Modern Differential Geometry of Curves and Surfaces with Mathematica, Third Edition (Textbooks in Mathematics)

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9781584884484: Modern Differential Geometry of Curves and Surfaces with Mathematica, Third Edition (Textbooks in Mathematics)

Presenting theory while using Mathematica in a complementary way, Modern Differential Geometry of Curves and Surfaces with Mathematica, the third edition of Alfred Gray’s famous textbook, covers how to define and compute standard geometric functions using Mathematica for constructing new curves and surfaces from existing ones. Since Gray’s death, authors Abbena and Salamon have stepped in to bring the book up to date. While maintaining Gray's intuitive approach, they reorganized the material to provide a clearer division between the text and the Mathematica code and added a Mathematica notebook as an appendix to each chapter. They also address important new topics, such as quaternions.

The approach of this book is at times more computational than is usual for a book on the subject. For example, Brioshi’s formula for the Gaussian curvature in terms of the first fundamental form can be too complicated for use in hand calculations, but Mathematica handles it easily, either through computations or through graphing curvature. Another part of Mathematica that can be used effectively in differential geometry is its special function library, where nonstandard spaces of constant curvature can be defined in terms of elliptic functions and then plotted.

Using the techniques described in this book, readers will understand concepts geometrically, plotting curves and surfaces on a monitor and then printing them. Containing more than 300 illustrations, the book demonstrates how to use Mathematica to plot many interesting curves and surfaces. Including as many topics of the classical differential geometry and surfaces as possible, it highlights important theorems with many examples. It includes 300 miniprograms for computing and plotting various geometric objects, alleviating the drudgery of computing things such as the curvature and torsion of a curve in space.

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Elsa Abbena
Editorial: Chapman and Hall/CRC (2006)
ISBN 10: 1584884487 ISBN 13: 9781584884484
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Descripción Chapman and Hall/CRC, 2006. HRD. Estado de conservación: New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Nº de ref. de la librería F9-9781584884484

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Elsa Abbena, Simon Salamon, Alfred Gray
Editorial: Taylor and Francis 2006-06-21, Boca Raton, FL |London (2006)
ISBN 10: 1584884487 ISBN 13: 9781584884484
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Descripción Taylor and Francis 2006-06-21, Boca Raton, FL |London, 2006. hardback. Estado de conservación: New. Nº de ref. de la librería 9781584884484

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Simon Salamon, Elsa Abbena, Alfred Gray
Editorial: Taylor Francis Inc, United States (2006)
ISBN 10: 1584884487 ISBN 13: 9781584884484
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Descripción Taylor Francis Inc, United States, 2006. Hardback. Estado de conservación: New. 3rd Revised edition. Language: English . Brand New Book. Presenting theory while using Mathematica in a complementary way, Modern Differential Geometry of Curves and Surfaces with Mathematica, the third edition of Alfred Gray s famous textbook, covers how to define and compute standard geometric functions using Mathematica for constructing new curves and surfaces from existing ones. Since Gray s death, authors Abbena and Salamon have stepped in to bring the book up to date. While maintaining Gray s intuitive approach, they reorganized the material to provide a clearer division between the text and the Mathematica code and added a Mathematica notebook as an appendix to each chapter. They also address important new topics, such as quaternions. The approach of this book is at times more computational than is usual for a book on the subject. For example, Brioshi s formula for the Gaussian curvature in terms of the first fundamental form can be too complicated for use in hand calculations, but Mathematica handles it easily, either through computations or through graphing curvature. Another part of Mathematica that can be used effectively in differential geometry is its special function library, where nonstandard spaces of constant curvature can be defined in terms of elliptic functions and then plotted. Using the techniques described in this book, readers will understand concepts geometrically, plotting curves and surfaces on a monitor and then printing them. Containing more than 300 illustrations, the book demonstrates how to use Mathematica to plot many interesting curves and surfaces. Including as many topics of the classical differential geometry and surfaces as possible, it highlights important theorems with many examples. It includes 300 miniprograms for computing and plotting various geometric objects, alleviating the drudgery of computing things such as the curvature and torsion of a curve in space. Nº de ref. de la librería AAZ9781584884484

