Solid geometry with MATLAB programming

by Shah, Nita H.

Type Book

Rate 0.0 /5

Details

Files

Reviews

Download

Title Statements

Full title :Solid geometry with MATLAB programming / Nita H. Shah, Falguni S. Acharya.

Summary

Solid geometry is defined as the study of the geometry of three-dimensional solid figures in Euclidean space. There are numerous techniques in solid geometry, mainly analytic geometry and methods using vectors, since they use linear equations and matrix algebra. Solid geometry is quite useful in everyday life, for example, to design different signs and symbols such as octagon shape stop signs, to indicate traffic rules, to design different 3D objects like cubicles in gaming zones, innovative lifts, creative 3D interiors, and to design 3D computer graphics. Studying solid geometry helps students to improve visualization and increase logical thinking and creativity since it is applicable everywhere in day-to-day life. It builds up a foundation for advanced levels of mathematical studies. Numerous competitive exams include solid geometry since its foundation is required to study other branches like civil engineering, mechanical engineering, computer science engineering, architecture, etc. This book is designed especially for students of all levels, and can serve as a fundamental resource for advanced level studies not only in mathematics but also in various fields like engineering, interior design, architecture, etc. It includes theoretical aspects as well as numerous solved examples. The book includes numerical problems and problems of construction as well as practical problems as an application of the respective topic. A special feature of this book is that it includes solved examples using the mathematical tool MATLAB.

Edition Statements

Publication Date:2022.

Publication Statements

Publisher(s):River Publishers
Place of Publication:Place of publication not identified
Language:eng
Publication Date:2022.

The Physical Object

Description:1 online resource.

Edition Identifiers

ISBN:9788770227605, 8770227608, 9781003360681, 1003360688, 9781000824148, 1000824144, 9781000824124, 1000824128
DOI:10.1201/9781003360681
oclc:on1347222854
LC Classification:QA457
Dewey Decimal:516.23

Front Cover -- Solid Geometry with MATLAB Programming -- Contents -- Preface -- 1 Plane -- 1.1 Definition -- 1.2 General Equation of the First Degree in x, y, z Represents a Plane -- 1.3 Transformation of General form to Normal Form -- 1.4 Direction Cosines of the Normal to a Plane -- 1.5 Equation of a Plane Passing through a Given Point -- 1.6 Equation of the Plane in Intercept Form -- 1.7 Reduction of the General Equation of the Plane to the Intercept Form -- 1.8 Equation of a Plane Passing through three Points -- 1.9 Equation of any Plane Parallel to a Given Plane

1.10 Equation of Plane Passing through the Intersection of Two Given Planes -- 1.11 Equation of the Plane Passing through the Intersection -- 1.12 Angle between Two Planes -- 1.13 Position of the Origin w.r.t. the Angle between Two Planes -- 1.14 Two Sides of a Plane -- 1.15 Length of the Perpendicular from a Point to a Plane -- 1.16 Bisectors of Angles between Two Planes -- 1.17 Pair of Planes -- 1.18 Orthogonal Projection on a Plane -- 1.19 Volume of a Tetrahedron -- Exercise -- 2 Straight Line -- 2.1 Representation of Line (Introduction)

2.2 Equation of a Straight Line in the Symmetrical Form -- 2.3 Equation of a…