How Long to Read The Index Theorem and the Heat Equation Method

How Long Does it Take to Read The Index Theorem and the Heat Equation Method?

It takes the average reader 5 hours and 17 minutes to read The Index Theorem and the Heat Equation Method by Y L Yu

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

Description

This book provides a self-contained representation of the local version of the Atiyah-Singer index theorem. It contains proofs of the Hodge theorem, the local index theorems for the Dirac operator and some first order geometric elliptic operators by using the heat equation method. The proofs are up to the standard of pure mathematics. In addition, a Chern root algorithm is introduced for proving the local index theorems, and it seems to be as efficient as other methods. Contents:Preliminaries in Riemannian GeometrySchrödinger and Heat OperatorsMP Parametrix and ApplicationsChern–Weil TheoryClifford Algebra and Super-AlgebraDirac OperatorLocal Index TheoremsRiemann–Roch Theorem Readership: Researchers and graduate students in mathematics. Keywords:Atiyah-Singer Index Theorem;Heat Equation Method;Chern Root Algorithm;Local Index Theorem;Fundamental SolutionReviews:“The book is self-contained, which is most helpful for graduate students.”Mathematical Reviews “This is a lovely book on the local version of the Atiyah-Singer index theorem and the heat equation method … it is reasonably self-contained and could serve as the starting point for studies of the index theorem.”Mathematics Abstracts

How long is The Index Theorem and the Heat Equation Method?

The Index Theorem and the Heat Equation Method by Y L Yu is 308 pages long, and a total of 79,464 words.

This makes it 104% the length of the average book. It also has 97% more words than the average book.

How Long Does it Take to Read The Index Theorem and the Heat Equation Method Aloud?

The average oral reading speed is 183 words per minute. This means it takes 7 hours and 14 minutes to read The Index Theorem and the Heat Equation Method aloud.

What Reading Level is The Index Theorem and the Heat Equation Method?

The Index Theorem and the Heat Equation Method 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 The Index Theorem and the Heat Equation Method?

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