Vector Geometry
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Vector Geometry
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Author : Gilbert de B. Robinson
language : en
Publisher: Courier Corporation
Release Date : 2013-10-10
Vector Geometry written by Gilbert de B. Robinson and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-10-10 with Mathematics categories.
Concise undergraduate-level text by a prominent mathematician explores the relationship between algebra and geometry. An elementary course in plane geometry is the sole requirement. Includes answers to exercises. 1962 edition.
Vector Geometry And Linear Algebra
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Author : Max Jeger
language : en
Publisher: Interscience Publishers
Release Date : 1967
Vector Geometry And Linear Algebra written by Max Jeger and has been published by Interscience Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 1967 with Mathematics categories.
Translation of Einfèuhrung in die vektorielle Geometrie und lineare Algebra (fèur Ingenieure und Naturwissenschafter)
Elementary Vector Geometry
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Author : Seymour Schuster
language : en
Publisher:
Release Date : 2008
Elementary Vector Geometry written by Seymour Schuster and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Mathematics categories.
Appropriate for high school and college courses, this elementary text addresses the development of vector algebra as a mathematical tool and features applications to trigonometry and algebra. Exercises, solutions. 1962 edition.
Vector Geometry
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Author : Gilbert de Beauregard Robinson
language : en
Publisher: Independently Published
Release Date : 2020-12-25
Vector Geometry written by Gilbert de Beauregard Robinson and has been published by Independently Published this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-12-25 with categories.
This then was the problem-to give an introductory course in modern algebra and geometry-and I have proceeded on the assumption that neither is complete without the other, that they are truly two sides of the same coin. Topics include lines and planes, determinants and linear equations, matrices, groups and linear transformations, and vectors and vector spaces. Additional subjects range from conics and quadrics to homogeneous coordinates and projective geometry, geometry on the sphere, and reduction of real matrices to diagonal form. Exercises appear throughout the text, with complete answers at the end. In seeking to coordinate Euclidean, projective, and non-Euclidean geometry in an elementary way with matrices, determinants, and linear transformations, the notion of a vector has been exploited to the full. There is nothing new in this book, but an attempt has been made to present ideas at a level suitable to first-year students and in a manner to arouse their interest. For these associations of ideas are the stuff from which modern mathematics and many of its applications are made. I have tried to keep the presentation as informal as possible in an attempt to arouse and maintain interest. Some of your established ideas may be challenged in Chapter 8 but this is all part of the process! The exercises have been constructed to illustrate the subject in hand and sometimes to carry the ideas a little further, but emphasis by mere repetition has been avoided. This matter of exercises is important. You should work at them contemplatively and expect to be frustrated sometimes, for this is the only way to make the ideas your own. The notion of a vector is of central significance in Euclidean geometry. As the title of this book suggests, our purpose is to develop these ideas in several different contexts. Some of these contexts are officially "algebraic" while others are "geometric," but with this thread to guide us, we shall see their interrelations and why it is that mathematics is a living subject, changing and progressing with the introduction of new ideas.
Vector Geometry
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Author : James A. Hummel
language : en
Publisher:
Release Date : 1965
Vector Geometry written by James A. Hummel and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1965 with Geometry, Analytic categories.
Algebra Vector Analysis Geometry
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Author : B.R. THAKUR
language : en
Publisher: Ram Prasad Publications(R.P.H.)
Release Date :
Algebra Vector Analysis Geometry written by B.R. THAKUR and has been published by Ram Prasad Publications(R.P.H.) this book supported file pdf, txt, epub, kindle and other format this book has been release on with Education categories.
Algebra Unit 1 0. Historical Background .... i-xvi 1. Linear Dependence and Independence of Row and Column Matrices and Rank of Matrix .... 1-58 2. Characteristic Equation of a Matrix, Eigen Values and Eigen Vectors .... 59-86 Unit 2 3. Cayley-Hamilton Theorem .... 87-97 4. Application of Matrices to a System of Linear Equation .... 98-125 Vector Analysis Unit 3 5. Product of Four Vectors and Reciprocal Vectors .... 126-155 6. Vector Differentiation .... 156-174 7. Gradient, Divergence and Curl .... 175-237 Unit 4 8. Vector Integration .... 238-250 9. Theorem of Gauss, Theorem of Green and Stoke’s Theorem (Without Proof); and Problems Based on them .... 251-300 10. Application to Geometry .... 301-356 Geometry Unit 5 11. General Equation of Second Degree and Tracing of Conics .... 357-407 12. System of Conics .... 408-432 13. Cone .... 433-485 14. Cylinder and its Properties .... 486-504
A Vector Space Approach To Geometry
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Author : Melvin Hausner
language : en
Publisher: Courier Dover Publications
Release Date : 2018-10-17
A Vector Space Approach To Geometry written by Melvin Hausner and has been published by Courier Dover Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-10-17 with Mathematics categories.
