How to start with Reinmann geometry

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In summary: If you want to study Riemannian geometry in-depth, you will need to have a solid foundation in calculus, linear algebra, and multivariable calculus.
  • #1
SHIVANSH VERMA
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HI , i am having a problem in reinmann geometry as i am not able to cope up with the language used in
"introduction to reinmann geometry-with applications in mechanics ang relativity".Can anyone suggest an easy to go with book, for a beginner for self study
 
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  • #2
A good start is to get the name Riemann geometry correctly.

Apart from that, you will need a solid foundation in linear algebra and multivariable calculus.
 
  • #4
SHIVANSH VERMA said:
HI , i am having a problem in reinmann geometry as i am not able to cope up with the language used in
"introduction to reinmann geometry-with applications in mechanics ang relativity".Can anyone suggest an easy to go with book, for a beginner for self study
How are we supposed to answer this if you're not giving us any clue of your current knowledge in math and physics? Nor did you tell us whether you want a book that is rigorous or just a book "for physicists".
 
  • #5
Understand the calculus on manifolds. I think this is , basically , advanced multivariable calculus. For a start , try to figure out how to compute the curvature of a curve , then move to surfaces on three-dimenional Euclidean space. You should master this machinery given enough time. I can't recommend any textbooks though because you did not provide enough details about what exactly you're trying to do.
 
  • #6
sorry to reply very late, i have just completed 12th standard and am very curious to know GR and SR. i hv some knowledge of calculus(excluding integration in two variable,partial differential equations,...).I know very little about tensors and vector field. can u guide me how to proceed? plsreply at the earliest.
 
  • #7
I want to do majors in physics, and am very curious about GR. Pls guide me how to proceed as i am just a beginner and know very little about
manifolds,tensors,...
 
  • #8
I am sorry, you do not have the prerequisites to study Riemannian geometry. I have already given you information on what subjects you need to master first in post #2.
 
  • #9
Orodruin said:
I am sorry, you do not have the prerequisites to study Riemannian geometry. I have already given you information on what subjects you need to master first in post #2.
which book should i refer for multivariable calculus ?
 
  • #10
and please tell me what are prerequisities to study riemannian geometry apart from algebra and multivariable calculus.
 
  • #11
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FAQ: How to start with Reinmann geometry

What is Reinmann geometry?

Reinmann geometry is a branch of mathematics that studies the properties and relationships of geometric spaces using a metric tensor. It is named after mathematician Georg Friedrich Bernhard Riemann and is a fundamental tool in the study of curved spaces.

How is Reinmann geometry different from Euclidean geometry?

Reinmann geometry is different from Euclidean geometry because it allows for curved spaces, while Euclidean geometry only deals with flat, two-dimensional surfaces. Additionally, Reinmann geometry uses a metric tensor to define distance and angles, whereas Euclidean geometry uses the Pythagorean theorem.

What are the applications of Reinmann geometry?

Reinmann geometry has various applications in physics, particularly in the study of general relativity and gravity. It is also used in computer graphics, navigation systems, and other fields that involve the analysis of curved spaces.

What are some key concepts in Reinmann geometry?

Some key concepts in Reinmann geometry include manifolds, which are abstract spaces that can be curved, and the metric tensor, which is used to measure distance and angles in these spaces. Other important concepts include geodesics, curvature, and the Riemann curvature tensor.

How can I get started with learning Reinmann geometry?

To get started with learning Reinmann geometry, it is recommended to have a strong foundation in linear algebra and multivariable calculus. From there, you can begin by studying the basic concepts and principles of Reinmann geometry, such as manifolds, curvature, and the metric tensor. It is also helpful to practice solving problems and working through examples to gain a deeper understanding of the subject.

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