Magnus, Wilhelm 19071990
Overview
Works:  79 works in 353 publications in 8 languages and 7,817 library holdings 

Genres:  Mathematical formulae Popular works History 
Roles:  Author, Editor, Adapter, Creator, Other 
Classifications:  QA171, 512.86 
Publication Timeline
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Most widely held works about
Wilhelm Magnus
 Carmen inaugurale in honorem illustrissimi principis ac Domini, D. Magni Guilielmi F. Ducis Brunsuicensis & Luneburgensis by Elias Reusner( Book )
Most widely held works by
Wilhelm Magnus
Groups and their graphs by
Israel Grossman(
Book
)
56 editions published between 1964 and 2012 in 7 languages and held by 1,357 WorldCat member libraries worldwide
56 editions published between 1964 and 2012 in 7 languages and held by 1,357 WorldCat member libraries worldwide
Formulas and theorems for the special functions of mathematical physics by
Wilhelm Magnus(
Book
)
32 editions published between 1943 and 1966 in English and German and held by 1,329 WorldCat member libraries worldwide
This is a new and enlarged English edition of the book which, under the title "Formeln und Satze fur die Speziellen Funktionen der mathe matischen Physik" appeared in German in 1946. Much of the material (part of it unpublished) did not appear in the earlier editions. We hope that these additions will be useful and yet not too numerous for the purpose of locating .with ease any particular result. Compared to the first two (German) editions a change has taken place as far as the list of references is concerned. They are generally restricted to books and monographs and accomodated at the end of each individual chapter. Occasional references to papers follow those results to which they apply. The authors felt a certain justification for this change. At the time of the appearance of the previous edition nearly twenty years ago much of the material was scattered over a number of single contributions. Since then most of it has been included in books and monographs with quite exhaustive bibliographies. For information about numerical tables the reader is referred to "Mathematics of Computation", a periodical publis hed by the American Mathematical Society; "Handbook of Mathe matical Functions" with formulas, graphs and mathematical tables National Bureau of Standards Applied Mathematics Series, 55, 1964, 1046 pp., Government Printing Office, Washington, D.C., and FLETCHER, MILLER, ROSENHEAD, Index of Mathematical Tables, AddisonWesley, Reading, Mass.) . There is a list of symbols and abbreviations at the end of the book
32 editions published between 1943 and 1966 in English and German and held by 1,329 WorldCat member libraries worldwide
This is a new and enlarged English edition of the book which, under the title "Formeln und Satze fur die Speziellen Funktionen der mathe matischen Physik" appeared in German in 1946. Much of the material (part of it unpublished) did not appear in the earlier editions. We hope that these additions will be useful and yet not too numerous for the purpose of locating .with ease any particular result. Compared to the first two (German) editions a change has taken place as far as the list of references is concerned. They are generally restricted to books and monographs and accomodated at the end of each individual chapter. Occasional references to papers follow those results to which they apply. The authors felt a certain justification for this change. At the time of the appearance of the previous edition nearly twenty years ago much of the material was scattered over a number of single contributions. Since then most of it has been included in books and monographs with quite exhaustive bibliographies. For information about numerical tables the reader is referred to "Mathematics of Computation", a periodical publis hed by the American Mathematical Society; "Handbook of Mathe matical Functions" with formulas, graphs and mathematical tables National Bureau of Standards Applied Mathematics Series, 55, 1964, 1046 pp., Government Printing Office, Washington, D.C., and FLETCHER, MILLER, ROSENHEAD, Index of Mathematical Tables, AddisonWesley, Reading, Mass.) . There is a list of symbols and abbreviations at the end of the book
Combinatorial group theory; presentations of groups in terms of generators and relations by
Wilhelm Magnus(
Book
)
47 editions published between 1966 and 2005 in English and Undetermined and held by 955 WorldCat member libraries worldwide
47 editions published between 1966 and 2005 in English and Undetermined and held by 955 WorldCat member libraries worldwide
Hill's equation by
Wilhelm Magnus(
Book
)
19 editions published between 1957 and 2004 in English and Undetermined and held by 576 WorldCat member libraries worldwide
19 editions published between 1957 and 2004 in English and Undetermined and held by 576 WorldCat member libraries worldwide
Noneuclidean tesselations and their groups by
Wilhelm Magnus(
Book
)
