Parshin, A. N.
Overview
Works:  136 works in 377 publications in 4 languages and 4,478 library holdings 

Genres:  Conference papers and proceedings Biographies 
Roles:  Editor, Author, Collector, Dedicatee, Other, Contributor, htt, Redactor, Interviewee, Commentator, Translator 
Classifications:  QA247, 512.2 
Publication Timeline
.
Most widely held works by
A. N Parshin
Algebra and analysis : proceedings of the International Centennial Chebotarev Conference held in Kazan, Russia, June 511,
1994 by
M. M Arslanov(
)
14 editions published between 1996 and 2016 in English and held by 863 WorldCat member libraries worldwide
The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide uptodate coverage of new developments, methods and applications
14 editions published between 1996 and 2016 in English and held by 863 WorldCat member libraries worldwide
The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide uptodate coverage of new developments, methods and applications
Algebraic geometry IV : linear algebraic groups, invariant theory by
A. N Parshin(
Book
)
26 editions published between 1994 and 2010 in 3 languages and held by 433 WorldCat member libraries worldwide
This volume of the Encyclopaedia contains two contributions on closely related subjects: the theory of linear algebraic groups and invariant theory. The first part is written by T.A. Springer, a wellknown expert in the first mentioned field. He presents a comprehensive survey, which contains numerous sketched proofs and he discusses the particular features of algebraic groups over special fields (finite, local, and global). The authors of part two, E.B. Vinberg and V.L. Popov, are among the most active researchers in invariant theory. The last 20 years have been a period of vigorous development in this field due to the influence of modern methods from algebraic geometry. The book will be very useful as a reference and research guide to graduate students and researchers in mathematics and theoretical physics
26 editions published between 1994 and 2010 in 3 languages and held by 433 WorldCat member libraries worldwide
This volume of the Encyclopaedia contains two contributions on closely related subjects: the theory of linear algebraic groups and invariant theory. The first part is written by T.A. Springer, a wellknown expert in the first mentioned field. He presents a comprehensive survey, which contains numerous sketched proofs and he discusses the particular features of algebraic groups over special fields (finite, local, and global). The authors of part two, E.B. Vinberg and V.L. Popov, are among the most active researchers in invariant theory. The last 20 years have been a period of vigorous development in this field due to the influence of modern methods from algebraic geometry. The book will be very useful as a reference and research guide to graduate students and researchers in mathematics and theoretical physics
Algebra VII : combinatorial group theory, applications to geometry by
A. N Parshin(
Book
)
13 editions published between 1991 and 1993 in English and held by 343 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 wideranging 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
13 editions published between 1991 and 1993 in English and held by 343 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 wideranging 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
Algebraic geometry III : complex algebraic varieties, algebraic curves and their Jacobians by
V. S Kulikov(
Book
)
22 editions published between 1994 and 2010 in English and held by 334 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
22 editions published between 1994 and 2010 in English and held by 334 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(
Book
)
17 editions published between 1991 and 1992 in English and Undetermined and held by 308 WorldCat member libraries worldwide
Volume 62 of the Encyclopedia presents the main structures and results of algebraic number theory with emphasis on algebraic number fields and class field theory. Written for the nonspecialist, the author assumes a general understanding of modern algebra and elementary number theory. Only the general properties of algebraic number fields and relate
17 editions published between 1991 and 1992 in English and Undetermined and held by 308 WorldCat member libraries worldwide
Volume 62 of the Encyclopedia presents the main structures and results of algebraic number theory with emphasis on algebraic number fields and class field theory. Written for the nonspecialist, the author assumes a general understanding of modern algebra and elementary number theory. Only the general properties of algebraic number fields and relate
Number theory I : fundamental problems, ideas and theories by
I︠U︡. I Manin(
Book
)
19 editions published between 1992 and 1995 in English and held by 289 WorldCat member libraries worldwide
This text 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
19 editions published between 1992 and 1995 in English and held by 289 WorldCat member libraries worldwide
This text 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
Number theory IV : transcendental numbers by
I. R Shafarevich(
Book
)
13 editions published between 1997 and 2011 in English and held by 288 WorldCat member libraries worldwide
The book treats an important special subject in number theory. It is appropriate for graduate students and researchers in number theory and other mathematicians who are looking for a reference on transcendental number theory
13 editions published between 1997 and 2011 in English and held by 288 WorldCat member libraries worldwide
The book treats an important special subject in number theory. It is appropriate for graduate students and researchers in number theory and other mathematicians who are looking for a reference on transcendental number theory
Algebraic geometry V : fano varieties by
Vasilij Alekseevič Iskovskih(
Book
)
21 editions published between 1994 and 2010 in English and held by 287 WorldCat member libraries worldwide
The aim of this book is to provide an exposition of the structure theory of Fano varieties, that is, algebraic varieties with an ample anticanonical divisor. The authors discuss uniruledness and rational connectedness as well as progress in rationality problems of Fano varieties
