Ahlfors, Lars V. (Lars Valerian) 19071996
Overview
Works:  167 works in 673 publications in 8 languages and 9,625 library holdings 

Genres:  Conference papers and proceedings Biography 
Roles:  Author, Editor, Honoree, Other, Creator 
Classifications:  QA331, 517.8 
Publication Timeline
.
Most widely held works about
Lars V Ahlfors
 Complex analysis, Joensuu 1987 : proceedings of the XIIIth Rolf NevanlinnaColloquium, held in Joensuu, Finland, Aug. 1013, 1987 by Ilpo Laine( Book )
 Lars Ahlfors : at the summit of mathematics by Olli Lehto( Book )
 Complex analysis : proceedings ; Devoted to ... Lars V. Ahlfors to celebrate his 80. birthday( Book )
 Ahlfors, Lars Valerian : Complex Analysis, Conformal Mapping( )
 Lars Valerian Ahlfors( )
 Papers of Lars Valerian Ahlfors by Lars V Ahlfors( )
more
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Most widely held works by
Lars V Ahlfors
Complex analysis; an introduction to the theory of analytic functions of one complex variable by
Lars V Ahlfors(
Book
)
108 editions published between 1953 and 2013 in 3 languages and held by 2,418 WorldCat member libraries worldwide
A standard source of information of functions of one complex variable, this text has retained its wide popularity in this field by being consistently rigorous without becoming needlessly concerned with advanced or overspecialized material. Difficult points have been clarified, the book has been reviewed for accuracy, and notations and terminology have been modernized. Chapter 2, Complex Functions, features a brief section on the change of length and area under conformal mapping, and much of Chapter 8, GlobalAnalytic Functions, has been rewritten in order to introduce readers to the terminology of germs and sheaves while still emphasizing that classical concepts are the backbone of the theory. Chapter 4, Complex Integration, now includes a new and simpler proof of the general form of Cauchy's theorem. There is a short section on the Riemann zeta function, showing the use of residues in a more exciting situation than in the computation of definite integrals
108 editions published between 1953 and 2013 in 3 languages and held by 2,418 WorldCat member libraries worldwide
A standard source of information of functions of one complex variable, this text has retained its wide popularity in this field by being consistently rigorous without becoming needlessly concerned with advanced or overspecialized material. Difficult points have been clarified, the book has been reviewed for accuracy, and notations and terminology have been modernized. Chapter 2, Complex Functions, features a brief section on the change of length and area under conformal mapping, and much of Chapter 8, GlobalAnalytic Functions, has been rewritten in order to introduce readers to the terminology of germs and sheaves while still emphasizing that classical concepts are the backbone of the theory. Chapter 4, Complex Integration, now includes a new and simpler proof of the general form of Cauchy's theorem. There is a short section on the Riemann zeta function, showing the use of residues in a more exciting situation than in the computation of definite integrals
Advances in the theory of Riemann surfaces; proceedings of the 1969 Stony Brook conference by Stony Brook Conference(
)
20 editions published in 1971 in English and Undetermined and held by 1,294 WorldCat member libraries worldwide
Intended for researchers in Riemann surfaces, this volume summarizes a significant portion of the work done in the field during the years 1966 to 1971
20 editions published in 1971 in English and Undetermined and held by 1,294 WorldCat member libraries worldwide
Intended for researchers in Riemann surfaces, this volume summarizes a significant portion of the work done in the field during the years 1966 to 1971
Riemann surfaces by
Lars V Ahlfors(
Book
)
39 editions published between 1960 and 2016 in English and Undetermined and held by 957 WorldCat member libraries worldwide
The theory of Riemann surfaces has a geometric and an analytic part. The former deals with the axiomatic definition of a Riemann surface, methods of construction, topological equivalence, and conformal mappings of one Riemann surface on another. The analytic part is concerned with the existence and properties of functions that have a special character connected with the conformal structure, for instance: subharmonic, harmonic, and analytic functions. Originally published in 1960. The Princeton Legacy Library uses the latest printondemand technology to again make available previously outofprint books from the distinguished backlist of Princeton University Press. These paperback editions preserve the original texts of these important books while presenting them in durable paperback editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905
