How Long to Read Differential Geometry Of Curves And Surfaces With Singularities

How Long Does it Take to Read Differential Geometry Of Curves And Surfaces With Singularities?

It takes the average reader 6 hours and 37 minutes to read Differential Geometry Of Curves And Surfaces With Singularities by Masaaki Umehara

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

Description

This book provides a unique and highly accessible approach to singularity theory from the perspective of differential geometry of curves and surfaces. It is written by three leading experts on the interplay between two important fields — singularity theory and differential geometry.The book introduces singularities and their recognition theorems, and describes their applications to geometry and topology, restricting the objects of attention to singularities of plane curves and surfaces in the Euclidean 3-space. In particular, by presenting the singular curvature, which originated through research by the authors, the Gauss-Bonnet theorem for surfaces is generalized to those with singularities. The Gauss-Bonnet theorem is intrinsic in nature, that is, it is a theorem not only for surfaces but also for 2-dimensional Riemannian manifolds. The book also elucidates the notion of Riemannian manifolds with singularities.These topics, as well as elementary descriptions of proofs of the recognition theorems, cannot be found in other books. Explicit examples and models are provided in abundance, along with insightful explanations of the underlying theory as well. Numerous figures and exercise problems are given, becoming strong aids in developing an understanding of the material.Readers will gain from this text a unique introduction to the singularities of curves and surfaces from the viewpoint of differential geometry, and it will be a useful guide for students and researchers interested in this subject.

How long is Differential Geometry Of Curves And Surfaces With Singularities?

Differential Geometry Of Curves And Surfaces With Singularities by Masaaki Umehara is 387 pages long, and a total of 99,459 words.

This makes it 131% the length of the average book. It also has 122% more words than the average book.

How Long Does it Take to Read Differential Geometry Of Curves And Surfaces With Singularities Aloud?

The average oral reading speed is 183 words per minute. This means it takes 9 hours and 3 minutes to read Differential Geometry Of Curves And Surfaces With Singularities aloud.

What Reading Level is Differential Geometry Of Curves And Surfaces With Singularities?

Differential Geometry Of Curves And Surfaces With Singularities 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 Differential Geometry Of Curves And Surfaces With Singularities?

Differential Geometry Of Curves And Surfaces With Singularities by Masaaki Umehara 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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