Lützen, Jesper
Overview
Works:  51 works in 162 publications in 3 languages and 1,583 library holdings 

Genres:  Biography History Sources 
Roles:  Author, Editor, Other 
Classifications:  QA29.L62, 510.92 
Publication Timeline
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Most widely held works by
Jesper Lützen
Joseph Liouville, 18091882, master of pure and applied mathematics by
Jesper Lützen(
Book
)
14 editions published in 1990 in English and held by 482 WorldCat member libraries worldwide
This scientific biography of the mathematician Joseph Liouville is divided into two parts. The first part is a chronological account of Liouville's career including a description of the institutions he worked in, his relations with his teachers, colleagues and students, and the historical context of his works. It portrays the French scientific community in a period when Germany and England had surpassed France as the leading nations in mathematics and physics. The second part of the book gives a detailed analysis of Liouville's major contributions to mathematics and mechanics. The gradual development of Liouville's ideas, as reflected in his publications and notebooks, are related to the works of his predecessors and his contemporaries as well as to later developments in the field. On the basis of Liouville's unpublished notes the book reconstructs Liouville's hitherto unknown theories of stability of rotating masses of fluid, potential theory, Galois theory and electrodynamics. It also incorporates valuable added information from Liouville's notes regarding his works on differentiation of arbitrary order, integration in finite terms, SturmLiouville theory, transcendental numbers, doubly periodic functions, geometry and mechanics
14 editions published in 1990 in English and held by 482 WorldCat member libraries worldwide
This scientific biography of the mathematician Joseph Liouville is divided into two parts. The first part is a chronological account of Liouville's career including a description of the institutions he worked in, his relations with his teachers, colleagues and students, and the historical context of his works. It portrays the French scientific community in a period when Germany and England had surpassed France as the leading nations in mathematics and physics. The second part of the book gives a detailed analysis of Liouville's major contributions to mathematics and mechanics. The gradual development of Liouville's ideas, as reflected in his publications and notebooks, are related to the works of his predecessors and his contemporaries as well as to later developments in the field. On the basis of Liouville's unpublished notes the book reconstructs Liouville's hitherto unknown theories of stability of rotating masses of fluid, potential theory, Galois theory and electrodynamics. It also incorporates valuable added information from Liouville's notes regarding his works on differentiation of arbitrary order, integration in finite terms, SturmLiouville theory, transcendental numbers, doubly periodic functions, geometry and mechanics
The prehistory of the theory of distributions by
Jesper Lützen(
Book
)
22 editions published between 1979 and 2011 in English and Danish and held by 402 WorldCat member libraries worldwide
I first learned the theory of distributions from Professor Ebbe Thue Poulsen in an undergraduate course at Aarhus University. Both his lectures and the textbook, Topological Vector Spaces, Distributions and Kernels by F. Treves, used in the course, opened my eyes to the beauty and abstract simplicity of the theory. However my incomplete study of many branches of classical analysis left me with the question: Why is the theory of distributions important? In my continued studies this question was gradually answered, but my growing interest in the history of mathematics caused me to alter my question to other questions such as: For what purpose, if any, was the theory of distributions originally created? Who invented distributions and when? I quickly found answers to the last two questions: distributions were invented by S. Sobolev and L. Schwartz around 1936 and 1950, respectively. Knowing this answer, however, only created a new question: Did Sobolev and Schwartz construct distributions from scratch or were there earlier trends and, if so, what were they? It is this question, concerning the pre history of the theory of distributions, which I attempt to answer in this book. Most of my research took place at the History of Science Department of Aarhus University. I wish to thank this department for its financial and intellectual support. I am especially grateful to Lektors Kirsti Andersen from the History of Science Department and Lars Mejlbo from the Mathematics Department, for their kindness, constructive criticism, and encouragement
22 editions published between 1979 and 2011 in English and Danish and held by 402 WorldCat member libraries worldwide
