An Introduction to Riemannian Geometry and the Tensor Calculus PDF Download

Author: Charles Ernest Weatherburn
Publisher: CUP Archive
ISBN:
Category : Calculus of tensors
Languages : en
Pages : 214

View

Book Description

Author: Charles E. Weatherburn
Publisher:
ISBN:
Category :
Languages : en
Pages : 191

View

Book Description

Author: Charles Ernest Weatherburn
Publisher:
ISBN:
Category :
Languages : en
Pages : 0

View

Book Description

Author: Luther Pfahler Eisenhart
Publisher: Princeton University Press
ISBN: 1400877865
Category : Mathematics
Languages : en
Pages : 315

View

Book Description
Book 3 in the Princeton Mathematical Series. Originally published in 1950. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Author: C. E. Weatherburn
Publisher: Cambridge University Press
ISBN: 9780521067522
Category : Mathematics
Languages : en
Pages : 191

View

Book Description
The purpose of this book is to bridge the gap between differential geometry of Euclidean space of three dimensions and the more advanced work on differential geometry of generalised space. The subject is treated with the aid of the Tensor Calculus, which is associated with the names of Ricci and Levi-Civita; and the book provides an introduction both to this calculus and to Riemannian geometry. The geometry of subspaces has been considerably simplified by use of the generalized covariant differentiation introduced by Mayer in 1930, and successfully applied by other mathematicians.

Author: T. J. Willmore
Publisher: Courier Corporation
ISBN: 0486282104
Category : Mathematics
Languages : en
Pages : 336

View

Book Description
This text employs vector methods to explore the classical theory of curves and surfaces. Topics include basic theory of tensor algebra, tensor calculus, calculus of differential forms, and elements of Riemannian geometry. 1959 edition.

Author: Leonor Godinho
Publisher: Springer
ISBN: 3319086669
Category : Mathematics
Languages : en
Pages : 476

View

Book Description
Unlike many other texts on differential geometry, this textbook also offers interesting applications to geometric mechanics and general relativity. The first part is a concise and self-contained introduction to the basics of manifolds, differential forms, metrics and curvature. The second part studies applications to mechanics and relativity including the proofs of the Hawking and Penrose singularity theorems. It can be independently used for one-semester courses in either of these subjects. The main ideas are illustrated and further developed by numerous examples and over 300 exercises. Detailed solutions are provided for many of these exercises, making An Introduction to Riemannian Geometry ideal for self-study.

Author: Nail H. Ibragimov
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110379503
Category : Mathematics
Languages : en
Pages : 197

View

Book Description
This book is based on the experience of teaching the subject by the author in Russia, France, South Africa and Sweden. The author provides students and teachers with an easy to follow textbook spanning a variety of topics on tensors, Riemannian geometry and geometric approach to partial differential equations. Application of approximate transformation groups to the equations of general relativity in the de Sitter space simplifies the subject significantly.

Author: William Munger Boothby
Publisher: Gulf Professional Publishing
ISBN: 9780121160517
Category : Mathematics
Languages : en
Pages : 444

View

Book Description
The second edition of An Introduction to Differentiable Manifolds and Riemannian Geometry, Revised has sold over 6,000 copies since publication in 1986 and this revision will make it even more useful. This is the only book available that is approachable by "beginners" in this subject. It has become an essential introduction to the subject for mathematics students, engineers, physicists, and economists who need to learn how to apply these vital methods. It is also the only book that thoroughly reviews certain areas of advanced calculus that are necessary to understand the subject. Line and surface integrals Divergence and curl of vector fields

Author: Bernhard Riemann
Publisher: Birkhäuser
ISBN: 3319260421
Category : Mathematics
Languages : en
Pages : 172

View

Book Description
This book presents William Clifford’s English translation of Bernhard Riemann’s classic text together with detailed mathematical, historical and philosophical commentary. The basic concepts and ideas, as well as their mathematical background, are provided, putting Riemann’s reasoning into the more general and systematic perspective achieved by later mathematicians and physicists (including Helmholtz, Ricci, Weyl, and Einstein) on the basis of his seminal ideas. Following a historical introduction that positions Riemann’s work in the context of his times, the history of the concept of space in philosophy, physics and mathematics is systematically presented. A subsequent chapter on the reception and influence of the text accompanies the reader from Riemann’s times to contemporary research. Not only mathematicians and historians of the mathematical sciences, but also readers from other disciplines or those with an interest in physics or philosophy will find this work both appealing and insightful.