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Author : Anthony William Nutbourne
Publisher :
ISBN 13 :
Total Pages : 292 pages
Book Rating : 4.75/5 ( download)
Download or read book Differential Geometry Applied to Curve and Surface Design written by Anthony William Nutbourne and published by . This book was released on 1988 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Anthony William Nutbourne
Publisher : Ellis Horwood
ISBN 13 :
Total Pages : 292 pages
Book Rating : 4.28/5 ( download)
Download or read book Differential Geometry Applied to Curve and Surface Design: Foundations written by Anthony William Nutbourne and published by Ellis Horwood. This book was released on 1988 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Masaaki Umehara
Publisher : World Scientific Publishing Company
ISBN 13 : 9814740268
Total Pages : 328 pages
Book Rating : 4.65/5 ( download)
Download or read book Differential Geometry of Curves and Surfaces written by Masaaki Umehara and published by World Scientific Publishing Company. This book was released on 2017-05-12 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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. Request Inspection Copy
Author : Anthony W. Nutbourne
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.13/5 ( download)
Download or read book Differential Geometry Applied to Curve and Surface Design written by Anthony W. Nutbourne and published by . This book was released on 1984 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Anthony W. Nutbourne
Publisher :
ISBN 13 :
Total Pages : 282 pages
Book Rating : 4.10/5 ( download)
Download or read book Differential Geometry Applied to Curve and Surface Design written by Anthony W. Nutbourne and published by . This book was released on 1988 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Nickolas S. Sapidis
Publisher : SIAM
ISBN 13 : 9781611971521
Total Pages : 330 pages
Book Rating : 4.27/5 ( download)
Download or read book Designing Fair Curves and Surfaces written by Nickolas S. Sapidis and published by SIAM. This book was released on 1994-01-01 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: This state-of-the-art study of the techniques used for designing curves and surfaces for computer-aided design applications focuses on the principle that fair shapes are always free of unessential features and are simple in design. The authors define fairness mathematically, demonstrate how newly developed curve and surface schemes guarantee fairness, and assist the user in identifying and removing shape aberrations in a surface model without destroying the principal shape characteristics of the model. Aesthetic aspects of geometric modeling are of vital importance in industrial design and modeling, particularly in the automobile and aerospace industries. Any engineer working in computer-aided design, computer-aided manufacturing, or computer-aided engineering will want to add this volume to his or her library. Researchers who have a familiarity with basic techniques in computer-aided graphic design and some knowledge of differential geometry will find this book a helpful reference. It is essential reading for statisticians working on approximation or smoothing of data with mathematical curves or surfaces.
Author : Victor Andreevich Toponogov
Publisher : Springer Science & Business Media
ISBN 13 : 0817644024
Total Pages : 215 pages
Book Rating : 4.24/5 ( download)
Download or read book Differential Geometry of Curves and Surfaces written by Victor Andreevich Toponogov and published by Springer Science & Business Media. This book was released on 2006-09-10 with total page 215 pages. Available in PDF, EPUB and Kindle. Book excerpt: Central topics covered include curves, surfaces, geodesics, intrinsic geometry, and the Alexandrov global angle comparision theorem Many nontrivial and original problems (some with hints and solutions) Standard theoretical material is combined with more difficult theorems and complex problems, while maintaining a clear distinction between the two levels
Author : Manfredo Perdigão do Carmo
Publisher :
ISBN 13 : 9787111139119
Total Pages : 503 pages
Book Rating : 4.19/5 ( download)
Download or read book 曲线与曲面的微分几何 written by Manfredo Perdigão do Carmo and published by . This book was released on 2004 with total page 503 pages. Available in PDF, EPUB and Kindle. Book excerpt: 责任者译名:卡莫。
Author : Kristopher Tapp
Publisher : Springer
ISBN 13 : 3319397990
Total Pages : 366 pages
Book Rating : 4.93/5 ( download)
Download or read book Differential Geometry of Curves and Surfaces written by Kristopher Tapp and published by Springer. This book was released on 2016-09-30 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a textbook on differential geometry well-suited to a variety of courses on this topic. For readers seeking an elementary text, the prerequisites are minimal and include plenty of examples and intermediate steps within proofs, while providing an invitation to more excursive applications and advanced topics. For readers bound for graduate school in math or physics, this is a clear, concise, rigorous development of the topic including the deep global theorems. For the benefit of all readers, the author employs various techniques to render the difficult abstract ideas herein more understandable and engaging. Over 300 color illustrations bring the mathematics to life, instantly clarifying concepts in ways that grayscale could not. Green-boxed definitions and purple-boxed theorems help to visually organize the mathematical content. Color is even used within the text to highlight logical relationships. Applications abound! The study of conformal and equiareal functions is grounded in its application to cartography. Evolutes, involutes and cycloids are introduced through Christiaan Huygens' fascinating story: in attempting to solve the famous longitude problem with a mathematically-improved pendulum clock, he invented mathematics that would later be applied to optics and gears. Clairaut’s Theorem is presented as a conservation law for angular momentum. Green’s Theorem makes possible a drafting tool called a planimeter. Foucault’s Pendulum helps one visualize a parallel vector field along a latitude of the earth. Even better, a south-pointing chariot helps one visualize a parallel vector field along any curve in any surface. In truth, the most profound application of differential geometry is to modern physics, which is beyond the scope of this book. The GPS in any car wouldn’t work without general relativity, formalized through the language of differential geometry. Throughout this book, applications, metaphors and visualizations are tools that motivate and clarify the rigorous mathematical content, but never replace it.
Author : Manfredo P. do Carmo
Publisher : Courier Dover Publications
ISBN 13 : 0486817970
Total Pages : 528 pages
Book Rating : 4.72/5 ( download)
Download or read book Differential Geometry of Curves and Surfaces written by Manfredo P. do Carmo and published by Courier Dover Publications. This book was released on 2016-12-14 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the most widely used texts in its field, this volume's clear, well-written exposition is enhanced by many examples and exercises, some with hints and answers. 1976 edition.
