How Long to Read Functional Inequalities: New Perspectives and New Applications

By Nassif Ghoussoub

How Long Does it Take to Read Functional Inequalities: New Perspectives and New Applications?

It takes the average reader 5 hours and 9 minutes to read Functional Inequalities: New Perspectives and New Applications by Nassif Ghoussoub

Assuming a reading speed of 250 words per minute. Learn more

Description

"The book describes how functional inequalities are often manifestations of natural mathematical structures and physical phenomena, and how a few general principles validate large classes of analytic/geometric inequalities, old and new. This point of view leads to "systematic" approaches for proving the most basic inequalities, but also for improving them, and for devising new ones--sometimes at will and often on demand. These general principles also offer novel ways for estimating best constants and for deciding whether these are attained in appropriate function spaces. As such, improvements of Hardy and Hardy-Rellich type inequalities involving radially symmetric weights are variational manifestations of Sturm's theory on the oscillatory behavior of certain ordinary differential equations. On the other hand, most geometric inequalities, including those of Sobolev and Log-Sobolev type, are simply expressions of the convexity of certain free energy functionals along the geodesics on the Wasserstein manifold of probability measures equipped with the optimal mass transport metric. Caffarelli-Kohn-Nirenberg and Hardy-Rellich-Sobolev type inequalities are then obtained by interpolating the above two classes of inequalities via the classical ones of Hölder. The subtle Moser-Onofri-Aubin inequalities on the two-dimensional sphere are connected to Liouville type theorems for planar mean field equations."--Publisher's website.

How long is Functional Inequalities: New Perspectives and New Applications?

Functional Inequalities: New Perspectives and New Applications by Nassif Ghoussoub is 299 pages long, and a total of 77,441 words.

This makes it 101% the length of the average book. It also has 95% more words than the average book.

How Long Does it Take to Read Functional Inequalities: New Perspectives and New Applications Aloud?

The average oral reading speed is 183 words per minute. This means it takes 7 hours and 3 minutes to read Functional Inequalities: New Perspectives and New Applications aloud.

What Reading Level is Functional Inequalities: New Perspectives and New Applications?

Functional Inequalities: New Perspectives and New Applications is suitable for students ages 12 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.

Where Can I Buy Functional Inequalities: New Perspectives and New Applications?

Functional Inequalities: New Perspectives and New Applications by Nassif Ghoussoub is sold by several retailers and bookshops. However, Read Time works with Amazon to provide an easier way to purchase books.

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