Differential Geometry Of Curves And Surfaces - Brossura

Umehara, Masaaki

Brossura

ISBN 10: 9814740241 ISBN 13: 9789814740241

Casa editrice: WSPC, 2017

Riassunto

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.

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Recensione

The book will serve as a very useful reference for a broad range of applied mathematicians, physicists, as well as theoretical geophysicists seeking a precise, systematic presentation of the differential geometry underlying much of modern theory. After reading the book the reader should have a good feeling for the material presented, provided that he has done all the exercises! For mathematically oriented readers, I recommend also the additional material. --Pure and Applied Geophysics

Dettagli dell'edizione

• Editore: WSPC
• Data di pubblicazione: 2017
• Lingua: Inglese
• ISBN 10: 9814740241
• ISBN 13: 9789814740241
• Rilegatura: Copertina flessibile
• Numero edizione: 1
• Numero di pagine: 326
• Contatto del produttore: non disponibile
• Persona responsabile: gpsr@libri.de; gpsr@libri.de; ; Friedensallee 273; Hamburg; 22763; Germania