Books on mathematical problems

In summary, the conversation suggests that the individual is looking for books specifically about mathematical problems and solutions in General Relativity, and the addition of General Relativity to Quantum mechanics and string theory. They are also seeking information on when and where these equations break down and become infinite. A book on renormalization theory is recommended, as well as the Wheeler DeWitt equation. The books "Renormalization" by J. Collins and Kiefer's book are suggested, with the latter currently on sale at Oxford University Press. Thiemann's book is also mentioned and has recently dropped in price on Amazon.
  • #1
kurt.physics
258
0
Hello,

Is there any books just about the mathematical problems and problems needed to be solved in General Relativity, Adding General Relativity to Quantum mechanics and string theory. i.e. more on when and where in the equations they break down and infinitise
 
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  • #2
Read a book on renormalization theory. That will let you know why the perturbative approach to quantum gravity didn't work, and look at the Wheeler DeWitt equation that will let you know why the non perturbative approach didn't work.
 
  • #3
Jim Kata said:
Read a book on renormalization theory. That will let you know why the perturbative approach to quantum gravity didn't work, and look at the Wheeler DeWitt equation that will let you know why the non perturbative approach didn't work.

Is there any specific book on renormalization theory which would be recommended? I have been trying to understand renormalization from material online for some time and I have to admit I still don't really "get" what it is [mathematically].
 
  • #4
Check out ''Renormalization'', by J. Collins.
 
  • #6
Kiefer's book 75% off at oxford u p!

http://www.oup.com/uk/catalogue/?ci=9780198506874&view=00&promo=white75&salepage=%2Fsale%2F2008%2Fphysics%2F

Edit: in that edition -- 318 pages, 20 May 2004; there is another with 376 pages; 22 February 2007 edition without discount... I don't know the differences between both...
 
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FAQ: Books on mathematical problems

What types of mathematical problems are typically covered in books on mathematical problems?

Books on mathematical problems cover a wide range of problem-solving techniques and concepts in various branches of mathematics, such as algebra, geometry, calculus, and statistics. These problems can vary in difficulty level and can involve both theoretical and practical applications.

Are these books suitable for beginners or are they geared towards more advanced mathematicians?

It depends on the specific book and its intended audience. Some books on mathematical problems are designed for beginners and provide a gentle introduction to different types of problems, while others are more advanced and assume some prior knowledge in mathematics.

Do these books also provide solutions to the problems or just the problems themselves?

Most books on mathematical problems provide both the problems and their solutions. However, some books may only present the problems and leave it up to the reader to find the solutions, while others may only provide solutions to selected problems.

Can these books be used for self-study or are they better suited for classroom use?

Books on mathematical problems can be used for both self-study and classroom use. However, depending on the level of difficulty and the amount of guidance provided, some books may be better suited for one or the other. It is important to carefully choose a book that aligns with your learning style and goals.

Are there any specific skills or knowledge that I should have before studying from a book on mathematical problems?

Some books on mathematical problems may require a certain level of mathematical understanding and proficiency in order to fully comprehend and solve the problems. It is recommended to have a strong foundation in basic mathematical concepts before delving into more advanced problems.

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