39 editions published between 1960 and 2016 in English and Undetermined and held by 957 WorldCat member libraries worldwide
The theory of Riemann surfaces has a geometric and an analytic part. The former deals with the axiomatic definition of a Riemann surface, methods of construction, topological equivalence, and conformal mappings of one Riemann surface on another. The analytic part is concerned with the existence and properties of functions that have a special character connected with the conformal structure, for instance: subharmonic, harmonic, and analytic functions. Originally published in 1960. The Princeton Legacy Library uses the latest printondemand technology to again make available previously outofprint books from the distinguished backlist of Princeton University Press. These paperback editions preserve the original texts of these important books while presenting them in durable paperback editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905
Contributions to the theory of Riemann surfaces : centennial celebration of Riemann's dissertation by
Lars V Ahlfors(
Book
)
32 editions published between 1953 and 1985 in English and Undetermined and held by 674 WorldCat member libraries worldwide
The book description for the forthcoming "Contributions to the Theory of Riemann Surfaces. (AM30)" is not yet available
32 editions published between 1953 and 1985 in English and Undetermined and held by 674 WorldCat member libraries worldwide
The book description for the forthcoming "Contributions to the Theory of Riemann Surfaces. (AM30)" is not yet available
Conformal invariants: topics in geometric function theory by
Lars V Ahlfors(
Book
)
27 editions published between 1973 and 2012 in English and held by 605 WorldCat member libraries worldwide
Most conformal invariants can be described in terms of extremal properties. Conformal invariants and extremal problems are therefore intimately linked and form together the central theme of this classic book which is primarily intended for students with approximately a year's background in complex variable theory. The book emphasizes the geometric approach as well as classical and semiclassical results which Lars Ahlfors felt every student of complex analysis should know before embarking on independent research. At the time of the book's original appearance, much of this material had never ap
27 editions published between 1973 and 2012 in English and held by 605 WorldCat member libraries worldwide
Most conformal invariants can be described in terms of extremal properties. Conformal invariants and extremal problems are therefore intimately linked and form together the central theme of this classic book which is primarily intended for students with approximately a year's background in complex variable theory. The book emphasizes the geometric approach as well as classical and semiclassical results which Lars Ahlfors felt every student of complex analysis should know before embarking on independent research. At the time of the book's original appearance, much of this material had never ap
Contributions to analysis: a collection of papers dedicated to Lipman Bers by
Lipman Bers(
Book
)
20 editions published between 1974 and 2014 in English and Undetermined and held by 457 WorldCat member libraries worldwide
Contributions to Analysis: A Collection of Papers Dedicated to Lipman Bers is a compendium of papers provided by Bers, friends, students, colleagues, and professors. These papers deal with Teichmuller spaces, Kleinian groups, theta functions, algebraic geometry. Other papers discuss quasiconformal mappings, function theory, differential equations, and differential topology. One paper discusses the results of the rigidity theorem of Mostow and its generalization by Marden in relation to geometric properties of Kleinian groups of the first kind. These results, obtained by planar methods, are pre
20 editions published between 1974 and 2014 in English and Undetermined and held by 457 WorldCat member libraries worldwide
