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Modern Differential Geometry of Curves and Surfaces with Mathematica
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.
The Notebooks Of Leonardo Da Vinci, Complete By Leonardo Da Vinci
Author: Leonardo Da Vinci
language: en
Publisher: BEYOND BOOKS HUB
Release Date: 2021-01-01
The Notebooks Of Leonardo Da Vinci, Complete By Leonardo Da Vinci Leonardo da Vinci—artist, inventor, and prototypical Renaissance man—is a perennial source of fascination because of his astonishing intellect and boundless curiosity about the natural and man-made world. During his life he created numerous works of art and kept voluminous notebooks that detailed his artistic and intellectual pursuits. The collection of writings and art in this magnificent book are drawn from his notebooks. The book organizes his wide range of interests into subjects such as human figures, light and shade, perspective and visual perception, anatomy, botany and landscape, geography, the physical sciences and astronomy, architecture, sculpture, and inventions. Nearly every piece of writing throughout the book is keyed to the piece of artwork it describes. The writing and art is selected by art historian H. Anna Suh, who provides fascinating commentary and insight into the material, making Leonardo's Notebooks an exquisite single-volume compendium celebrating his enduring genius. The Notebooks Of Leonardo Da Vinci, Complete By Leonardo Da Vinci
The Collected Prose of Robert Frost
Presents a collection of both published and unpublished prose pieces, including correspondence, articles, talks, readings, and stories.