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Item Details
Title: DIFFERENTIAL GEOMETRY OF CURVES AND SURFACES
By: Masaaki Umehara, Kotaro Yamada, Akira Uchida
Format: Hardback

List price: £73.00
Our price: £65.70
Discount:
10% off
You save: £7.30
ISBN 10: 9814740233
ISBN 13: 9789814740234
Availability: Usually dispatched within 1-3 weeks.
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Stock: Currently 0 available
Publisher: WORLD SCIENTIFIC PUBLISHING CO PTE LTD
Pub. date: 30 May, 2017
Pages: 328
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.
Synopsis: 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.
Publication: Singapore
Imprint: World Scientific Publishing Co Pte Ltd
Returns: Returnable
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