Contributions to Analysis: A Collection of Papers Dedicated to Lipman Bers is a compendium of papers provided by Bers, friends, students, colleagues, and professors. These papers deal with Teichmuller spaces, Kleinian groups, theta functions, algebraic geometry. Other papers discuss quasiconformal mappings, function theory, differential equations, and differential topology. One paper discusses the results of the rigidity theorem of Mostow and its generalization by Marden in relation to geometric properties of Kleinian groups of the first kind. These results, obtained by planar methods, are pre
Lectures on quasiconformal mappings by
Lars V Ahlfors(
Book
)
12 editions published in 1966 in English and Undetermined and held by 418 WorldCat member libraries worldwide
12 editions published in 1966 in English and Undetermined and held by 418 WorldCat member libraries worldwide
Lectures on quasiconformal mappings by
Lars V Ahlfors(
Book
)
19 editions published between 1960 and 2017 in English and Undetermined and held by 224 WorldCat member libraries worldwide
Lars Ahlfors's Lectures on Quasiconformal Mappings, based on a course he gave at Harvard University in the spring term of 1964, was first published in 1966 and was soon recognized as the classic it was shortly destined to become. These lectures develop the theory of quasiconformal mappings from scratch, give a selfcontained treatment of the Beltrami equation, and cover the basic properties of Teichmüller spaces, including the Bers embedding and the Teichmüller curve. It is remarkable how Ahlfors goes straight to the heart of the matter, presenting major results with a minimum set of prerequisites. Many graduate students and other mathematicians have learned the foundations of the theories of quasiconformal mappings and Teichmüller spaces from these lecture notes. This edition includes three new chapters. The first, written by Earle and Kra, describes further developments in the theory of Teichmüller spaces and provides many references to the vast literature on Teichmüller spaces and quasiconformal mappings. The second, by Shishikura, describes how quasiconformal mappings have revitalized the subject of complex dynamics. The third, by Hubbard, illustrates the role of these mappings in Thurston's theory of hyperbolic structures on 3manifolds. Together, these three new chapters exhibit the continuing vitality and importance of the theory of quasiconformal mappings
19 editions published between 1960 and 2017 in English and Undetermined and held by 224 WorldCat member libraries worldwide
Lars Ahlfors's Lectures on Quasiconformal Mappings, based on a course he gave at Harvard University in the spring term of 1964, was first published in 1966 and was soon recognized as the classic it was shortly destined to become. These lectures develop the theory of quasiconformal mappings from scratch, give a selfcontained treatment of the Beltrami equation, and cover the basic properties of Teichmüller spaces, including the Bers embedding and the Teichmüller curve. It is remarkable how Ahlfors goes straight to the heart of the matter, presenting major results with a minimum set of prerequisites. Many graduate students and other mathematicians have learned the foundations of the theories of quasiconformal mappings and Teichmüller spaces from these lecture notes. This edition includes three new chapters. The first, written by Earle and Kra, describes further developments in the theory of Teichmüller spaces and provides many references to the vast literature on Teichmüller spaces and quasiconformal mappings. The second, by Shishikura, describes how quasiconformal mappings have revitalized the subject of complex dynamics. The third, by Hubbard, illustrates the role of these mappings in Thurston's theory of hyperbolic structures on 3manifolds. Together, these three new chapters exhibit the continuing vitality and importance of the theory of quasiconformal mappings
Collected papers by
Lars V Ahlfors(
Book
)
4 editions published in 1982 in English and German and held by 201 WorldCat member libraries worldwide
4 editions published in 1982 in English and German and held by 201 WorldCat member libraries worldwide
Gesammelte Abhandlungen = Collected papers by
Oswald Teichmüller(
Book
)
14 editions published between 1982 and 2015 in German and English and held by 175 WorldCat member libraries worldwide
14 editions published between 1982 and 2015 in German and English and held by 175 WorldCat member libraries worldwide
Lectures on quasiconformal mappings by
Lars V Ahlfors(
Book
)
22 editions published between 1966 and 2015 in 3 languages and held by 166 WorldCat member libraries worldwide
