differential geometric structures dover books on mathematics

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Differential Geometric Structures

Author : Walter A. Poor
ISBN : 9780486151915
Genre : Mathematics
File Size : 48. 28 MB
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This introductory text defines geometric structure by specifying parallel transport in an appropriate fiber bundle and focusing on simplest cases of linear parallel transport in a vector bundle. 1981 edition.

Differential Geometry

Author : Erwin Kreyszig
ISBN : 0486667219
Genre : Mathematics
File Size : 25. 37 MB
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Text from preface: "This book provides an introduction to the differential geometry of curves and surfaces in three-dimensional Euclidean space"

Differentialgeometrie

Author : Wolfgang Kühnel
ISBN : 9783658006150
Genre : Mathematics
File Size : 40. 89 MB
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Dieses Buch ist eine Einführung in die Differentialgeometrie und ein passender Begleiter zum Differentialgeometrie-Modul (ein- und zweisemestrig). Zunächst geht es um die klassischen Aspekte wie die Geometrie von Kurven und Flächen, bevor dann höherdimensionale Flächen sowie abstrakte Mannigfaltigkeiten betrachtet werden. Die Nahtstelle ist dabei das zentrale Kapitel "Die innere Geometrie von Flächen". Dieses führt den Leser bis hin zu dem berühmten Satz von Gauß-Bonnet, der ein entscheidendes Bindeglied zwischen lokaler und globaler Geometrie darstellt. Die zweite Hälfte des Buches ist der Riemannschen Geometrie gewidmet. Den Abschluss bildet ein Kapitel über "Einstein-Räume", die eine große Bedeutung sowohl in der "Reinen Mathematik" als auch in der Allgemeinen Relativitätstheorie von A. Einstein haben. Es wird großer Wert auf Anschaulichkeit gelegt, was durch zahlreiche Abbildungen unterstützt wird. Bei der Neuauflage wurden einige zusätzliche Lösungen zu den Übungsaufgaben ergänzt.

Der Absolute Differentialkalk L Und Seine Anwendungen In Geometrie Und Physik

Author : Tullio Levi-Civita
ISBN : UOM:39015068293219
Genre : Calculus of tensors
File Size : 76. 89 MB
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Introduction To Differential Geometry For Engineers

Author : Brian F. Doolin
ISBN : 9780486281940
Genre : Mathematics
File Size : 64. 30 MB
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This outstanding guide supplies important mathematical tools for diverse engineering applications, offering engineers the basic concepts and terminology of modern global differential geometry. Suitable for independent study as well as a supplementary text for advanced undergraduate and graduate courses, this volume also constitutes a valuable reference for control, systems, aeronautical, electrical, and mechanical engineers.The treatment's ideas are applied mainly as an introduction to the Lie theory of differential equations and to examine the role of Grassmannians in control systems analysis. Additional topics include the fundamental notions of manifolds, tangent spaces, vector fields, exterior algebra, and Lie algebras. An appendix reviews concepts related to vector calculus, including open and closed sets, compactness, continuity, and derivative.

Galoissche Theorie

Author : Emil Artin
ISBN : UOM:39015015600805
Genre : Galois theory
File Size : 36. 18 MB
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Differential Forms With Applications To The Physical Sciences

Author : Harley Flanders
ISBN : 9780486139616
Genre : Mathematics
File Size : 62. 75 MB
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A graduate-level text utilizing exterior differential forms in the analysis of a variety of mathematical problems in the physical and engineering sciences. Includes 45 illustrations. Index.

The Development Of Mathematics

Author : E. T. Bell
ISBN : 9780486152288
Genre : Mathematics
File Size : 29. 18 MB
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Time-honored study by a prominent scholar of mathematics traces decisive epochs from the evolution of mathematical ideas in ancient Egypt and Babylonia to major breakthroughs in the 19th and 20th centuries. 1945 edition.

Differentialgeometrie Von Kurven Und Fl Chen

Author : Manfredo P. do Carmo
ISBN : 9783322850720
Genre : Technology & Engineering
File Size : 85. 7 MB
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Inhalt: Kurven - Reguläre Flächen - Die Geometrie der Gauß-Abbildung - Die innere Geometrie von Flächen - Anhang

Differential Manifolds

Author : Antoni A. Kosinski
ISBN : 9780486318158
Genre : Mathematics
File Size : 88. 11 MB
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Introductory text for advanced undergraduates and graduate students presents systematic study of the topological structure of smooth manifolds, starting with elements of theory and concluding with method of surgery. 1993 edition.

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