Vector Analysis And Geometry
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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.
Unit-I 1.1 Historical background : 1.1.1 Development of Indian Mathematics Later Classical Period (500-1250) 1.1.2 A brief biography of Varahamihira and Aryabhatta 1.2 Rank of Matrix 1.3 Echelon and normal form of matrix 1.4 Characteristic equations of a matrix 1.4.1 Eigen-values 1.4.2 Eigen-vectors Unit-II 2.1 Cayley Hamilton theorem 2.2 Application of Cayley Hamilton theorem to find the inverse of a matrix 2.3 Application of matrix to solve a system of linear equations 2.4 Theorems on consistency and inconsistency of a system of linear equations 2.5 Solving linear equations up to three unknowns Unit-III 3.1 Scalar and Vector products of three and four vectors 3.2 Reciprocal vectors 3.3 Vector differentiation 3.3.1 Rules of differentiation 3.3.2 Derivatives of Triple Products 3.4 Gradient, Divergence and Curl 3.5 Directional derivatives 3.6 Vector Identities 3.7 Vector Equations Unit-IV 4.1 Vector Integration 4.2 Gauss theorem (without proof) and problems based on it 4.3 Green theorem (without proof) and problems based on it 4.4 Stoke theorem (without prof) and problems based on it Unit-V 5.1 General equation of second degree 5.2 Tracing of conics 5.3 System of conics 5.4 Cone 5.4.1 Equation of cone with given base 5.4.2 Generators of cone 5.4.3 Condition for three mutually perpendicular gerators 5.4.5 Right circular cone 5.5 Cylinder 5.5.1 Equation of cylinder and its properties 5.5.2 Right Circular Cylinder 5.5.3 Enveloping Cylinder
Tensor And Vector Analysis
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Author : C. E. Springer
language : en
Publisher: Courier Corporation
Release Date : 2013-09-26
Tensor And Vector Analysis written by C. E. Springer and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-09-26 with Mathematics categories.
Assuming only a knowledge of basic calculus, this text's elementary development of tensor theory focuses on concepts related to vector analysis. The book also forms an introduction to metric differential geometry. 1962 edition.
Tensor And Vector Analysis
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Author : A.T. Fomenko
language : en
Publisher: CRC Press
Release Date : 1998-11-26
Tensor And Vector Analysis written by A.T. Fomenko and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-11-26 with Mathematics categories.
Reflecting the significant contributions of Russian mathematicians to the field, this book contains a selection of papers on tensor and vector analysis. It is divided into three parts, covering Hamiltonian systems, Riemannian geometry and calculus of variations, and topology. The range of applications of these topics is very broad, as many modern geometrical problems recur across a wide range of fields, including mechanics and physics as well as mathematics. Many of the approaches to problems presented in this volume will be novel to the Western reader, although questions are of global interest. The main achievements of the Russian school are placed in the context of the development of each individual subject.
Geometry Vector Calculus
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Author : A. R. Vasishtha
language : en
Publisher: Krishna Prakashan Media
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Geometry Vector Calculus written by A. R. Vasishtha and has been published by Krishna Prakashan Media this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
Vector Analysis For Computer Graphics
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Author : John Vince
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-05-15
Vector Analysis For Computer Graphics written by John Vince and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-05-15 with Computers categories.
In my last book, Geometry for Computer Graphics, I employed a mixture of algebra and vector analysis to prove many of the equations used in computer graphics. At the time, I did not make any distinction between the two methodologies, but slowly it dawned upon me that I had had to discover, for the first time, how to use vector analysis and associated strategies for solving geometric problems. I suppose that mathematicians are taught this as part of their formal mathematical training, but then, I am not a mathematician! After some deliberation, I decided to write a book that would introduce the beginner to the world of vectors and their application to the geometric problems encountered in computer graphics. I accepted the fact that there would be some duplication of formulas between this and my last book; however, this time I would concentrate on explaining how problems are solved. The book contains eleven chapters: The first chapter distinguishes between scalar and vector quantities, which is reasonably straightforward. The second chapter introduces vector repres- tation, starting with Cartesian coordinates and concluding with the role of direction cosines in changes in axial systems. The third chapter explores how the line equation has a natural vector interpretation and how vector analysis is used to resolve a variety of line-related, geometric problems. Chapter 4 repeats Chapter 3 in the context of the plane.
Vector Analysis
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Author : Louis Brand
language : en
Publisher: Courier Corporation
Release Date : 2006-02-10
Vector Analysis written by Louis Brand and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-02-10 with Mathematics categories.
This text for undergraduates was designed as a short introductory course to give students the tools of vector algebra and calculus, as well as a brief glimpse into the subjects' manifold applications. Uses of the potential function, both scalar and vector, are fully illustrated. 1957 edition. 86 figures.
A Textbook Of Vector Analysis And Geometry
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Author : H. D. Pandey
language : en
Publisher:
Release Date : 2011
A Textbook Of Vector Analysis And Geometry written by H. D. Pandey and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Geometry categories.
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 also offers elementary explanations of the role of geometry in other branches of math and science. 1965 edition.
A Textbook Of Vector Analysis
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Author : Shanti Narayan | PK Mittal
language : en
Publisher: S. Chand Publishing
Release Date : 2010
A Textbook Of Vector Analysis written by Shanti Narayan | PK Mittal and has been published by S. Chand Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Mathematics categories.
A Textbook of Vector Analysis
Vector Analysis And Geometry
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Author :
language : en
Publisher: Galgotia Publications
Release Date :
Vector Analysis And Geometry written by and has been published by Galgotia Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.