How Long to Read Elliptic Operators, Topology, and Asymptotic Methods, Second Edition

How Long Does it Take to Read Elliptic Operators, Topology, and Asymptotic Methods, Second Edition?

It takes the average reader 3 hours and 43 minutes to read Elliptic Operators, Topology, and Asymptotic Methods, Second Edition by John Roe

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

Description

Ten years after publication of the popular first edition of this volume, the index theorem continues to stand as a central result of modern mathematics-one of the most important foci for the interaction of topology, geometry, and analysis. Retaining its concise presentation but offering streamlined analyses and expanded coverage of important examples and applications, Elliptic Operators, Topology, and Asymptotic Methods, Second Edition introduces the ideas surrounding the heat equation proof of the Atiyah-Singer index theorem. The author builds towards proof of the Lefschetz formula and the full index theorem with four chapters of geometry, five chapters of analysis, and four chapters of topology. The topics addressed include Hodge theory, Weyl's theorem on the distribution of the eigenvalues of the Laplacian, the asymptotic expansion for the heat kernel, and the index theorem for Dirac-type operators using Getzler's direct method. As a "dessert," the final two chapters offer discussion of Witten's analytic approach to the Morse inequalities and the L2-index theorem of Atiyah for Galois coverings. The text assumes some background in differential geometry and functional analysis. With the partial differential equation theory developed within the text and the exercises in each chapter, Elliptic Operators, Topology, and Asymptotic Methods becomes the ideal vehicle for self-study or coursework. Mathematicians, researchers, and physicists working with index theory or supersymmetry will find it a concise but wide-ranging introduction to this important and intriguing field.

How long is Elliptic Operators, Topology, and Asymptotic Methods, Second Edition?

Elliptic Operators, Topology, and Asymptotic Methods, Second Edition by John Roe is 222 pages long, and a total of 55,944 words.

This makes it 75% the length of the average book. It also has 68% more words than the average book.

How Long Does it Take to Read Elliptic Operators, Topology, and Asymptotic Methods, Second Edition Aloud?

The average oral reading speed is 183 words per minute. This means it takes 5 hours and 5 minutes to read Elliptic Operators, Topology, and Asymptotic Methods, Second Edition aloud.

What Reading Level is Elliptic Operators, Topology, and Asymptotic Methods, Second Edition?

Elliptic Operators, Topology, and Asymptotic Methods, Second Edition 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 Elliptic Operators, Topology, and Asymptotic Methods, Second Edition?

Elliptic Operators, Topology, and Asymptotic Methods, Second Edition by John Roe 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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