It takes the average reader 6 hours and 4 minutes to read Geometry of Differential Forms by Shigeyuki Morita
Assuming a reading speed of 250 words per minute. Learn more
Since the times of Gauss, Riemann, and Poincare, one of the principal goals of the study of manifolds has been to relate local analytic properties of a manifold with its global topological properties. Among the high points on this route are the Gauss-Bonnet formula, the de Rham complex, and the Hodge theorem; these results show, in particular, that the central tool in reaching the main goal of global analysis is the theory of differential forms. The book by Morita is a comprehensive introduction to differential forms. It begins with a quick introduction to the notion of differentiable manifolds and then develops basic properties of differential forms as well as fundamental results concerning them, such as the de Rham and Frobenius theorems. The second half of the book is devoted to more advanced material, including Laplacians and harmonic forms on manifolds, the concepts of vector bundles and fiber bundles, and the theory of characteristic classes. Among the less traditional topics treated is a detailed description of the Chern-Weil theory. The book can serve as a textbook for undergraduate students and for graduate students in geometry.
Geometry of Differential Forms by Shigeyuki Morita is 356 pages long, and a total of 91,136 words.
This makes it 120% the length of the average book. It also has 111% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 8 hours and 18 minutes to read Geometry of Differential Forms aloud.
Geometry of Differential Forms 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.
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