An Introduction to Riemannian Geometry and the Tensor Calculus
Author: Charles Ernest Weatherburn
Publisher: CUP Archive
Published: 1938
Total Pages: 214
ISBN-13:
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An Introduction to Riemannian Geometry and the Tensor Calculus
Author: Charles E. Weatherburn
Publisher:
Published: 1966
Total Pages: 191
ISBN-13:
DOWNLOAD EBOOK →An Introduction to Riemannian Geometry and the Tensor Calculus
Author: Charles Ernest Weatherburn
Publisher:
Published: 1938
Total Pages: 0
ISBN-13:
DOWNLOAD EBOOK →An Introduction to Riemannian Geometry and the Tensor Calculus
Author: C. E. Weatherburn
Publisher: Cambridge University Press
Published: 1938-01-02
Total Pages: 191
ISBN-13: 9780521067522
DOWNLOAD EBOOK →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.
Introduction to Differential Geometry
Author: Luther Pfahler Eisenhart
Publisher: Princeton University Press
Published: 2015-12-08
Total Pages: 315
ISBN-13: 1400877865
DOWNLOAD EBOOK →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.
An Introduction to Differential Geometry
Author: T. J. Willmore
Publisher: Courier Corporation
Published: 2013-05-13
Total Pages: 336
ISBN-13: 0486282104
DOWNLOAD EBOOK →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.
An Introduction to Riemannian Geometry
Author: Leonor Godinho
Publisher: Springer
Published: 2014-07-26
Total Pages: 476
ISBN-13: 3319086669
DOWNLOAD EBOOK →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.
Tensors and Riemannian Geometry
Author: Nail H. Ibragimov
Publisher: Walter de Gruyter GmbH & Co KG
Published: 2015-08-31
Total Pages: 197
ISBN-13: 3110379503
DOWNLOAD EBOOK →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.
Introduction to Differential Geometry and Riemannian Geometry
Author: Erwin Kreyszig
Publisher: University of Toronto Press
Published: 1968-12-15
Total Pages: 382
ISBN-13: 1487591055
DOWNLOAD EBOOK →This book provides an introduction to the differential geometry of curves and surfaces in three-dimensional Euclidean space and to n-dimensional Riemannian geometry. Based on Kreyszig's earlier book Differential Geometry, it is presented in a simple and understandable manner with many examples illustrating the ideas, methods, and results. Among the topics covered are vector and tensor algebra, the theory of surfaces, the formulae of Weingarten and Gauss, geodesics, mappings of surfaces and their applications, and global problems. A thorough investigation of Reimannian manifolds is made, including the theory of hypersurfaces. Interesting problems are provided and complete solutions are given at the end of the book together with a list of the more important formulae. Elementary calculus is the sole prerequisite for the understanding of this detailed and complete study in mathematics.
On the Hypotheses Which Lie at the Bases of Geometry
Author: Bernhard Riemann
Publisher: Birkhäuser
Published: 2016-04-19
Total Pages: 172
ISBN-13: 3319260421
DOWNLOAD EBOOK →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.