I first learned the theory of distributions from Professor Ebbe Thue Poulsen in an undergraduate course at Aarhus University. Both his lectures and the textbook, Topological Vector Spaces, Distributions and Kernels by F. Treves, used in the course, opened my eyes to the beauty and abstract simplicity of the theory. However my incomplete study of many branches of classical analysis left me with the question: Why is the theory of distributions important? In my continued studies this question was gradually answered, but my growing interest in the history of mathematics caused me to alter my question to other questions such as: For what purpose, if any, was the theory of distributions originally created? Who invented distributions and when? I quickly found answers to the last two questions: distributions were invented by S. Sobolev and L. Schwartz around 1936 and 1950, respectively. Knowing this answer, however, only created a new question: Did Sobolev and Schwartz construct distributions from scratch or were there earlier trends and, if so, what were they? It is this question, concerning the pre history of the theory of distributions, which I attempt to answer in this book. Most of my research took place at the History of Science Department of Aarhus University. I wish to thank this department for its financial and intellectual support. I am especially grateful to Lektors Kirsti Andersen from the History of Science Department and Lars Mejlbo from the Mathematics Department, for their kindness, constructive criticism, and encouragement
Mechanistic images in geometric form : Heinrich Hertz's Principles of mechanics by
Jesper Lützen(
Book
)
18 editions published between 2005 and 2010 in English and held by 187 WorldCat member libraries worldwide
"This book gives an analysis of Hertz's posthumously published Principles of Mechanics in its philosophical, physical and mathematical context. Recently many philosophers have studied Hertz's image theory and historians of physics have discussed his forceless mechanics. The present book shows how these aspects, as well as the hitherto overlooked mathematical aspects, form an integrated whole which is closely connected to the mechanistic world view of the time and which is a natural continuation of Hertz's earlier research on electromagnetism. Thereby it is a case study in the strong interactions between philosophy, physics and mathematics. Moreover, the book presents an analysis of the genesis of many of the central elements of Hertz's mechanics based on his manuscripts and drafts."BOOK JACKET
18 editions published between 2005 and 2010 in English and held by 187 WorldCat member libraries worldwide
"This book gives an analysis of Hertz's posthumously published Principles of Mechanics in its philosophical, physical and mathematical context. Recently many philosophers have studied Hertz's image theory and historians of physics have discussed his forceless mechanics. The present book shows how these aspects, as well as the hitherto overlooked mathematical aspects, form an integrated whole which is closely connected to the mechanistic world view of the time and which is a natural continuation of Hertz's earlier research on electromagnetism. Thereby it is a case study in the strong interactions between philosophy, physics and mathematics. Moreover, the book presents an analysis of the genesis of many of the central elements of Hertz's mechanics based on his manuscripts and drafts."BOOK JACKET
Around Caspar Wessel and the geometric representation of complex numbers : proceedings of the Wessel Symposium at The Royal
Danish Academy of Sciences and Letters, Copenhagen, August 1115 1998. Invited papers by Wessel Symposium(
Book
)
9 editions published in 2001 in English and Danish and held by 78 WorldCat member libraries worldwide
9 editions published in 2001 in English and Danish and held by 78 WorldCat member libraries worldwide
On the analytical representation of direction : an attempt applied chiefly to solving plane and spherical polygons, 1797 by
Caspar Wessel(
Book
)
14 editions published in 1999 in English and held by 72 WorldCat member libraries worldwide
14 editions published in 1999 in English and held by 72 WorldCat member libraries worldwide
Cirklens kvadratur, vinklens tredeling og terningens fordobling : fra oldtidens geometri til moderne algebra by
Jesper Lützen(
Book
)
7 editions published between 1983 and 1993 in Danish and Undetermined and held by 15 WorldCat member libraries worldwide
7 editions published between 1983 and 1993 in Danish and Undetermined and held by 15 WorldCat member libraries worldwide
Sturm and Liouville's work on ordinary linear differential equations, the emergence of SturmLiouville theory by
Joseph Liouville(
Book
)
2 editions published in 1982 in English and held by 8 WorldCat member libraries worldwide
2 editions published in 1982 in English and held by 8 WorldCat member libraries worldwide
Træk af den matematiske analyses historie : En antologi af kilder og sekundær litteratur(
Book
)
3 editions published in 1987 in Danish and held by 7 WorldCat member libraries worldwide
3 editions published in 1987 in Danish and held by 7 WorldCat member libraries worldwide
Joseph Liouville's work on the figures of equilibrium of a rotating mass of fluid by
Joseph Liouville(
Book
)
1 edition published in 1983 in English and held by 7 WorldCat member libraries worldwide
1 edition published in 1983 in English and held by 7 WorldCat member libraries worldwide
Joseph Liouville et le College de France by
Joseph Liouville(
Book
)
2 editions published in 1984 in French and held by 6 WorldCat member libraries worldwide
2 editions published in 1984 in French and held by 6 WorldCat member libraries worldwide
Joseph Liouville mathematicien pur et applique, a scientific biography : vol. 1 by
Joseph Liouville(
Book
)
2 editions published in 1984 in French and held by 6 WorldCat member libraries worldwide
2 editions published in 1984 in French and held by 6 WorldCat member libraries worldwide
Interactions : mathematics, physics and philosophy, 18601930 by
Vincent F Hendricks(
Book
)
4 editions published in 2006 in English and held by 5 WorldCat member libraries worldwide
"The present volume is unique in assembling a broad spectrum of positions on the history of science by some of its leading representatives. Readers will find it illuminating to learn how prominent authors judge the current status and the future perspectives of their field. Students will find this volume helpful as a guide in a fragmented field that continues to be dominated by idiosyncratic expertise and that still lacks a methodical canon."Jacket
