Listing 1 - 8 of 8 |
Sort by
|
Choose an application
In this book the theory of binary systems is considered as a part of group theory and, in particular, within the framework of Lie groups. The novelty is the consequent treatment of topological and differentiable loops as topological and differentiable sections in Lie groups. The interplay of methods and tools from group theory, differential geometry and topology, symmetric spaces, topological geometry, and the theory of foliations is what gives a special flavour to the results presented in this book. It is the first monograph devoted to the study of global loops. So far books on differentiable loops deal with local loops only. This theory can only be used partially for the theory of global loops since non-associative local structures have, in general, no global forms. The text is addressed to researchers in non-associative algebra and foundations of geometry. It should prove enlightening to a broad range of readers, including mathematicians working in group theory, the theory of Lie groups, in differential and topological geometry, and in algebraic groups. The authors have produced a text that is suitable not only for a graduate course, but also for selfstudy in the subjectby interested graduate students. Moreover, the material presented can be used for lectures and seminars in algebra, topological algebra and geometry.
Choose an application
Choose an application
Choose an application
Geometry, Projective --- Congresses --- Staudt, Karl Georg Christian von, --- -Projective geometry --- Geometry, Modern --- Staudt, Karl Georg Christian von --- Congresses. --- -Congresses --- Projective geometry --- Staudt, Georg Karl Christian von, --- Von Staudt, Karl Georg Christian, --- Staudt, Carl, --- Géometrie projective --- Géometrie --- Geometry, Projective - Congresses --- Staudt, Karl Georg Christian von, - 1798-1867
Choose an application
Faszinierender Brückenschlag zwischen Zahlentheorie und Analysis In ";Größen und Zahlen"; gelingt durch die Verbindung der Pro-portionenlehre des Eudoxos mit den dedekindschen Schnitten ein faszinierender Brückenschlag zwischen der Zahlentheorie und der Analysis. Die Konstruktion ermöglicht einen unmittelbaren Zugang zu den Logarithmen bzw. den Exponentialfunktionen. Angereichert mit geschichtlichen Verweisen und gelegentlichen Anekdoten bietet das Buch viele überraschende Einblicke und ermöglicht ein außerordentlich klares Verständnis dieser fundamentalen mathematischen Funktionen. Das Buch entstammt dem Nachlass des begnadeten Pädagogen Heinz Lüneburg und wird herausgegeben von Theo Grundhöfer, Karl Strambach sowie Huberta Lausch. Es setzt Vertrautheit mit der mathematischen Sprache und mit den Grundlagen von Analysis und Zahlentheorie voraus. Der Titel richtet sich in erster Linie an Studierende der Mathematik, aber auch der Informatik, Natur- und Ingenieurwissen-schaften.
Number theory. --- Number study --- Numbers, Theory of --- Algebra
Choose an application
Group theory --- Ordered algebraic structures --- Topological groups. Lie groups --- Geometry --- algebra --- landmeetkunde --- topologie (wiskunde) --- wiskunde
Choose an application
514.16 --- Geometry --- -Rings (Algebra) --- -Mathematics --- Euclid's Elements --- Geometries over algebras --- Congresses --- Rings (Algebra) --- Congresses. --- -Geometries over algebras --- 514.16 Geometries over algebras --- -514.16 Geometries over algebras --- Ringen [Algebra]. (Congres) --- Algèbre. (Congrès) --- Anneaux ûAlgèbre]. (Congrès) --- Meetkunde. (Congres) --- Algèbres associatives --- Géométrie algébrique --- Géométrie différentielle non commutative
Choose an application
Algebraic groups are treated in this volume from a group theoretical point of view and the obtained results are compared with the analogous issues in the theory of Lie groups. The main body of the text is devoted to a classification of algebraic groups and Lie groups having only few subgroups or few factor groups of different type. In particular, the diversity of the nature of algebraic groups over fields of positive characteristic and over fields of characteristic zero is emphasized. This is revealed by the plethora of three-dimensional unipotent algebraic groups over a perfect field of positive characteristic, as well as, by many concrete examples which cover an area systematically. In the final section, algebraic groups and Lie groups having many closed normal subgroups are determined.
Group theory --- Ordered algebraic structures --- Topological groups. Lie groups --- Geometry --- algebra --- landmeetkunde --- topologie (wiskunde) --- wiskunde
Listing 1 - 8 of 8 |
Sort by
|