19 editions published in 1974 in English and held by 565 WorldCat member libraries worldwide
19 editions published in 1974 in English and held by 565 WorldCat member libraries worldwide
The history of combinatorial group theory : a case study in the history of ideas by
Bruce Chandler(
Book
)
15 editions published in 1982 in English and Italian and held by 475 WorldCat member libraries worldwide
One of the pervasive phenomena in the history of science is the development of independent disciplines from the solution or attempted solutions of problems in other areas of science. In the Twentieth Century, the creation of specialties witqin the sciences has accelerated to the point where a large number of scientists in any major branch of science cannot understand the work of a colleague in another subdiscipline of his own science. Despite this fragmentation, the development of techniques or solutions of problems in one area very often contribute fundamentally to solutions of problems in a seemingly unrelated field. Therefore, an examination of this phenomenon of the formation of independent disciplines within the sciences would contrib ute to the understanding of their evolution in modern times. We believe that in this context the history of combinatorial group theory in the late Nineteenth Century and the Twentieth Century can be used effectively as a case study. It is a reasonably welldefined independent specialty, and yet it is closely related to other mathematical disciplines. The fact that combinatorial group theory has, so far, not been influenced by the practical needs of science and technology makes it possible for us to use combinatorial group theory to exhibit the role of the intellectual aspects of the development of mathematics in a clearcut manner. There are other features of combinatorial group theory which appear to make it a reasona ble choice as the object of a historical study
15 editions published in 1982 in English and Italian and held by 475 WorldCat member libraries worldwide
One of the pervasive phenomena in the history of science is the development of independent disciplines from the solution or attempted solutions of problems in other areas of science. In the Twentieth Century, the creation of specialties witqin the sciences has accelerated to the point where a large number of scientists in any major branch of science cannot understand the work of a colleague in another subdiscipline of his own science. Despite this fragmentation, the development of techniques or solutions of problems in one area very often contribute fundamentally to solutions of problems in a seemingly unrelated field. Therefore, an examination of this phenomenon of the formation of independent disciplines within the sciences would contrib ute to the understanding of their evolution in modern times. We believe that in this context the history of combinatorial group theory in the late Nineteenth Century and the Twentieth Century can be used effectively as a case study. It is a reasonably welldefined independent specialty, and yet it is closely related to other mathematical disciplines. The fact that combinatorial group theory has, so far, not been influenced by the practical needs of science and technology makes it possible for us to use combinatorial group theory to exhibit the role of the intellectual aspects of the development of mathematics in a clearcut manner. There are other features of combinatorial group theory which appear to make it a reasona ble choice as the object of a historical study
Anwendung der elliptischen Funktionen in Physik und Technik by
Fritz Oberhettinger(
Book
)
22 editions published between 1949 and 2013 in 4 languages and held by 309 WorldCat member libraries worldwide
22 editions published between 1949 and 2013 in 4 languages and held by 309 WorldCat member libraries worldwide
Wilhelm Magnus, collected papers by
Wilhelm Magnus(
Book
)
7 editions published in 1984 in English and German and held by 259 WorldCat member libraries worldwide
7 editions published in 1984 in English and German and held by 259 WorldCat member libraries worldwide
Discrete groups by
Wilhelm Magnus(
Book
)
8 editions published in 1952 in English and Undetermined and held by 105 WorldCat member libraries worldwide
8 editions published in 1952 in English and Undetermined and held by 105 WorldCat member libraries worldwide
Higher transcendental functions by
Bateman Manuscript Project(
Book
)
7 editions published between 1953 and 1981 in English and Undetermined and held by 45 WorldCat member libraries worldwide
7 editions published between 1953 and 1981 in English and Undetermined and held by 45 WorldCat member libraries worldwide
Rational representations of Fuchsian groups and nonparabolic subgroups of the modular group by
Wilhelm Magnus(
Book
)
3 editions published in 1973 in English and German and held by 42 WorldCat member libraries worldwide
3 editions published in 1973 in English and German and held by 42 WorldCat member libraries worldwide
Two generator subgroups of PSL (2, c) by
