Linear groups with an exposition of the Galois Field Theory by Leonard Eugene Dickson. With an introduction by Wilhelm Magnus. (= Reihe: Dover Books on Advanced Mathematics).

Beschreibung

Kartonierte fadengeheftete Broschur mit Rücken- und Deckeltitel und bedruckten Innendeckeln. Der Einband nachgedunkelt und -wie die Schnitte- etwas (rand-) berieben, Schnitte und Papier altersgemäß nachgedunkelt, ansonsten guter Erhaltungszustand. "Mathematicians will welcome this new edition of L. E. Dickson's LINEAR GROUPS. Long unavailable, Dickson's work is recognized as the classic exposition of the theory of groups, written by a mathematician who himself made incalculable contributions to this increasingly important branch of abstract algebra. ln his introduction to this new edition, Wilhelm Magnus calls it a "milestone in the development of modern algebra." LINEAR GROUPS is now well within the range of the graduate student, and is particularly valuable in view of the modern applications of group theory which have given this formerly obscure area of investigation a central place in pure mathematics. These applications include the theory of the solvability of equations, theory of differential equations, complex number systems, and-preeminently-the foundations of geometry, where Euclidean or parabolic geometry, elliptic geometry, and hyperbolic geometry, corresponding to zero, positive, or negative curvature respectively, can be completely characterized by groups. LINEAR GROUPS is divided into two parts. The first part contains the most extensive and thorough presentation of the theory of Galois Fields available in the literature, and is especially valuable for its enormous wealth of examples and theorems. The second part is a comprehensive discussion of linear groups in a Galois Field, and contains a survey of the known simple groups of finite composite order. Dickson provides an incredible wealth of detail about the groups he studies-groups which are interesting as individuals as well as members of an important system. Much of the material he provides cannot be obtained elsewhere without great difficulty. Historical introduction by Wilhelm Magnus." (Verlagstext) Leonard Eugene Dickson (* 22. Januar 1874 in Independence, Iowa; gestorben 17. Januar 1954 in Harlingen, Texas) war ein US-amerikanischer Mathematiker, der vor allem auf dem Gebiet der Zahlentheorie und der Algebra arbeitete. (Wikipedia) In englischer Sprache. XVI, 312, 15, (1) pages. 8° (137 x 203mm).

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Bibliografische Details

Titel

Linear groups with an exposition of the Galois Field Theory by Leonard Eugene Dickson. With an introduction by Wilhelm Magnus. (= Reihe: Dover Books on Advanced Mathematics).

Verlag

Dover Publications Inc., New York

Erscheinungsjahr

1958

Einband

Softcover

Auflage

New edition.

Zustand

gut

Gewicht

336 Gramm