4 editions published in 2006 in English and held by 5 WorldCat member libraries worldwide
"The present volume is unique in assembling a broad spectrum of positions on the history of science by some of its leading representatives. Readers will find it illuminating to learn how prominent authors judge the current status and the future perspectives of their field. Students will find this volume helpful as a guide in a fragmented field that continues to be dominated by idiosyncratic expertise and that still lacks a methodical canon."Jacket
Matematikken og verden(
Book
)
1 edition published in 2001 in Danish and held by 5 WorldCat member libraries worldwide
1 edition published in 2001 in Danish and held by 5 WorldCat member libraries worldwide
Kilder til matematikkens historie(
Book
)
2 editions published between 1998 and 1999 in Danish and held by 5 WorldCat member libraries worldwide
2 editions published between 1998 and 1999 in Danish and held by 5 WorldCat member libraries worldwide
Joseph Liouville's contribution to the theory of integral equations by
Joseph Liouville(
Book
)
2 editions published in 1981 in English and held by 4 WorldCat member libraries worldwide
2 editions published in 1981 in English and held by 4 WorldCat member libraries worldwide
Fakultære højdepunkter : episoder fra Det naturvidenskabelige Fakultets 150årige historie(
Book
)
3 editions published in 2000 in Danish and held by 4 WorldCat member libraries worldwide
3 editions published in 2000 in Danish and held by 4 WorldCat member libraries worldwide
Joseph Liouville's work on the figures of equilibrium of a rotating mass of fluid by
Jesper Lützen(
Book
)
3 editions published in 1983 in English and held by 3 WorldCat member libraries worldwide
3 editions published in 1983 in English and held by 3 WorldCat member libraries worldwide
Denouncing forces ; geometrizing mechanics : Hertz's principles of mechanics by
Jesper Lützen(
Book
)
2 editions published in 1995 in English and held by 3 WorldCat member libraries worldwide
2 editions published in 1995 in English and held by 3 WorldCat member libraries worldwide
Joseph Liouville et le Collège de France by
Bruno Belhoste(
Book
)
3 editions published in 1984 in French and held by 3 WorldCat member libraries worldwide
3 editions published in 1984 in French and held by 3 WorldCat member libraries worldwide
From summetria to symmetry : the making of a revolutionary scientific concept by
Giora Hon(
Book
)
2 editions published in 2008 in English and held by 1 WorldCat member library worldwide
"The concept of symmetry is inherent to modern science, and its evolution has a complex history that richly exemplifies the dynamics of scientific change. This study is based on primary sources, presented in context: the authors examine closely the trajectory of the concept in the mathematical and scientific disciplines as well as its trajectory in art and architecture. The principal goal is to demonstrate that, despite the variety of usages in many different domains, there is a conceptual unity underlying the invocation of symmetry in the period from antiquity to the 1790s which is distinct from the scientific usages of this term that first emerged in France at the end of the 18th century. The key figure in revolutionizing the concept of symmetry is the mathematician, AdrienMarie Legendre. His achievements in solid geometry (1794) are contrasted with the views of the philosopher, Immanuel Kant, on the directionality of space (1768)."Jacket
2 editions published in 2008 in English and held by 1 WorldCat member library worldwide
"The concept of symmetry is inherent to modern science, and its evolution has a complex history that richly exemplifies the dynamics of scientific change. This study is based on primary sources, presented in context: the authors examine closely the trajectory of the concept in the mathematical and scientific disciplines as well as its trajectory in art and architecture. The principal goal is to demonstrate that, despite the variety of usages in many different domains, there is a conceptual unity underlying the invocation of symmetry in the period from antiquity to the 1790s which is distinct from the scientific usages of this term that first emerged in France at the end of the 18th century. The key figure in revolutionizing the concept of symmetry is the mathematician, AdrienMarie Legendre. His achievements in solid geometry (1794) are contrasted with the views of the philosopher, Immanuel Kant, on the directionality of space (1768)."Jacket
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Related Identities
 Liouville, Joseph 18091882 Author
 Wessel, Caspar 17451818 Honoree Author
 Branner, Bodil Author of introduction Other Editor
 Bos, Henk Other
 Andersen, Kirsti Author of introduction Other Author
 Roland, Alex
 Levere, Trevor
 Swerdlow, Noel
 Shapiro, Alan
 Newman, William
Useful Links
Associated Subjects
Aesthetics Architecture Cartography Causality (Physics) Circlesquaring Cube, Duplication of DenmarkCopenhagen France Geometry Københavns universitet.Naturvidenskabelige fakultet Liouville, Joseph, Mathematical analysis Mathematical analysisFoundations Mathematicians Mathematics MathematicsPhilosophy Mechanics, Analytic Norway Numbers, Complex Om directionens analytiske betegning (Wessel, Caspar) Philosophy and science Physics PhysicsPhilosophy Science SciencePhilosophy ScienceStudy and teaching (Higher) Surveyors Symmetry Theory of distributions (Functional analysis) Trisection of angle Vector analysis Wessel, Caspar,