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Sillyboy
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Please introduce me a good book for my self_study of tensor analysis and group theory.
I am a sophermore preparing to self-study them!
I am a sophermore preparing to self-study them!
thank you for your reply so much!xepma said:What's the 'aim' of your self-study? Mathematics or physics? Or some other form of applied math?
If it's aimed at applying it to physics, then I can recommend Groups, Representations and Physics by Jones,
http://www.amazon.com/dp/0750305045/?tag=pfamazon01-20
as a nice intro into group theory. As for tensor analysis I suggest this thread here:
https://www.physicsforums.com/showthread.php?t=350943
Tensor analysis is a mathematical tool used to study the properties and transformations of geometric objects, such as vectors and matrices. Group theory is a branch of mathematics that deals with the study of symmetry and the ways in which objects can be transformed without changing their essential properties.
Tensor analysis is essential in many fields of science, including physics, engineering, and computer science. It allows scientists to model and analyze complex systems and phenomena, such as fluid flow, electromagnetic fields, and molecular structures.
Tensor analysis and group theory have numerous practical applications, such as in image and signal processing, machine learning, and computer graphics. They are also used in the study of general relativity and quantum mechanics.
Yes, there are several books that are commonly recommended for studying tensor analysis and group theory. Some popular choices include "Introduction to Tensor Analysis and the Calculus of Moving Surfaces" by Pavel Grinfeld and "Symmetry and the Standard Model: Mathematics and Particle Physics" by Matthew Robinson.
A basic understanding of linear algebra and calculus is necessary to study tensor analysis and group theory. However, with dedication and practice, anyone can learn these concepts and their applications in various fields of science.