9789814740241-9814740241-Differential Geometry Of Curves And Surfaces

Differential Geometry Of Curves And Surfaces

ISBN-13: 9789814740241
ISBN-10: 9814740241
Edition: 1
Author: Umehara, Masaaki
Publication date: 2017
Publisher: WSPC
Format: Paperback 326 pages
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Book details

ISBN-13: 9789814740241
ISBN-10: 9814740241
Edition: 1
Author: Umehara, Masaaki
Publication date: 2017
Publisher: WSPC
Format: Paperback 326 pages

Summary

Acknowledged authors Umehara, Masaaki wrote Differential Geometry Of Curves And Surfaces comprising 326 pages back in 2017. Textbook and eTextbook are published under ISBN 9814740241 and 9789814740241. Since then Differential Geometry Of Curves And Surfaces textbook was available to sell back to BooksRun online for the top buyback price or rent at the marketplace.

Description

This engrossing volume on curve and surface theories is the result of many years of experience the authors have had with teaching the most essential aspects of this subject. The first half of the text is suitable for a university-level course, without the need for referencing other texts, as it is completely self-contained. More advanced material in the second half of the book, including appendices, also serves more experienced students well.

Furthermore, this text is also suitable for a seminar for graduate students, and for self-study. It is written in a robust style that gives the student the opportunity to continue his study at a higher level beyond what a course would usually offer. Further material is included, for example, closed curves, enveloping curves, curves of constant width, the fundamental theorem of surface theory, constant mean curvature surfaces, and existence of curvature line coordinates.

Surface theory from the viewpoint of manifolds theory is explained, and encompasses higher level material that is useful for the more advanced student. This includes, but is not limited to, indices of umbilics, properties of cycloids, existence of conformal coordinates, and characterizing conditions for singularities.

In summary, this textbook succeeds in elucidating detailed explanations of fundamental material, where the most essential basic notions stand out clearly, but does not shy away from the more advanced topics needed for research in this field. It provides a large collection of mathematically rich supporting topics. Thus, it is an ideal first textbook in this field.

Readership: Undergraduate and graduate students, and researchers interested in differential geometry of curve and surface theories.

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