On the Hypotheses Which Lie at the Bases of Geometry - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook On the Hypotheses Which Lie at the Bases of Geometry write by Bernhard Riemann. This book was released on 2016-04-19. On the Hypotheses Which Lie at the Bases of Geometry available in PDF, EPUB and Kindle. 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.
An Introduction to Riemannian Geometry
An Introduction to Riemannian Geometry - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook An Introduction to Riemannian Geometry write by Leonor Godinho. This book was released on 2014-07-26. An Introduction to Riemannian Geometry available in PDF, EPUB and Kindle. 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.
Riemannian Geometry of Contact and Symplectic Manifolds
Riemannian Geometry of Contact and Symplectic Manifolds - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Riemannian Geometry of Contact and Symplectic Manifolds write by David E. Blair. This book was released on 2013-11-11. Riemannian Geometry of Contact and Symplectic Manifolds available in PDF, EPUB and Kindle. Book endorsed by the Sunyer Prize Committee (A. Weinstein, J. Oesterle et. al.).
A Panoramic View of Riemannian Geometry
A Panoramic View of Riemannian Geometry - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook A Panoramic View of Riemannian Geometry write by Marcel Berger. This book was released on 2012-12-06. A Panoramic View of Riemannian Geometry available in PDF, EPUB and Kindle. This book introduces readers to the living topics of Riemannian Geometry and details the main results known to date. The results are stated without detailed proofs but the main ideas involved are described, affording the reader a sweeping panoramic view of almost the entirety of the field. From the reviews "The book has intrinsic value for a student as well as for an experienced geometer. Additionally, it is really a compendium in Riemannian Geometry." --MATHEMATICAL REVIEWS
Riemannian Geometry
Riemannian Geometry - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Riemannian Geometry write by Frank Morgan. This book was released on 2009-06-22. Riemannian Geometry available in PDF, EPUB and Kindle. This classic text serves as a tool for self-study; it is also used as a basic text for undergraduate courses in differential geometry. The author's ability to extract the essential elements of the theory in a lucid and concise fashion allows the student easy access to the material and enables the instructor to add emphasis and cover special topics. The extraordinary wealth of examples within the exercises and the new material, ranging from isoperimetric problems to comments on Einstein's original paper on relativity theory, enhance this new edition.