21 editions published between 1994 and 2010 in English and held by 287 WorldCat member libraries worldwide
The aim of this book is to provide an exposition of the structure theory of Fano varieties, that is, algebraic varieties with an ample anticanonical divisor. The authors discuss uniruledness and rational connectedness as well as progress in rationality problems of Fano varieties
Algebraic number theory and algebraic geometry : papers dedicated to A.N. Parshin on the occasion of his sixtieth birthday(
Book
)
10 editions published between 2002 and 2012 in English and held by 268 WorldCat member libraries worldwide
10 editions published between 2002 and 2012 in English and held by 268 WorldCat member libraries worldwide
Number theory by
N. I Felʹdman(
Book
)
11 editions published in 1998 in English and held by 98 WorldCat member libraries worldwide
11 editions published in 1998 in English and held by 98 WorldCat member libraries worldwide
Number theory(
Book
)
1 edition published in 1995 in German and held by 76 WorldCat member libraries worldwide
1 edition published in 1995 in German and held by 76 WorldCat member libraries worldwide
Algebra VI : combinatorial and asymptotic methods of algebra : nonassociative structures(
Book
)
1 edition published in 1995 in English and held by 70 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 infinitedimensional 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 PoincareBetti 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." ""NonAssociative Structures" by E. N. Kuz'min and I. P. Shestakov surveys the modern state of the theory of nonassociative 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 selfcontained 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
1 edition published in 1995 in English and held by 70 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 infinitedimensional 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 PoincareBetti 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." ""NonAssociative Structures" by E. N. Kuz'min and I. P. Shestakov surveys the modern state of the theory of nonassociative 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 selfcontained 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
Number Theory I : Fundamental Problems, Ideas and Theories by
A. N Parshin(
)
1 edition published in 1995 in English and held by 66 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, nonAbelian generalizations of class field theory, recursive computability and links with Diophantine equations, the arithmetic of algebraic varieties, connections with modular forms, zeta and Lfunctions. 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
1 edition published in 1995 in English and held by 66 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, nonAbelian generalizations of class field theory, recursive computability and links with Diophantine equations, the arithmetic of algebraic varieties, connections with modular forms, zeta and Lfunctions. 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(
Book
)
3 editions published between 1998 and 2009 in English and held by 63 WorldCat member libraries worldwide
3 editions published between 1998 and 2009 in English and held by 63 WorldCat member libraries worldwide
Algebra by
A. I Kostrikin(
Book
)
1 edition published in 1990 in English and held by 60 WorldCat member libraries worldwide
1 edition published in 1990 in English and held by 60 WorldCat member libraries worldwide
Algebra. : Finitedimensional division algebras(
Book
)
1 edition published in 1996 in English and held by 51 WorldCat member libraries worldwide
1 edition published in 1996 in English and held by 51 WorldCat member libraries worldwide
Number theory(
Book
)
9 editions published in 1992 in English and Italian and held by 45 WorldCat member libraries worldwide
9 editions published in 1992 in English and Italian and held by 45 WorldCat member libraries worldwide
Algebraic number theory by Helmut Koch(
Book
)
3 editions published in 1992 in English and held by 41 WorldCat member libraries worldwide
3 editions published in 1992 in English and held by 41 WorldCat member libraries worldwide
Pavel Aleksandrovich Florenskiĭ(
Book
)
3 editions published in 2013 in Russian and held by 27 WorldCat member libraries worldwide
3 editions published in 2013 in Russian and held by 27 WorldCat member libraries worldwide
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Audience Level
0 

1  
Kids  General  Special 
Related Identities
 Шафаревич, И. Р (Игорь Ростиславович) 1923 Other Honoree Author Editor Collector
 Arslanov, M. M. Other Author Editor
 Kostrikin, Aleksej I. Author Editor
 Vostokov, S. V. Other Editor
 Zarhin, Yuri 1951 Other Editor
 Манин, Ю. И Author
 Панчишкин, А. А (Алексей Алексеевич)
 Gamkrelidze, Revaz V.
 Shokurov, V. V.
 Kulikov, Viktor S. Author
Useful Links
Associated Subjects
Algebra Algebra, Homological Algebraic number theory Algebraic topology Algebraic varieties Combinatorial analysis Combinatorial group theory Curves, Algebraic Data encryption (Computer science) Diophantine analysis Florenskiĭ, P. A.(Pavel Aleksandrovich), Geometric group theory Geometry, Algebraic Global analysis (Mathematics) Group theory Hodge theory Invariants Jacobians Lie groups Linear algebraic groups Logic, Symbolic and mathematical Mathematical analysis Mathematical physics Mathematics Nonassociative algebras Number theory Philosophers Philosophy, Russian Physics Soviet Union Topological groups Transcendental numbers
Covers
Alternative Names
Aleksei Nikolаjevitš Pаršin venäläinen matemaatikko
Aleksej Nikolaevič Paršin
Aleksej Nikolaevič Paršin matemático ruso
Alexei Nikolaevich Parshin matematikan rus
Alexei Nikolaevich Parshin Russian mathematician
Alexei Nikolajewitsch Parschin mathématicien russe
Alexei Nikolajewitsch Parschin Russisch wiskundige
Alexei Nikolajewitsch Parschin russischer Mathematiker
Alexeï Parchine mathématicien russe
Alexey Parshin
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 А.Н.
Паршин, А. Н. (Алексей Николаевич), 1942
Паршин, Алексей Николаевич
Паршин, Алексей Николаевич 1942...
اليكسى نيكولايڤيتش پارشين
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