Gårding, Lars 1919
Overview
Works:  71 works in 260 publications in 10 languages and 3,421 library holdings 

Genres:  History Biography Conference papers and proceedings Academic theses 
Roles:  Author, Editor, htt, Interviewee, Commentator, Contributor 
Publication Timeline
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Most widely held works by
Lars Gårding
Encounter with mathematics by
Lars Gårding(
Book
)
36 editions published between 1977 and 2012 in 6 languages and held by 891 WorldCat member libraries worldwide
Trying to make mathematics understandable to the general public is a very difficult task. The writer has to take into account that his reader has very little patience with unfamiliar concepts and intricate logic and this means that large parts of mathematics are out of bounds. When planning this book, I set myself an easier goal. I wrote it for those who already know some mathematics, in particular those who study the subject the first year after high school. Its purpose is to provide a historical, scientific, and cultural frame for the parts of mathematics that meet the beginning student. Nine chapters ranging from number theory to applications are devoted to this program. Each one starts with a historical introduction, continues with a tight but complete account of some basic facts and proceeds to look at the present state of affairs including, if possible, some recent piece of research. Most of them end with one or two passages from historical mathematical papers, translated into English and edited so as to be understandable. Sometimes the reader is referred back to earlier parts of the text, but the various chapters are to a large extent independent of each other. A reader who gets stuck in the middle of a chapter can still read large parts of the others. It should be said, however, that the book is not meant to be read straight through
36 editions published between 1977 and 2012 in 6 languages and held by 891 WorldCat member libraries worldwide
Trying to make mathematics understandable to the general public is a very difficult task. The writer has to take into account that his reader has very little patience with unfamiliar concepts and intricate logic and this means that large parts of mathematics are out of bounds. When planning this book, I set myself an easier goal. I wrote it for those who already know some mathematics, in particular those who study the subject the first year after high school. Its purpose is to provide a historical, scientific, and cultural frame for the parts of mathematics that meet the beginning student. Nine chapters ranging from number theory to applications are devoted to this program. Each one starts with a historical introduction, continues with a tight but complete account of some basic facts and proceeds to look at the present state of affairs including, if possible, some recent piece of research. Most of them end with one or two passages from historical mathematical papers, translated into English and edited so as to be understandable. Sometimes the reader is referred back to earlier parts of the text, but the various chapters are to a large extent independent of each other. A reader who gets stuck in the middle of a chapter can still read large parts of the others. It should be said, however, that the book is not meant to be read straight through
Singularities in linear wave propagation by
Lars Gårding(
Book
)
22 editions published between 1987 and 2008 in 3 languages and held by 571 WorldCat member libraries worldwide
These lecture notes stemming from a course given at the Nankai Institute for Mathematics, Tianjin, in 1986 center on the construction of parametrices for fundamental solutions of hyperbolic differential and pseudodifferential operators. The greater part collects and organizes known material relating to these constructions. The first chapter about constant coefficient operators concludes with the HerglotzPetrovsky formula with applications to lacunas. The rest is devoted to nondegenerate operators. The main novelty is a simple construction of a global parametrix of a firstorder hyperbolic pseudodifferential operator defined on the product of a manifold and the real line. At the end, its simplest singularities are analyzed in detail using the Petrovsky lacuna edition
22 editions published between 1987 and 2008 in 3 languages and held by 571 WorldCat member libraries worldwide
These lecture notes stemming from a course given at the Nankai Institute for Mathematics, Tianjin, in 1986 center on the construction of parametrices for fundamental solutions of hyperbolic differential and pseudodifferential operators. The greater part collects and organizes known material relating to these constructions. The first chapter about constant coefficient operators concludes with the HerglotzPetrovsky formula with applications to lacunas. The rest is devoted to nondegenerate operators. The main novelty is a simple construction of a global parametrix of a firstorder hyperbolic pseudodifferential operator defined on the product of a manifold and the real line. At the end, its simplest singularities are analyzed in detail using the Petrovsky lacuna edition
Algebra for computer science by
Lars Gårding(
Book
)
17 editions published in 1988 in English and German and held by 439 WorldCat member libraries worldwide
Índice: Number theory and computing. Abstract algebra and modules. The finite Fourier transform. Rings and fields. Algebraic complexity theory. Polynomial rings, algebraic fields, finite fields. Shift registers and coding. Groups. Boolean algebra. Monoids, automata, languages
