Differential Forms and the Geometry of General Relativity - 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 Differential Forms and the Geometry of General Relativity write by Tevian Dray. This book was released on 2014-10-20. Differential Forms and the Geometry of General Relativity available in PDF, EPUB and Kindle. Differential Forms and the Geometry of General Relativity provides readers with a coherent path to understanding relativity. Requiring little more than calculus and some linear algebra, it helps readers learn just enough differential geometry to grasp the basics of general relativity. The book contains two intertwined but distinct halves. Designed for advanced undergraduate or beginning graduate students in mathematics or physics, most of the text requires little more than familiarity with calculus and linear algebra. The first half presents an introduction to general relativity that describes some of the surprising implications of relativity without introducing more formalism than necessary. This nonstandard approach uses differential forms rather than tensor calculus and minimizes the use of "index gymnastics" as much as possible. The second half of the book takes a more detailed look at the mathematics of differential forms. It covers the theory behind the mathematics used in the first half by emphasizing a conceptual understanding instead of formal proofs. The book provides a language to describe curvature, the key geometric idea in general relativity.
Differential Forms and the Geometry of General Relativity
Differential Forms and the Geometry of General Relativity - 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 Differential Forms and the Geometry of General Relativity write by Tevian Dray. This book was released on 2014-10-20. Differential Forms and the Geometry of General Relativity available in PDF, EPUB and Kindle. Requiring little more than calculus and some linear algebra, this book provides readers with a coherent path to understanding relativity. It helps readers learn just enough differential geometry to grasp the basics of general relativity. The first half of the book describes some of the surprising implications of relativity without introducing more formalism than necessary. The second half takes a more detailed look at the mathematics of differential forms, showing how they are used to describe key geometric ideas in general relativity.
Formulations of General Relativity
Formulations of General Relativity - 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 Formulations of General Relativity write by Kirill Krasnov. This book was released on 2020-11-26. Formulations of General Relativity available in PDF, EPUB and Kindle. Carefully documenting the different formulations of general relativity, the author reveals valuable insight into the nature of the gravitational force and its interaction with matter. This book will interest graduate students and researchers in the fields of general relativity, gravitational physics and differential geometry.
Visual Differential Geometry and Forms
Visual Differential Geometry and Forms - 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 Visual Differential Geometry and Forms write by Tristan Needham. This book was released on 2021-07-13. Visual Differential Geometry and Forms available in PDF, EPUB and Kindle. An inviting, intuitive, and visual exploration of differential geometry and forms Visual Differential Geometry and Forms fulfills two principal goals. In the first four acts, Tristan Needham puts the geometry back into differential geometry. Using 235 hand-drawn diagrams, Needham deploys Newton’s geometrical methods to provide geometrical explanations of the classical results. In the fifth act, he offers the first undergraduate introduction to differential forms that treats advanced topics in an intuitive and geometrical manner. Unique features of the first four acts include: four distinct geometrical proofs of the fundamentally important Global Gauss-Bonnet theorem, providing a stunning link between local geometry and global topology; a simple, geometrical proof of Gauss’s famous Theorema Egregium; a complete geometrical treatment of the Riemann curvature tensor of an n-manifold; and a detailed geometrical treatment of Einstein’s field equation, describing gravity as curved spacetime (General Relativity), together with its implications for gravitational waves, black holes, and cosmology. The final act elucidates such topics as the unification of all the integral theorems of vector calculus; the elegant reformulation of Maxwell’s equations of electromagnetism in terms of 2-forms; de Rham cohomology; differential geometry via Cartan’s method of moving frames; and the calculation of the Riemann tensor using curvature 2-forms. Six of the seven chapters of Act V can be read completely independently from the rest of the book. Requiring only basic calculus and geometry, Visual Differential Geometry and Forms provocatively rethinks the way this important area of mathematics should be considered and taught.
Manifolds, Tensors and Forms
Manifolds, Tensors and Forms - 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 Manifolds, Tensors and Forms write by Paul Renteln. This book was released on 2014. Manifolds, Tensors and Forms available in PDF, EPUB and Kindle. Comprehensive treatment of the essentials of modern differential geometry and topology for graduate students in mathematics and the physical sciences.
