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A great deal of progress has been made recently in the field of asymptotic formulas that arise in the theory of Dirac and Laplace type operators. These include not only the classical heat trace asymptotics and heat content asymptotics, but also the more exotic objects encountered in the context of manifolds with boundaries and imposing suitable boundary conditions. To date, however, there has been no unified discussion of these results. Asymptotic Formulae in Spectral Geometry collects these results and computations into one book. The author focuses on the functorial and special cases methods of computing asymptotic heat trace and heat content coefficients in the heat equation and introduces results derived from the Seeley Calculus and other methods. He incorporates the work of many authors into the presentation, and includes a complete bibliography that serves as a roadmap to the literature on the subject. The formulas studied here are important not only for their intrinsic interest, but also for their applications to areas such as index theory, compactness theorems for moduli spaces of isospectral metics, and zeta function regularization. Geometers, mathematical physicists, and analysts alike will undoubtedly find this book to be up to date, well organized, and broad in scope-in short, the definitive book on the subject.
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| $99.99 | Digital |
| WonderClub |
Charles D. Spar
reviewed Asymptotic formulae in spectral geometry on April 07, 2014
Asymptotic formulae in spectral geometry
The name of the story that I read is "How Serval Got His Spots" and since this is a fable, there isn't a author. This fable was told by the Ndebele people which is a community of people in Africa. The genre of this book is Folklore and the sub genre of this story is Fables. I chose to read this story for my English Presentation, since our unit is about fables. This particular story is retold by Nick Greaves.
This story explains how Servals got their spots. The setting of this book is In Africa, a long time ago. The central characters are a Serval and a snake. In this fable, Servals had no spots, and therefore were called 'Lion's Little Cousins'. Servals wished nothing but to have a beautiful coat like a Zebra. Then, one day when a snake got sick and no one else would help him, Serval was so nice to help him get better. To thank this act of kindness, the snake bit the Serval, and gave him spots.
This story teaches me a lesson about being kind and helpful. The Serval helped the snake when he was sick and no one else would help him. Also I think this story teaches that you should be kind to others, or else not many people will offer to help you when you need help. I liked this story because I think it teaches you important lessons. Since this is a fable, the characters didn't seem real. (Animals can talk) All in all, I liked this story.
10 - 13
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