Lars Ahlfors's Lectures on Quasiconformal Mappings, based on a course he gave at Harvard University in the spring term of 1964, was first published in 1966 and was soon recognized as the classic it was shortly destined to become. These lectures develop the theory of quasiconformal mappings from scratch, give a selfcontained treatment of the Beltrami equation, and cover the basic properties of Teichmüller spaces, including the Bers embedding and the Teichmüller curve. It is remarkable how Ahlfors goes straight to the heart of the matter, presenting major results with a minimum set of prerequisites. Many graduate students and other mathematicians have learned the foundations of the theories of quasiconformal mappings and Teichmüller spaces from these lecture notes. This edition includes three new chapters. The first, written by Earle and Kra, describes further developments in the theory of Teichmüller spaces and provides many references to the vast literature on Teichmüller spaces and quasiconformal mappings. The second, by Shishikura, describes how quasiconformal mappings have revitalized the subject of complex dynamics. The third, by Hubbard, illustrates the role of these mappings in Thurston's theory of hyperbolic structures on 3manifolds. Together, these three new chapters exhibit the continuing vitality and importance of the theory of quasiconformal mappings
22 editions published between 1966 and 2015 in 3 languages and held by 166 WorldCat member libraries worldwide
Lars Ahlfors's Lectures on Quasiconformal Mappings, based on a course he gave at Harvard University in the spring term of 1964, was first published in 1966 and was soon recognized as the classic it was shortly destined to become. These lectures develop the theory of quasiconformal mappings from scratch, give a selfcontained treatment of the Beltrami equation, and cover the basic properties of Teichmüller spaces, including the Bers embedding and the Teichmüller curve. It is remarkable how Ahlfors goes straight to the heart of the matter, presenting major results with a minimum set of prerequisites. Many graduate students and other mathematicians have learned the foundations of the theories of quasiconformal mappings and Teichmüller spaces from these lecture notes. This edition includes three new chapters. The first, written by Earle and Kra, describes further developments in the theory of Teichmüller spaces and provides many references to the vast literature on Teichmüller spaces and quasiconformal mappings. The second, by Shishikura, describes how quasiconformal mappings have revitalized the subject of complex dynamics. The third, by Hubbard, illustrates the role of these mappings in Thurston's theory of hyperbolic structures on 3manifolds. Together, these three new chapters exhibit the continuing vitality and importance of the theory of quasiconformal mappings
Lectures in memory of Lars Ahlfors(
Book
)
6 editions published in 2000 in English and held by 109 WorldCat member libraries worldwide
6 editions published in 2000 in English and held by 109 WorldCat member libraries worldwide
Möbius transformations in several dimensions by
Lars V Ahlfors(
Book
)
22 editions published between 1981 and 1989 in 4 languages and held by 95 WorldCat member libraries worldwide
22 editions published between 1981 and 1989 in 4 languages and held by 95 WorldCat member libraries worldwide
Some problems of mathematics and mechanics : on the occasion of the seventieth birthday of academician M.A. Lavrentʹev by
Akademii︠a︡ nauk SSSR(
Book
)
11 editions published between 1976 and 2012 in English and held by 56 WorldCat member libraries worldwide
11 editions published between 1976 and 2012 in English and held by 56 WorldCat member libraries worldwide
Variational methods in function theory; lectures by
Lars V Ahlfors(
Book
)
6 editions published in 1953 in English and held by 49 WorldCat member libraries worldwide
6 editions published in 1953 in English and held by 49 WorldCat member libraries worldwide
Untersuchungen zur Theorie der konformen Abbildung und der ganzen Funktionen by
Lars V Ahlfors(
Book
)
8 editions published in 1930 in German and Swedish and held by 47 WorldCat member libraries worldwide
8 editions published in 1930 in German and Swedish and held by 47 WorldCat member libraries worldwide
Complex analysis, an introduction to the theory of analytic functions of one complex variable. Lars V. Ahlfors, by
Lars V Ahlfors(
Book
)
8 editions published between 1953 and 1979 in English and held by 45 WorldCat member libraries worldwide
