eBook - ePub
Tensors and Riemannian Geometry
Nail H. Ibragimov, Higher Education Press
This is a test
Share book
- 197 pages
- English
- ePUB (mobile friendly)
- Available on iOS & Android
eBook - ePub
Tensors and Riemannian Geometry
Nail H. Ibragimov, Higher Education Press
Book details
Book preview
Table of contents
Citations
About This Book
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.
Frequently asked questions
How do I cancel my subscription?
Can/how do I download books?
At the moment all of our mobile-responsive ePub books are available to download via the app. Most of our PDFs are also available to download and we're working on making the final remaining ones downloadable now. Learn more here.
What is the difference between the pricing plans?
Both plans give you full access to the library and all of Perlegoâs features. The only differences are the price and subscription period: With the annual plan youâll save around 30% compared to 12 months on the monthly plan.
What is Perlego?
We are an online textbook subscription service, where you can get access to an entire online library for less than the price of a single book per month. With over 1 million books across 1000+ topics, weâve got you covered! Learn more here.
Do you support text-to-speech?
Look out for the read-aloud symbol on your next book to see if you can listen to it. The read-aloud tool reads text aloud for you, highlighting the text as it is being read. You can pause it, speed it up and slow it down. Learn more here.
Is Tensors and Riemannian Geometry an online PDF/ePUB?
Yes, you can access Tensors and Riemannian Geometry by Nail H. Ibragimov, Higher Education Press in PDF and/or ePUB format, as well as other popular books in Mathematics & Geometry. We have over one million books available in our catalogue for you to explore.
Information
Part I
Tensors and Riemannian spaces
Tensor calculus has been invented by G. Ricci. He called the new branch of mathematics an absolute differential calculus and developed it during the ten years of 1887â1896. The tensor calculus provides an elegant language, e.g. for presenting the special and general relativity.
The concept of tensors was motivated by development of Riemannian geometry of general manifolds (Riemann, 1854) and by E. B. Christoffelâs transformation theory of quadratic differential forms (Christoffel, 1869). Subsequently, the tensor notation has been generally accepted in differential geometry, continuum mechanics and theory of relativity (see (5)).
The tensor calculus and Riemannian spaces furnish a profound mathematical background for theoretical physics and differential equations of mathematical physics.
Chapter 1 contains a collection of selected formulae from the classical vector calculus and an easy to follow introduction to the index notation used in the present book.
Chapter 2 includes a variety of topics on conservation laws from the basic concepts and examples through to modern developments in this field.
Since the present book is designed for graduate courses in differential equations and mathematical modelling, I provide in Chapter 3 a simple introduction to tensors and Riemannian spaces with emphasis on calculations in local coordinates rather than on the global geometric language.
The concepts of isometric, conformal and generalized motions in Riemannian spaces, given in Chapter 4, are useful in various applications in physics and theory of differential equations.
2323__perlego__...