Collected Mathematical Papers
Vol. 2 IV Multivariate Algebra V Formal Algebra
Published on 8. November 2011
Book
Paperback/Softback
652 pages
978-3-0348-9360-2 (ISBN)
Description
This publication was made possible through a bequest from my beloved late wife. United together in this present collection are those works by the author which have not previously appeared in book form. The following are excepted: Vorlesungen fiber Differential und Integralrechnung (Lectures on Differential and Integral Calculus) Vols 1-3, Birkhauser Verlag, Basel (1965-1968); Aufgabensammlung zur Infinitesimalrechnung (Exercises in Infinitesimal Calculus) Vols 1, 2a, 2b, and 3, Birkhauser Verlag, Basel (1967-1977); two issues from Memorial des Sciences on Conformal Mapping (written together with C. Gattegno), Gauthier-Villars, Paris (1949); Solution of Equations in Euclidean and Banach Spaces, Academic Press, New York (1973); and Stu- dien fiber den Schottkyschen Satz (Studies on Schottky'S Theorem), Wepf & Co., Basel (1931). Where corrections have had to be implemented in the text of certain papers, references to these are made at the conclusion of each paper. In the few instances where this system does not, for technical reasons, seem appropriate, an asterisk in the page margin indicates wherever a correction is necessary and this is then given at the end of the paper.
(There is one exception: the correc- tions to the paper on page 561 are presented on page 722. The works are published in 6 volumes and are arranged under 16 topic headings. Within each heading, the papers are ordered chronologically according to the date of original publication.
(There is one exception: the correc- tions to the paper on page 561 are presented on page 722. The works are published in 6 volumes and are arranged under 16 topic headings. Within each heading, the papers are ordered chronologically according to the date of original publication.
More details
Edition
Softcover reprint of the original 1st ed. 1983
Language
English
Place of publication
Basel
Switzerland
Publishing group
Springer Basel
Target group
Professional and scholarly
Research
Illustrations
652 p.
Dimensions
Height: 244 mm
Width: 170 mm
Thickness: 36 mm
Weight
1114 gr
ISBN-13
978-3-0348-9360-2 (9783034893602)
DOI
10.1007/978-3-0348-9358-9
Schweitzer Classification
Other editions
Additional editions
Book
01/1983
Birkhäuser
€85.55
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Content
IV Multivariate Algebra.- 3 Über die Existenz einer endlichen Basis bei gewissen Funktionensystemen, Math. Ann. 78, 94-119 (1918).- 7 Über eine neue Eigenschaft der Diskriminanten und Resultanten binärer Formen (Felix Klein zum fünfzigjährigen Doktorjubiläum gewidmet), Math. Ann. 79, 360-387 (1919).- 9 Beweis der Irreduzibilität der Diskriminante einer algebraischen Form von mehreren Variablen, Math. Z. 4, 314-319 (1919).- 12 Über die Existenz einer endlichen Basis bei Systemen von Potenzprodukten, Math. Ann. 81, 21-24 (1920).- 20 Auszug aus einem Briefe von A. Ostrowski an L. Bieberbach, Jber. Deutsch. Math.-Verein. 31, 82-85 (1922).- 23 Über ein algebraisches Übertragungsprinzip (Habilitationsschrift), Hamburger Abh. 1, 281-326 (1922).- 24 (Mit I. Schur) Über eine fundamentale Eigenschaft der Invarianten einer allgemeinen binären Form, Math. Z. 15, 81-105 (1922).- 31 Über eine neue Fragestellung in der algebraischen Invariantentheorie (Habilitationsvortrag), Jber. Deutsch. Math.-Verein. 33, 174-184(1924).- 32 Mathematische Miszellen. I. Die Maxwellsche Erzeugung der Kugelfunktion, Jber. Deutsch. Math.-Verein. 33, 245-251 (1925).- 39 Mathematische Miszellen. V. Über eine Erweiterung des Irreduzibilitätsbegriffs und ihre Anwendung auf ein funktionentheoretisches Problem, Jber. Deutsch. Math.-Verein. 35, 91-96 (1926).- 251 On Multiplication and Factorization of Polynomials, I. Lexicographic Orderings and Extreme Aggregates of Terms, Aequa. Math. 13, 201-228 (1975).- 254 On a Theorem by Kronecker (Dedicated to Olga Taussky-Todd) Aequa. Math. 14, 159-166 (1976).- 255 On Multiplication and Factorization of Polynomials, II. Irreduci- bility Discussion, Aequa. Math. 14, 1-32 (1976).- 257 The Irreducibility of the Resultant andConnected Irreducibility Theorems, Arch. d. M. 29, 252-260 (1977).- V Formal Algebra.- 1 Zur Algebra der endlichen Felder (russisch), S.-B. Phys. Math. Ges. Kiew, 1-37 (1913).- 2 Über einige Fragen der allgemeinen Körpertheorie, J.f.d.r. u. angew. Math. 143, 255-284 (1913).- 4 Über einige Lösungen der Funktionalgleichung(?(x) ?(y) = ?(xy) Acta. Math. 41, 271-284 (1918).- 5 Über sogenannte perfekte Körper, J. f. d. r. u. angew. Math. 147, 191-204(1917).- 76 Untersuchungen zur arithmetischen Theorie der Körper (Die Theorie der Teilbarkeit in allgemeinen Körpern), Math. Z. 39, 269-404 (1934).- 78 Bemerkungen über die Struktur von Ringen, die aus Polynomen in einer Variabel bestehen, Acta Arith. 1, 19-42 (1936).- 142 On Two Problems in Abstract Algebra Connected with Horner's Rule, in: Studies in Mathematics and Mechanics Presented to Richard von Mises (Academic Press, New York), 40-48 (1954).- 195 On Some Metrical Properties of Operator Matrices and Matrices Partitioned into Blocks, J. Math. An. Appl. 2, 161-209 (1961).- 197 Iterative Solution of Linear Systems of Functional Equations, J. Math. An. Appl. 2, 351-369 (1961).- 258 Algebraic Closure of Modules, J. f. d. r. u. angew. Math. 295, 120-150(1977).- 259 On Kronecker's Elimination Theory, J. f. d. r. u. angew. Math. 296, 37-57 (1977).- Vol. 1-6.- Collected Mathematical Papers ordered chronologically according to the date of original publication.