17 editions published in 1988 in English and German and held by 439 WorldCat member libraries worldwide
Índice: Number theory and computing. Abstract algebra and modules. The finite Fourier transform. Rings and fields. Algebraic complexity theory. Polynomial rings, algebraic fields, finite fields. Shift registers and coding. Groups. Boolean algebra. Monoids, automata, languages
Some points of analysis and their history by
Lars Gårding(
Book
)
18 editions published between 1995 and 2001 in English and Chinese and held by 364 WorldCat member libraries worldwide
Ben shu shi rui dian zhu ming shu xue jia jia zheng jiao shou dui yi xie zhong yao de fen xi xue wen ti suo xie de li shi hui gu
18 editions published between 1995 and 2001 in English and Chinese and held by 364 WorldCat member libraries worldwide
Ben shu shi rui dian zhu ming shu xue jia jia zheng jiao shou dui yi xie zhong yao de fen xi xue wen ti suo xie de li shi hui gu
Mathematics and mathematicians : mathematics in Sweden before 1950 by
Lars Gårding(
Book
)
22 editions published between 1994 and 1998 in English and Swedish and held by 259 WorldCat member libraries worldwide
Important results are analyzed and reproved in modern notation, with explanations of their relations to mathematics at the time. The book treats Backlund transformations, MittagLeffler's theorem, the PhragmenLindelof theorem and Carleman's contributions to the spectral theorem, quantum mechanics, and the asymptotics of eigenvalues and eigenfunctions
22 editions published between 1994 and 1998 in English and Swedish and held by 259 WorldCat member libraries worldwide
Important results are analyzed and reproved in modern notation, with explanations of their relations to mathematics at the time. The book treats Backlund transformations, MittagLeffler's theorem, the PhragmenLindelof theorem and Carleman's contributions to the spectral theorem, quantum mechanics, and the asymptotics of eigenvalues and eigenfunctions
Essays in the history of mathematics by
Arthur Schlissel(
Book
)
1 edition published in 1984 in English and held by 255 WorldCat member libraries worldwide
"The papers in this volume represent the talks given at the special session on the history of mathematics held at the annual meeting of the American Mathematical Society, San Francisco, California, January 711, 1981. The invited speakers were researchers of mathematics who spoke about some historical aspect of their particular area of interest. Thus, the presented papers were views of subjects through the eyes of those who helped shape, develop, contribute to them."Introduction
1 edition published in 1984 in English and held by 255 WorldCat member libraries worldwide
"The papers in this volume represent the talks given at the special session on the history of mathematics held at the annual meeting of the American Mathematical Society, San Francisco, California, January 711, 1981. The invited speakers were researchers of mathematics who spoke about some historical aspect of their particular area of interest. Thus, the presented papers were views of subjects through the eyes of those who helped shape, develop, contribute to them."Introduction
Collected papers by
Marcel Riesz(
Book
)
17 editions published between 1988 and 2013 in 5 languages and held by 220 WorldCat member libraries worldwide
Marcel Riesz (18861969) was the younger of the famed pair of mathematicians and brothers. Although Hungarian he spent most of his professional life in Sweden. He worked on summability theory, analytic functions, the moment problem, harmonic and functional analysis, potential theory and the wave equation. The depth of his research and the clarity of his writing place his work on the same level as that of his brother Frédéric Riesz. This edition of his Collected Papers contains most of Marcel Riesz's published papers with the exception of a few papers in Hungarian that were subsumed into later books. It also includes a translation by J. Horváth of Riesz's thesis on summable trigonometric series and summable power series. They are thus a valuable reference work for libraries and for researchers
17 editions published between 1988 and 2013 in 5 languages and held by 220 WorldCat member libraries worldwide
Marcel Riesz (18861969) was the younger of the famed pair of mathematicians and brothers. Although Hungarian he spent most of his professional life in Sweden. He worked on summability theory, analytic functions, the moment problem, harmonic and functional analysis, potential theory and the wave equation. The depth of his research and the clarity of his writing place his work on the same level as that of his brother Frédéric Riesz. This edition of his Collected Papers contains most of Marcel Riesz's published papers with the exception of a few papers in Hungarian that were subsumed into later books. It also includes a translation by J. Horváth of Riesz's thesis on summable trigonometric series and summable power series. They are thus a valuable reference work for libraries and for researchers
Cauchy's problem for hyperbolic equations by
Lars Gårding(
Book
)
30 editions published between 1957 and 1961 in 3 languages and held by 161 WorldCat member libraries worldwide
30 editions published between 1957 and 1961 in 3 languages and held by 161 WorldCat member libraries worldwide
Partial differential equations by
Lipman Bers(
Book
)
8 editions published between 1964 and 1974 in English and held by 54 WorldCat member libraries worldwide
8 editions published between 1964 and 1974 in English and held by 54 WorldCat member libraries worldwide
Applications of the theory of direct integrals of Hilbert spaces to some integral and differential operators by