8 editions published between 1953 and 1979 in English and held by 45 WorldCat member libraries worldwide
Sur les domaines dans lesquels une fonction méromorphe prend des valeurs appartenant à une région donnée by
Lars V Ahlfors(
Book
)
10 editions published in 1933 in French and held by 42 WorldCat member libraries worldwide
10 editions published in 1933 in French and held by 42 WorldCat member libraries worldwide
Lars Ahlfors : at the summit of mathematics by
Olli Lehto(
Book
)
1 edition published in 2013 in Finnish and held by 6 WorldCat member libraries worldwide
Biography of Finnish American mathematician, Lars Ahlfors (19071996)
1 edition published in 2013 in Finnish and held by 6 WorldCat member libraries worldwide
Biography of Finnish American mathematician, Lars Ahlfors (19071996)
Complex analysis, Joensuu 1987 : proceedings of the XIIIth Rolf NevanlinnaColloquium, held in Joensuu, Finland, Aug. 1013,
1987 by
Ilpo Laine(
Book
)
1 edition published in 1988 in English and held by 5 WorldCat member libraries worldwide
The articles in this volume are for the most part research articles related mainly to the theory of quasiconformal and quasiregular mappings, Riemann surfaces and potential theory. They have resulted from talks delivered at the 13th Nevanlinna Colloquium, which was also a celebration of the 80th birthday of Lars V. Ahlfors: hence many articles in this volume reflect his mathematical interests
1 edition published in 1988 in English and held by 5 WorldCat member libraries worldwide
The articles in this volume are for the most part research articles related mainly to the theory of quasiconformal and quasiregular mappings, Riemann surfaces and potential theory. They have resulted from talks delivered at the 13th Nevanlinna Colloquium, which was also a celebration of the 80th birthday of Lars V. Ahlfors: hence many articles in this volume reflect his mathematical interests
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Audience Level
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Kids  General  Special 
Related Identities
 Sario, Leo Editor Author Contributor
 Bers, Lipman Honoree Author Dedicatee
 Laine, Ilpo Other Editor
 Rickman, S. Other
 Sorvali, Tuomas 1944 Other
 Shortt, Rae Michael Editor
 Teichmüller, Oswald 19131943 Author
 Gehring, Frederick W. Author Editor
 Lehto, Olli Author
 Earle, Clifford J. Other Contributor
Useful Links
Associated Subjects
Ahlfors, Lars V.(Lars Valerian), Algebra Analytic functions Bers, Lipman Calculus of variations Canada Conformal invariants Conformal mapping Finland Functional analysis Functions, Meromorphic Functions of complex variables Functions of several complex variables Geometric function theory Geometry, Hyperbolic Global analysis (Mathematics) Lavrentʹev, M. A.(Mikhail Alekseevich), MassachusettsCambridge Mathematical analysis Mathematicians Mathematics MathematicsResearch MathematicsStudy and teaching (Higher) Matrix groups Mechanics Mechanics, Analytic Möbius transformations Power series Quasiconformal mappings Riemann surfaces Scientists Surfaces, Representation of Teichmüller spaces Topology United States
Covers
Alternative Names
Ahlfors, L.
Ahlfors, L. 19071996
Ahlfors, L. V.
Ahlfors, L.V. 19071996
Ahlfors, L. V. (Lars Valerian), 19071996
Ahlfors, Lars.
Ahlfors Lars 19071996
Ahlfors Lars V.
Ahlfors, Lars V. 1907
Ahlfors, Lars V. 19071996
Ahlfors, Lars V. (Lars Valerian)
Ahlfors, Lars V. (Lars Valerian), 1907
Ahlfors, Lars V. (Lars Valerian), 19071996
Ahlfors, Lars Valerian
Ahlfors, Lars Valerian 1907
Al'fors, L.
Alʹfors, L. 19071996
Alʹfors, Lars
Alʹfors, Lars 19071996
Alfors Lars Valerïan
Āruforusu, L. V. 19071996
Lars Ahlfors amerykański matematyk pochodzenia fińskiego
Lars Ahlfors Finn matematikus
Lars Ahlfors Finnish mathematician
Lars Ahlfors finský matematik
Lars Ahlfors matemàtic finlandès
Lars Ahlfors matematician finlandez
Lars Ahlfors matemático finlandés
Lars Ahlfors matematico finlandese
Lars Ahlfors matematikan finlandez
Lars Ahlfors mathématicien finnois
Lars Ahlfors suomalainen matemaatikko
Lars Ahlfors wiskundige uit Keizerrijk Rusland (19071996)
Lars Valerian Ahlfors
Lars Valerian Ahlfors finnischUSamerikanischer Mathematiker
Lars Valerian Ahlfors Soome matemaatik
Larss Ālforss
Алфорс Ларс Валериан
Альфорс Л.
Альфорс, Ларс.
Альфорс, Ларс 19071996
Ларс Альфорс
לארס אלפורס
לארס אלפורס מתמטיקאי פיני
الفورس لارس ۆالەرىيان
لارس آلفورس
لارس أهلفورس
لارس أهلفورس رياضياتي فنلندي
لارس آہلفورز
လားစ် အာဖော်
라르스 알포르스
アールフォルス, L. V.
アールフォルス, ラース・バレリアン
ラース・ヴァレリアン・アールフォルス
拉斯·阿爾福士
拉斯·阿尔福斯
Languages