Author: Georg Scheffers
Publisher:
ISBN:
Category :
Languages : de
Pages :
Book Description
Anwendung der Differential- und Integralrechnung auf Geometrie
Differential and Riemannian Geometry
Author: Detlef Laugwitz
Publisher: Academic Press
ISBN: 1483263983
Category : Mathematics
Languages : en
Pages : 251
Book Description
Differential and Riemannian Geometry focuses on the methodologies, calculations, applications, and approaches involved in differential and Riemannian geometry. The book first offers information on local differential geometry of space curves and surfaces and tensor calculus and Riemannian geometry. Discussions focus on tensor algebra and analysis, concept of a differentiable manifold, geometry of a space with affine connection, intrinsic geometry of surfaces, curvature of surfaces, and surfaces and curves on surfaces. The manuscript then examines further development and applications of Riemannian geometry and selections from differential geometry in the large, including curves and surfaces in the large, spaces of constant curvature and non-Euclidean geometry, Riemannian spaces and analytical dynamics, and metric differential geometry and characterizations of Riemannian geometry. The publication elaborates on prerequisite theorems of analysis, as well as the existence and uniqueness theorem for ordinary first-order differential equations and systems of equations and integrability theory for systems of first-order partial differential equations. The book is a valuable reference for researchers interested in differential and Riemannian geometry.
Publisher: Academic Press
ISBN: 1483263983
Category : Mathematics
Languages : en
Pages : 251
Book Description
Differential and Riemannian Geometry focuses on the methodologies, calculations, applications, and approaches involved in differential and Riemannian geometry. The book first offers information on local differential geometry of space curves and surfaces and tensor calculus and Riemannian geometry. Discussions focus on tensor algebra and analysis, concept of a differentiable manifold, geometry of a space with affine connection, intrinsic geometry of surfaces, curvature of surfaces, and surfaces and curves on surfaces. The manuscript then examines further development and applications of Riemannian geometry and selections from differential geometry in the large, including curves and surfaces in the large, spaces of constant curvature and non-Euclidean geometry, Riemannian spaces and analytical dynamics, and metric differential geometry and characterizations of Riemannian geometry. The publication elaborates on prerequisite theorems of analysis, as well as the existence and uniqueness theorem for ordinary first-order differential equations and systems of equations and integrability theory for systems of first-order partial differential equations. The book is a valuable reference for researchers interested in differential and Riemannian geometry.
Lectures on Classical Differential Geometry
Author: Dirk J. Struik
Publisher: Courier Corporation
ISBN: 0486138186
Category : Mathematics
Languages : en
Pages : 254
Book Description
Elementary, yet authoritative and scholarly, this book offers an excellent brief introduction to the classical theory of differential geometry. It is aimed at advanced undergraduate and graduate students who will find it not only highly readable but replete with illustrations carefully selected to help stimulate the student's visual understanding of geometry. The text features an abundance of problems, most of which are simple enough for class use, and often convey an interesting geometrical fact. A selection of more difficult problems has been included to challenge the ambitious student. Written by a noted mathematician and historian of mathematics, this volume presents the fundamental conceptions of the theory of curves and surfaces and applies them to a number of examples. Dr. Struik has enhanced the treatment with copious historical, biographical, and bibliographical references that place the theory in context and encourage the student to consult original sources and discover additional important ideas there. For this second edition, Professor Struik made some corrections and added an appendix with a sketch of the application of Cartan's method of Pfaffians to curve and surface theory. The result was to further increase the merit of this stimulating, thought-provoking text — ideal for classroom use, but also perfectly suited for self-study. In this attractive, inexpensive paperback edition, it belongs in the library of any mathematician or student of mathematics interested in differential geometry.
Publisher: Courier Corporation
ISBN: 0486138186
Category : Mathematics
Languages : en
Pages : 254
Book Description
Elementary, yet authoritative and scholarly, this book offers an excellent brief introduction to the classical theory of differential geometry. It is aimed at advanced undergraduate and graduate students who will find it not only highly readable but replete with illustrations carefully selected to help stimulate the student's visual understanding of geometry. The text features an abundance of problems, most of which are simple enough for class use, and often convey an interesting geometrical fact. A selection of more difficult problems has been included to challenge the ambitious student. Written by a noted mathematician and historian of mathematics, this volume presents the fundamental conceptions of the theory of curves and surfaces and applies them to a number of examples. Dr. Struik has enhanced the treatment with copious historical, biographical, and bibliographical references that place the theory in context and encourage the student to consult original sources and discover additional important ideas there. For this second edition, Professor Struik made some corrections and added an appendix with a sketch of the application of Cartan's method of Pfaffians to curve and surface theory. The result was to further increase the merit of this stimulating, thought-provoking text — ideal for classroom use, but also perfectly suited for self-study. In this attractive, inexpensive paperback edition, it belongs in the library of any mathematician or student of mathematics interested in differential geometry.
Anwendung der Differential- und Integralrechnung auf Geometrie. 1
Anwendung der Differential- und Integralrechnung auf Geometrie: Bd. Einführung in die Theorie der Flächen
Author: Georg Scheffers
Publisher:
ISBN:
Category : Curves
Languages : de
Pages : 538
Book Description
Publisher:
ISBN:
Category : Curves
Languages : de
Pages : 538
Book Description
Anwendung der Differential- und Integralrechnung auf Geometrie
Author: Georg Scheffers
Publisher:
ISBN:
Category : Calculus
Languages : de
Pages : 906
Book Description
Publisher:
ISBN:
Category : Calculus
Languages : de
Pages : 906
Book Description
Anwendung der Differential- und Integralrechnung auf Geometrie: Bd. Einführung in die Theorie der Kurven in der Ebene und im Raume
Author: Georg Scheffers
Publisher:
ISBN:
Category : Curves
Languages : de
Pages : 382
Book Description
Publisher:
ISBN:
Category : Curves
Languages : de
Pages : 382
Book Description
Die Differential- und Integralrechnung und deren Anwendung auf die Geometrie der Ebene
A Treatise on the Differential Geometry of Curves and Surfaces
Author: Luther Pfahler Eisenhart
Publisher: Courier Corporation
ISBN: 0486159469
Category : Mathematics
Languages : en
Pages : 496
Book Description
Created especially for graduate students by a leading writer on mathematics, this introduction to the geometry of curves and surfaces concentrates on problems that students will find most helpful.
Publisher: Courier Corporation
ISBN: 0486159469
Category : Mathematics
Languages : en
Pages : 496
Book Description
Created especially for graduate students by a leading writer on mathematics, this introduction to the geometry of curves and surfaces concentrates on problems that students will find most helpful.
Anwendung Der Differential- Und Integralrechnung Auf Geometrie
Author: Georg Scheffers
Publisher: Nabu Press
ISBN: 9781289529826
Category :
Languages : en
Pages : 536
Book Description
This is a reproduction of a book published before 1923. This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process. We believe this work is culturally important, and despite the imperfections, have elected to bring it back into print as part of our continuing commitment to the preservation of printed works worldwide. We appreciate your understanding of the imperfections in the preservation process, and hope you enjoy this valuable book.
Publisher: Nabu Press
ISBN: 9781289529826
Category :
Languages : en
Pages : 536
Book Description
This is a reproduction of a book published before 1923. This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process. We believe this work is culturally important, and despite the imperfections, have elected to bring it back into print as part of our continuing commitment to the preservation of printed works worldwide. We appreciate your understanding of the imperfections in the preservation process, and hope you enjoy this valuable book.