Lars Gårding(
Book
)
3 editions published in 1954 in English and held by 40 WorldCat member libraries worldwide
3 editions published in 1954 in English and held by 40 WorldCat member libraries worldwide
On a class of linear transformations connected with group representations by
Lars Gårding(
Book
)
6 editions published in 1944 in English and held by 26 WorldCat member libraries worldwide
6 editions published in 1944 in English and held by 26 WorldCat member libraries worldwide
Marcel Riesz : collected papers by
Marcel Riesz(
Book
)
3 editions published between 1988 and 2013 in English and French and held by 17 WorldCat member libraries worldwide
3 editions published between 1988 and 2013 in English and French and held by 17 WorldCat member libraries worldwide
Differential analysis papers presented at the Bombay Colloquium, 1964 by
Michael Francis Atiyah(
Book
)
2 editions published in 1964 in English and held by 8 WorldCat member libraries worldwide
2 editions published in 1964 in English and held by 8 WorldCat member libraries worldwide
Faglars sang och Läten by
Lars Gårding(
Book
)
2 editions published in 1987 in German and Swedish and held by 6 WorldCat member libraries worldwide
2 editions published in 1987 in German and Swedish and held by 6 WorldCat member libraries worldwide
Oeuvres complètes by
Erik Ivar Fredholm(
Book
)
3 editions published in 1955 in French and held by 5 WorldCat member libraries worldwide
3 editions published in 1955 in French and held by 5 WorldCat member libraries worldwide
Cauchy's problem for hyperbolic equations; lectures, winter and spring quarteres, 1957, University of Chicago by
Lars Gårding(
Book
)
3 editions published in 1958 in English and held by 5 WorldCat member libraries worldwide
3 editions published in 1958 in English and held by 5 WorldCat member libraries worldwide
Spectral analysis by
Centro internazionale matematico estivo(
Book
)
1 edition published in 1974 in French and held by 5 WorldCat member libraries worldwide
G. Bottaro: Quelques resultats d'analyse spectrale pour des operateurs differentiels a coefficients constants sur des domaines non bornes. L. Garding: Eigenfuction expansions. C. Goulaouic: Valeurs propres de problemes aux limites irreguliers: applications. G. Grubb: Essential spectra of elliptic systems on compact manifolds. J. Cl. Guillot: Quelques resultats recents en Scattering. N. Schechter: Theory of perturbations of partial differential operators. C.H. Wilcox: Spectral analysis of the Laplacian with a discontinuous coefficient
1 edition published in 1974 in French and held by 5 WorldCat member libraries worldwide
G. Bottaro: Quelques resultats d'analyse spectrale pour des operateurs differentiels a coefficients constants sur des domaines non bornes. L. Garding: Eigenfuction expansions. C. Goulaouic: Valeurs propres de problemes aux limites irreguliers: applications. G. Grubb: Essential spectra of elliptic systems on compact manifolds. J. Cl. Guillot: Quelques resultats recents en Scattering. N. Schechter: Theory of perturbations of partial differential operators. C.H. Wilcox: Spectral analysis of the Laplacian with a discontinuous coefficient
Séminaire sur les équations aux dérivées partielles : 1° Uniformisation ... (Problème de Cauchy) by Séminaire Equations aux dérivées partielles(
Book
)
1 edition published in 1963 in French and held by 4 WorldCat member libraries worldwide
1 edition published in 1963 in French and held by 4 WorldCat member libraries worldwide
Applications of the theory of direct integrals of Hilbert space to some integral and differential operators by
Lars Gårding(
Book
)
1 edition published in 1954 in English and held by 4 WorldCat member libraries worldwide
1 edition published in 1954 in English and held by 4 WorldCat member libraries worldwide
Zadachakoshi. (Trad. de "Probleme de Cauchy") by
Lars Gårding(
Book
)
1 edition published in 1967 in Russian and held by 3 WorldCat member libraries worldwide
1 edition published in 1967 in Russian and held by 3 WorldCat member libraries worldwide
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Audience Level
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Related Identities
 Tambour, Torbjörn
 American Mathematical Society
 Schlissel, Arthur Editor
 Wasow, Wolfgang R. (Wolfgang Richard) 19091993
 Kreith, Kurt
 Neyman, Jerzy 18941981
 Dantzig, George B. (George Bernard) 19142005 Author
 Hoppensteadt, Frank C. (Frank Charles) 1938
 Riesz, Marcel 18861969 Author
 Hörmander, Lars Editor
Useful Links
Associated Subjects
Calculus Cauchy problem Computer scienceMathematics Differential calculus Differential equations Differential equations, Hyperbolic Differential equations, Partial Electronic data processing Exponential functions Functional analysis Global analysis (Mathematics) Group theory Hilbert space Integral equations Logic, Symbolic and mathematical Mathematical analysis Mathematicians Mathematics Operator theory Riesz, Marcel, Singularities (Mathematics) Spectral theory (Mathematics) Sweden Transformations (Mathematics) Wavemotion, Theory of
Covers
Alternative Names
Gårding, L
Garding, Lars
Gårding, Lars 1919
Gårding, Lars 19192014
Gårding, Lars Jacob 19192014
Gording, L.
Gording, L. 1919
Gording, L. 19192014
Lars Gårding matemàtic suec
Lars Gårding matemático sueco
Lars Gårding mathématicien suédois
Lars Gårding schwedischer Mathematiker
Lars Gårding svensk matematikar
Lars Gårding svensk matematiker
Lars Gårding Swedish mathematician
Lars Gårding Zweeds wiskundige (19192014)
Гординг Л.
Гординг, Л 1919
Гординг, Л. (Ларс), 1919
ゴルディング, L.
ラース・ガーディン
拉斯·戈丁
Languages