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Simon Salamon, Elsa Abbena, Alfred Gray
Editorial: Taylor Francis Inc, United States (2006)
ISBN 10: 1584884487 ISBN 13: 9781584884484
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The Book Depository US
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Descripción Taylor Francis Inc, United States, 2006. Hardback. Estado de conservación: New. 3rd Revised edition. Language: English . Brand New Book. Presenting theory while using Mathematica in a complementary way, Modern Differential Geometry of Curves and Surfaces with Mathematica, the third edition of Alfred Gray s famous textbook, covers how to define and compute standard geometric functions using Mathematica for constructing new curves and surfaces from existing ones. Since Gray s death, authors Abbena and Salamon have stepped in to bring the book up to date. While maintaining Gray s intuitive approach, they reorganized the material to provide a clearer division between the text and the Mathematica code and added a Mathematica notebook as an appendix to each chapter. They also address important new topics, such as quaternions. The approach of this book is at times more computational than is usual for a book on the subject. For example, Brioshi s formula for the Gaussian curvature in terms of the first fundamental form can be too complicated for use in hand calculations, but Mathematica handles it easily, either through computations or through graphing curvature. Another part of Mathematica that can be used effectively in differential geometry is its special function library, where nonstandard spaces of constant curvature can be defined in terms of elliptic functions and then plotted. Using the techniques described in this book, readers will understand concepts geometrically, plotting curves and surfaces on a monitor and then printing them. Containing more than 300 illustrations, the book demonstrates how to use Mathematica to plot many interesting curves and surfaces. Including as many topics of the classical differential geometry and surfaces as possible, it highlights important theorems with many examples. It includes 300 miniprograms for computing and plotting various geometric objects, alleviating the drudgery of computing things such as the curvature and torsion of a curve in space. Nº de ref. de la librería AAZ9781584884484

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Elsa Abbena; Simon Salamon; Alfred Gray
ISBN 10: 1584884487 ISBN 13: 9781584884484
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Descripción Estado de conservación: New. Bookseller Inventory # ST1584884487. Nº de ref. de la librería ST1584884487

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Abbena, Elsa, Salamon, Simon, Gray, Alfr
Editorial: Chapman and Hall/CRC (2006)
ISBN 10: 1584884487 ISBN 13: 9781584884484
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Descripción Chapman and Hall/CRC, 2006. Hardcover. Estado de conservación: New. Never used!. Nº de ref. de la librería P111584884487

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Gray, Alfred
Editorial: Taylor and Francis (2006)
ISBN 10: 1584884487 ISBN 13: 9781584884484
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Descripción Taylor and Francis, 2006. HRD. Estado de conservación: New. New Book. Shipped from US within 10 to 14 business days. Established seller since 2000. Nº de ref. de la librería VT-9781584884484

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Simon Salamon, Elsa Abbena, Alfred Gray,
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Ria Christie Collections
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Descripción Hardback. Estado de conservación: New. Not Signed; Presenting theory while using Mathematica in a complementary way, Modern Differential Geometry of Curves and Surfaces with Mathematica, the third edition of Alfred Gray's famous textbook, covers how to define and compute standard geometric functions using Mathematica for constructing new curves and. book. Nº de ref. de la librería ria9781584884484_rkm

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ABBENA, ELSA; SALAMON, SIMON; GRAY, ALFRED.
Editorial: Chapman and Hall/CRC (2017)
ISBN 10: 1584884487 ISBN 13: 9781584884484
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Descripción Chapman and Hall/CRC, 2017. Hardback. Estado de conservación: NEW. 9781584884484 This listing is a new book, a title currently in-print which we order directly and immediately from the publisher. Print on Demand title, produced to the highest standard, and there would be a delay in dispatch of around 10 working days. Nº de ref. de la librería HTANDREE0252109

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Elsa Abbena, Simon Salamon, Alfred Gray
Editorial: Chapman and Hall/CRC (2006)
ISBN 10: 1584884487 ISBN 13: 9781584884484
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Descripción Chapman and Hall/CRC, 2006. Hardcover. Estado de conservación: New. Nº de ref. de la librería DBBK1584884487

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