Linear Algebra and Geometry (Algebra, Logic and Applications) - Hardcover
Book 1 of 11: Algebra, Logic and Applications
Synopsis
This advanced textbook on linear algebra and geometry covers a wide range of classical and modern topics. Differing from existing textbooks in approach, the work illustrates the many-sided applications and connections of linear algebra with functional analysis, quantum mechanics and algebraic and differential geometry. The subjects covered in some detail include normed linear spaces, functions of linear operators, the basic structures of quantum mechanics and an introduction to linear programming. Also discussed are Kahler's metic, the theory of Hilbert polynomials, and projective and affine geometries. Unusual in its extensive use of applications in physics to clarify each topic, this comprehensice volume should be of particular interest to advanced undergraduates and graduates in mathematics and physics, and to lecturers in linear and multilinear algebra, linear programming and quantum mechanics.
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About the Author
P. K. Suetin, Alexandra I. Kostrikin, Yu I Manin, both Steklov Institute of Mathematics, USSR Academy of Sciences, Moscow. Translated from the Second Russian Edition by M. E. Alferieff.
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Linear Algebra and Geometry
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New York, NY : Gordon ansd Breach, 1989
ISBN 10: 2881246834
ISBN 13: 9782881246838
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Linear Algebra and Geometry Algebra, Logic and Applications
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Linear Algebra and Geometry. Translated from the Second Russian Edition by M. [Michael] E. Alferieff. (= Reihe: Algebra, Logic and Applications. A Series edited by R. [Rüdiger] Göbel and A. [Angus] Macintyre, Volume 1).
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Gordon and Breach Science Publishers, New York, London, Paris, Montreux, Tokyo, Melbourne, 1988
ISBN 10: 2881246834
ISBN 13: 9782881246838
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Hardcover/gebunden. Condition: gut. Fadengehefteter glanzfolienkaschierter Pappeinband mit Rücken- und Deckeltitel. Einband und Schnitte leicht berieben, der Buchrücken lichtgebleicht, eine Seite mit handschriftlicher Verbesserung, ansonsten guter Erhaltungszustand. "This advanced textbook on linear algebra and geometry covers a wide range of classical and modern topics. Differing from existing textbooks in approach, the work illustrates the many-sided applications and connections of linear algebra with functional analysis, quantum mechanics and algebraic and differential geometry. The subjects covered in some detail include normed linear spaces, functions of linear operators, the basic structures of quantum mechanics and an introduction to linear programming. Also discussed are Kahler's metic, the theory of Hilbert polynomials, and projective and affine geometries. Unusual in its extensive use of applications in physics to clarify each topic, this comprehensice volume should be of particular interest to advanced undergraduates and graduates in mathematics and physics, and to lecturers in linear and multilinear algebra, linear programming and quantum mechanics." (Verlagstext) Alexei Iwanowitsch Kostrikin (* 12. Februar 1929 in Bolschoi Morez, Oblast Wolgograd; gestorben 22. September 2000 in Moskau) war ein russischer Mathematiker, der sich mit Algebra befasste. Kostrikin stammte aus einer Bauernfamilie, besuchte ab 1947 die Staatliche Universität Saratow und ab 1951 aufgrund seiner herausragenden Leistungen die Lomonossow-Universität, wo er 1952 seinen Abschluss machte. Er wurde Student von Igor Schafarewitsch, bei dem er 1956 am Steklow-Institut promoviert wurde (Kandidat der Wissenschaften). Er blieb am Steklow-Institut und wurde außerdem 1963 Professor an der Lomonossow-Universität in der Abteilung Höhere Algebra, die er 1977 bis 2000 leitete. Er schrieb mehrere bekannte Algebra-Lehrbücher und befasste sich in den 1950er Jahren mit dem eingeschränkten Burnside-Problem, wo ihm ein mathematischer Durchbruch und eine Teillösung für prime Exponenten gelang. Vollständig gelöst wurde es 1989 durch Efim Zelmanov. In den 1960er Jahren studierte er Liealgebren über Körpern endlicher Charakteristik und formulierte hier Vermutungen mit Schafarewitsch. 1968 erhielt er den Staatspreis der UdSSR und 1997 den Lomonossowpreis. 1976 wurde er korrespondierendes Mitglied der Sowjetischen Akademie der Wissenschaften. Er war Invited Speaker auf dem Internationalen Mathematikerkongress in Stockholm 1962 (Lie-Algebren und Endliche Gruppen, russisch) und 1970 in Nizza (Variations modulaires sur un thème de Cartan). Yuri Manin (* 16. Februar 1937 in Simferopol, ASSR der Krim, Russische SFSR, Sowjetunion; gestorben 7. Januar 2023) war ein sowjetischer, dann russisch-deutscher Mathematiker und wissenschaftliches Mitglied und Direktor am Max-Planck-Institut für Mathematik in Bonn. Seine Hauptarbeitsgebiete waren Zahlentheorie, Diophantische Geometrie, mathematische Physik und algebraische Geometrie. In den 1960er Jahren bewies er die Mordell-Vermutung für Funktionenkörper. Er schrieb ein Buch über kubische Flächen und Formen ("Cubic Forms"), untersuchte algebraische Flächen über den rationalen Zahlen (z. B. Fano-Varietäten) und zeigte die Rolle der Brauergruppe im Zusammenhang mit Abweichungen von Helmut Hasses Lokal-Global-Prinzip auf. Er arbeitete auch über Modulformen in der Zahlentheorie (p-adische Modulformen) und über die Torsionspunkte elliptischer Kurven. Mit Wassili Alexejewitsch Iskowskich bewies er 1971 am Beispiel glatter quartischer 3-Varietäten (Beispielen von Fano-Varietäten), dass unirationale Varietäten in drei Dimensionen nicht rational sein müssen (ein Gegenbeispiel zum Lüroth-Problem von Jacob Lüroth). (Wikipedia) In englischer Sprache. VIII, (II), 309, (1) pages. Groß 8° (152 x 235mm) First Edition (of the Second Russian Edition). Seller Inventory # BN33178
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Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This advanced textbook on linear algebra and geometry covers a wide range of classical and modern topics. Differing from existing textbooks in approach, the work illustrates the many-sided applications and connections of linear algebra with functional analysis, quantum mechanics and algebraic and differential geometry. The subjects covered in some detail include normed linear spaces, functions of linear operators, the basic structures of quantum mechanics and an introduction to linear programming. Also discussed are Kahler's metic, the theory of Hilbert polynomials, and projective and affine geometries. Unusual in its extensive use of applications in physics to clarify each topic, this comprehensice volume should be of particular interest to advanced undergraduates and graduates in mathematics and physics, and to lecturers in linear and multilinear algebra, linear programming and quantum mechanics. 320 pp. Englisch. Seller Inventory # 9782881246838
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