A fascinating exploration of the correlation between geometry and linear algebra, this text portrays the former as a subject better understood by the use and development of the latter rather than as an independent field. The treatment offers elementary explanations of the role of geometry in other branches of math and science — including physics, analysis, and group theory — as well as its value in understanding probability, determinant theory, and function spaces. Outstanding features of this volume include discussions of systematic geometric motivations in vector space theory and matrix theory; the use of the center of mass in geometry, with an introduction to barycentric coordinates; axiomatic development of determinants in a chapter dealing with area and volume; and a careful consideration of the particle problem. Students and other mathematically inclined readers will find that this inquiry into the interplay between geometry and other areas offers an enriched appreciation of both subjects.
Vector Analysis And Geometry
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Author : B.R. THAKUR
language : en
Publisher: Ram Prasad Publications(R.P.H.)
Release Date :
Vector Analysis And Geometry written by B.R. THAKUR and has been published by Ram Prasad Publications(R.P.H.) this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.
MATHEMATICS, GANIT, B.SC , IST YEAR, RP, RPP UNIFIED
Vectors Matrices And Geometry
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Author : K.T. Leung
language : en
Publisher: Hong Kong University Press
Release Date : 1994-08-01
Vectors Matrices And Geometry written by K.T. Leung and has been published by Hong Kong University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-08-01 with Mathematics categories.
This book is the last volume of a three-book series written for Sixth Form students and first-year undergraduates. It introduces the important concepts of finite-dimensional vector spaces through the careful study of Euclidean geometry. In turn, methods of linear algebra are then used in the study of coordinate transformations through which a complete classification of conic sections and quadric surfaces is obtained. The book concludes with a detailed treatment of linear equations in n variables in the language of vectors and matrices. Illustrative examples are included in the main text and numerous exercises are given in each section. The other books in the series are Fundamental Concepts of Mathematics (published 1988) and Polynomials and Equations (published 1992).
Vectors And Coordinate Geometry
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Author : Vladimir Serdarushich
language : en
Publisher: Createspace Independent Publishing Platform
Release Date : 2016-02-24
Vectors And Coordinate Geometry written by Vladimir Serdarushich and has been published by Createspace Independent Publishing Platform this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-02-24 with categories.
vectors in plane and space, length of vector, magnitude of vector, collinear vectors, opposite vectors, coplanar vectors, addition of vectors, triangle rule and parallelogram rule, zero or null vector, subtraction of vectors, scalar multiplication, multiplication of vector by scalar, unit vector, linear combination of vectors, linear dependence of vectors, vectors and coordinate system , Cartesian vectors, vectors in coordinate plane, vectors two dimensional system of coordinates, radius vector, position vector, vector components, vectors in two-dimensional system examples, vectors in three-dimensional space in terms of Cartesian coordinates, angles of vectors in relation to coordinate axes, directional cosines, scalar components of vector, unit vector of vector, vectors in three-dimensional coordinate system examples, scalar product, dot product, inner product, perpendicularity of vectors, different position of two vectors, values of scalar product, square of magnitude of vector, scalar product of unit vector, scalar or dot product properties, scalar product in coordinate system, angle between vectors in coordinate plane, projection of vector in direction of another vector, scalar and vector components, vector product or cross product, vector product, right-handed system, example of vector product in physics, condition for two vectors to be parallel, condition for two vectors to be perpendicular, vector products of standard unit vectors, vector product in component form, mixed product or scalar triple product definition, mixed product properties, condition for three vectors to be coplanar, mixed product, scalar triple product, mixed product expressed in terms of components, vector product and mixed product use examples,coordinate geometry, points lines and planes in three-dimensional coordinate system represented by vectors, points lines and planes in three-dimensional space, position of two lines in 3D space, coplanar lines, skew lines, line and plane in three-dimensional space, two planes in three-dimensional space, line of intersection of two planes, orthogonality of line and plane and, orthogonal projection of point on plane, distance from point to plane, angle between line and plane, angle between two planes, line in three-dimensional coordinate system, equation of line in space, vector equation of line, parametric equation of line, equation of line defined by direction vector and point, symmetric equation of line, distance between two points, orthogonal projection of line in space on xy coordinate plane, line in 3D space examples, angle between lines, condition for intersection of two lines in 3D space, equations of plane in coordinate space, equations of plane in 3D coordinate system, intercept form of equation of plane, equation of plane through three points, distance between point and plane, angle between two planes, line and plane in space, line of intersection of two planes, projection of line on coordinate planes, two planes of which given line is their intersection, intersection point of line and plane, sheaf or pencil of planes, angle between line and plane, orthogonal projections, point line and plane distances, condition for line and plane to be perpendicular, line perpendicular to given plane, plane perpendicular to given line, projection of point on plane in space, projection of point on line in space, line perpendicular to given line, plane parallel with two skew lines, plane parallel with two parallel lines, distance between point and line in 3D space, distance between point and plane in space example, distance between parallel lines, distance between skew lines,