietiesAlgebraic number theory and algebraic geometry : papers dedicated to A.N. Parshin on the occasion of his sixtieth birthdayAlgebra I : basic notions of algebraAlgebra and analysis : proceedings of the International Centennial Chebotarev Conference held in Kazan, Russia, June 5-11, 1994Algebraic geometry I : algebraic curves, algebraic manifolds and schemesAlgebra VI : combinatorial and asymptotic methods of algebra : non-associative structures