Wilhelm Magnus(
Book
)
5 editions published in 1975 in English and German and held by 34 WorldCat member libraries worldwide
5 editions published in 1975 in English and German and held by 34 WorldCat member libraries worldwide
Higher transcendental functions by
Harry Bateman(
Book
)
4 editions published in 1953 in Undetermined and English and held by 33 WorldCat member libraries worldwide
4 editions published in 1953 in Undetermined and English and held by 33 WorldCat member libraries worldwide
Qun ji qi dian xian tu by Ge luo si man(
Book
)
1 edition published in 2007 in Chinese and held by 16 WorldCat member libraries worldwide
1 edition published in 2007 in Chinese and held by 16 WorldCat member libraries worldwide
Tables of integral transforms by
Wilhelm Magnus(
Book
)
2 editions published in 1954 in Undetermined and English and held by 16 WorldCat member libraries worldwide
2 editions published in 1954 in Undetermined and English and held by 16 WorldCat member libraries worldwide
Linear groups : with an exposition of the Galois field theory by
Leonard E Dickson(
Book
)
7 editions published between 1953 and 2003 in English and held by 14 WorldCat member libraries worldwide
7 editions published between 1953 and 2003 in English and held by 14 WorldCat member libraries worldwide
Kombinatornaja teorija grupp : predstavlenie grupp v terminach obrazujus̆c̆ich i sootnos̆enij by
Wilhelm Magnus(
Book
)
5 editions published in 1974 in Russian and held by 14 WorldCat member libraries worldwide
5 editions published in 1974 in Russian and held by 14 WorldCat member libraries worldwide
Über unendliche diskontinuierliche Gruppen mit einer definierenden Relation <der Freiheitssatz> by
Wilhelm Magnus(
Book
)
4 editions published in 1930 in German and Undetermined and held by 12 WorldCat member libraries worldwide
4 editions published in 1930 in German and Undetermined and held by 12 WorldCat member libraries worldwide
Hill's equation by
Wilhelm Magnus(
Book
)
4 editions published between 1966 and 2013 in English and held by 3 WorldCat member libraries worldwide
Title Page; Copyright Page; PREFACE TO THE DOVER EDITION; PREFACE TO THE FIRST EDITION; Table of Contents; PART I  GENERAL THEORY; I  Basic Concepts; 1.1. Preliminary remarks; 1.2. Floquet's theorem; 1.3. The symmetric case Q(x) = Q(x); II  Characteristic Values and Discriminant in the Real Case; 2.1. Characteristic values and intervals of stability; 2.2. Analytic properties of the discriminant; 2.3. Infinite determinants; 2.4. Asymptotic behavior of the characteristic values; 2.5. Basic results from the general theory of linear differential equations
4 editions published between 1966 and 2013 in English and held by 3 WorldCat member libraries worldwide
Title Page; Copyright Page; PREFACE TO THE DOVER EDITION; PREFACE TO THE FIRST EDITION; Table of Contents; PART I  GENERAL THEORY; I  Basic Concepts; 1.1. Preliminary remarks; 1.2. Floquet's theorem; 1.3. The symmetric case Q(x) = Q(x); II  Characteristic Values and Discriminant in the Real Case; 2.1. Characteristic values and intervals of stability; 2.2. Analytic properties of the discriminant; 2.3. Infinite determinants; 2.4. Asymptotic behavior of the characteristic values; 2.5. Basic results from the general theory of linear differential equations
Stories about sets by
N. I︠A︡ Vilenkin(
Book
)
2 editions published in 2014 in English and held by 1 WorldCat member library worldwide
2 editions published in 2014 in English and held by 1 WorldCat member library worldwide
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Related Identities
 Grossman, Israel 19092006 Author
 Oberhettinger, Fritz Author Editor
 Solitar, Donald Other
 Karrass, Abraham Other
 Chandler, Bruce 1931 Author Editor
 Winkler, Stanley Author
 Soni, Raj Pal
 Grosman, Yiśraʼel Author
 Baumslag, Gilbert Editor
 Erdélyi, Arthur Author Editor
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Associated Subjects
Combinatorial group theory Differential equations Differential equations, Linear Discontinuous groups Elliptic functions Equations, Theory of Functions, Special Galois theory Geometry, NonEuclidean Graph theory Group theory Hill's equation Integral transforms Laudatory poetry, Latin (Medieval and modern) Linear algebraic groups Mathematics Matrices Modular groups Physics Presentations of groups (Mathematics) Representations of groups Set theory Tessellations (Mathematics) Topological groups Transcendental functions Universität Jena
Alternative Names
Hans Heinrich Wilhelm Magnus deutscher Mathematiker
Hans Heinrich Wilhelm Magnus Duits wiskundige
Hans Heinrich Wilhelm Magnus mathématicien allemand
Hans Heinrich Wilhelm Magnus tysk matematikar
Hans Heinrich Wilhelm Magnus tysk matematiker
Magnus, V.
Magnus, V. 19071990
Magnus, W.
Wilhelm Magnus GermanAmerican mathematician
Wilhelm Magnus matemático alemão
Магнус, Вильгельм.
וילהלם מגנוס
ویلهلم ماگنوس ریاضیدان آلمانی
マグナス, W
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