What do you prefer - road to reality or brief history of time ?

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SUMMARY

The discussion centers on the preference between Stephen Hawking's and Roger Penrose's popular science books, with a strong endorsement for Penrose's "Road to Reality." Participants highlight Penrose's use of mathematics, which enhances understanding and sparks interest in the subject. Additionally, it is noted that while Penrose's book includes exercises, supplementary resources are necessary for readers unfamiliar with advanced concepts like manifolds. Engaging with external materials is essential for a comprehensive grasp of the topics presented.

PREREQUISITES
  • Understanding of basic mathematical concepts
  • Familiarity with advanced topics such as manifolds and Fourier series
  • Ability to conduct independent research using resources like Wikipedia
  • Experience with solving mathematical exercises
NEXT STEPS
  • Explore advanced mathematical concepts relevant to "Road to Reality"
  • Research and practice Fourier series problems online
  • Utilize Wikipedia for supplementary explanations of complex topics
  • Investigate other works by Roger Penrose for deeper insights
USEFUL FOR

Readers interested in popular science, particularly those who appreciate mathematical rigor, including students, educators, and enthusiasts of theoretical physics.

where_the
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I mean to say whose popular sci-books do you like more Stephen Hawking's or Roger Penrose 's ?


I like Penrose as he doesn't shy from using mathematics. So he is likely to present a better picture to the general public. And that may even ignite their interest in mathematics.

Also he states clearly where he is expressing his own views. And what's more there are exercises in his book too.
 
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I like the "Road to Reality". Great book.

Thanks
Matt
 
I am reading Penrose's Road to Reality now. Whilst I do like the fact that, as you say, he doesn't shy away from bringing up all kinds of mathematics, if you've never encountered things like manifolds before, it's virtually impossible to get by reading only the book itself. You'll need to visit Wikipedia a fair amount and do some other research and practice problems. Penrose's book does have problems in it as footnotes, but there generally aren't many for each topic and I would therefore suggest finding rigorous exercises for that particular topic (e.g. Fourier series) online and doing them. It can make a lot of what he says easier to digest.
 

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