Modeling of Curves and Surfaces with MATLAB®

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Sprache: Englisch

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Beschreibung

This text on geometry is devoted to various central geometrical topics including: graphs of functions, transformations, (non-)Euclidean geometries, curves and surfaces as well as their applications in a variety of disciplines. This book presents elementary methods for analytical modeling and demonstrates the potential for symbolic computational tools to support the development of analytical solutions. The author systematically examines several powerful tools of MATLAB® including 2D and 3D animation of geometric images with shadows and colors and transformations using matrices. With over 150 stimulating exercises and problems, this text integrates traditional differential and non-Euclidean geometries with more current computer systems in a practical and user-friendly format. This text is an excellent classroom resource or self-study reference for undergraduate students in a variety of disciplines.

Zusammenfassung

Covers basic MATLAB® and complex geometrical modeling problems related to analysis and differential equations

Provides more than 150 stimulating exercises and problems and over 300 figures reproducible using MATLAB®

Includes applications including numerous examples and exercises from a variety of real-world fields such as physics, engineering, biology, computer science, and IT

Inhaltsverzeichnis

Functions and Transformations.- Functions and Graphs.- Rigid Motions (Isometries).- Affine and Projective Transformations.- Möbius Transformations.- Curves and Surfaces.- Examples of Curves.- Geometry of Curves.- Geometry of Surfaces.- Examples of Surfaces.- Piecewise Curves and Surfaces.

Details

Erscheinungsjahr:	2016
Fachbereich:	Geometrie
Genre:	Importe , Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Inhalt:	xv 453 S.
ISBN-13:	9781493938964
ISBN-10:	1493938967
Sprache:	Englisch
Einband:	Kartoniert / Broschiert
Autor:	Rovenski, Vladimir
Auflage:	Softcover reprint of the original 1st edition 2010
Hersteller:	Springer US Springer New York Springer US, New York, N.Y.
Verantwortliche Person für die EU:	Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße:	254 x 178 x 26 mm
Von/Mit:	Vladimir Rovenski
Erscheinungsdatum:	23.08.2016
Gewicht:	0,873 kg