Modern Differential Geometry of Curves and Surfaces with Mathematica, Fourth Edition - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Modern Differential Geometry of Curves and Surfaces with Mathematica, Fourth Edition write by Elsa Abbena. This book was released on 2016. Modern Differential Geometry of Curves and Surfaces with Mathematica, Fourth Edition available in PDF, EPUB and Kindle. Reflecting the latest version of Mathematica®, this text provides an introduction to differential geometry by covering curves and surfaces in detail. Popular with students and professionals in mathematics, physics, and computer science, the book shows readers how to reproduce a large number of illustrations using Mathematica. This edition covers the latest mathematical research and moves the Mathematica notebooks to the authors’ website, making the book even easier to use.
Modern Differential Geometry of Curves and Surfaces with Mathematica
Modern Differential Geometry of Curves and Surfaces with Mathematica - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Modern Differential Geometry of Curves and Surfaces with Mathematica write by Elsa Abbena. This book was released on 2017-09-06. Modern Differential Geometry of Curves and Surfaces with Mathematica available in PDF, EPUB and Kindle. 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.
Modern Differential Geometry of Curves and Surfaces with Mathematica, Second Edition
Modern Differential Geometry of Curves and Surfaces with Mathematica, Second Edition - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Modern Differential Geometry of Curves and Surfaces with Mathematica, Second Edition write by mary Gray. This book was released on 1997-12-29. Modern Differential Geometry of Curves and Surfaces with Mathematica, Second Edition available in PDF, EPUB and Kindle. The Second Edition combines a traditional approach with the symbolic manipulation abilities of Mathematica to explain and develop the classical theory of curves and surfaces. You will learn to reproduce and study interesting curves and surfaces - many more than are included in typical texts - using computer methods. By plotting geometric objects and studying the printed result, teachers and students can understand concepts geometrically and see the effect of changes in parameters. Modern Differential Geometry of Curves and Surfaces with Mathematica explains how to define and compute standard geometric functions, for example the curvature of curves, and presents a dialect of Mathematica for constructing new curves and surfaces from old. The book also explores how to apply techniques from analysis. Although the book makes extensive use of Mathematica, readers without access to that program can perform the calculations in the text by hand. While single- and multi-variable calculus, some linear algebra, and a few concepts of point set topology are needed to understand the theory, no computer or Mathematica skills are required to understand the concepts presented in the text. In fact, it serves as an excellent introduction to Mathematica, and includes fully documented programs written for use with Mathematica. Ideal for both classroom use and self-study, Modern Differential Geometry of Curves and Surfaces with Mathematica has been tested extensively in the classroom and used in professional short courses throughout the world.
Modern Differential Geometry of Curves and Surfaces with Mathematica
Modern Differential Geometry of Curves and Surfaces with Mathematica - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Modern Differential Geometry of Curves and Surfaces with Mathematica write by Elsa Abbena. This book was released on 2017-09-06. Modern Differential Geometry of Curves and Surfaces with Mathematica available in PDF, EPUB and Kindle. 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.
Modern Differential Geometry of Curves and Surfaces
Modern Differential Geometry of Curves and Surfaces - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Modern Differential Geometry of Curves and Surfaces write by Alfred Gray. This book was released on 1993-06-28. Modern Differential Geometry of Curves and Surfaces available in PDF, EPUB and Kindle. Modern Differential Geometry of Curves and Surfaces is the first advanced text/reference to explain the mathematics of curves and surfaces and describe how to draw the pictures illustrating them using Mathematica‚. You learn not only the classical concepts, ideas, and methods of differential geometry, but also how to define, construct, and compute standard functions. You also learn how to create new curves and surfaces from old ones. The book is superb for classroom use and self-study. Material is presented clearly, using over 150 exercises, 175 Mathematica programs, and 225 geometric figures to thoroughly develop the topics presented. A brief tutorial explaining how to use Mathematica in differential geometry is included as well. This text/reference is excellent for all mathematicians, scientists, and engineers who use differential geometric methods and investigate geometrical structures.
