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DIFFERENTIAL GEOMETRY OF CURVES AND

[Paperback]

by Japan) Masaaki Umehara (tokyo Inst Of Tech, Japan) Kotaro Yamada (tokyo Inst Of Tech

    • Format

      Paperback / softback

    • Publisher

      World Scientif

    • Published

      May 2017

    • Weight

      441g

      Read full description

      Today's Price

      £39.73

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      DIFFERENTIAL GEOMETRY OF CURVES AND

      Today's Price £39.73



      Product 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.

      Specification

      • Format

        Paperback / softback

      • Publisher

        World Scientif

      • Published

        May 2017

      • Weight

        441g

      • Dimensions

        153 x 229 x 18 mm

      • ISBN

        9789814740241

      • ISBN-10

        9814740241

      • Eden Code

        5503405

      More Information

      • ISBN: 9789814740241

      • Publisher: World Scientif

      • Release Date: May 2017

      • Weight: 441g

      • Dimensions: 153 x 229 x 18 mm

      • Eden Code: 5503405


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