It takes the average reader 1 hour and 11 minutes to read Symmetry Problems by Alexander G. Ramm
Assuming a reading speed of 250 words per minute. Learn more
This book gives a necessary and sufficient condition in terms of the scattering amplitude for a scatterer to be spherically symmetric. By a scatterer we mean a potential or an obstacle. It also gives necessary and sufficient conditions for a domain to be a ball if an overdetermined boundary problem for the Helmholtz equation in this domain is solvable. This includes a proof of Schiffer's conjecture, the solution to the Pompeiu problem, and other symmetry problems for partial differential equations. It goes on to study some other symmetry problems related to the potential theory. Among these...
Symmetry Problems by Alexander G. Ramm is 71 pages long, and a total of 17,821 words.
This makes it 24% the length of the average book. It also has 22% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 1 hour and 37 minutes to read Symmetry Problems aloud.
Symmetry Problems is suitable for students ages 8 and up.
Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.
When deciding what to show young students always use your best judgement and consult a professional.
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