Geometrical Vectors PDF Download
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Author | : Gabriel Weinreich |
Publisher | : University of Chicago Press |
Total Pages | : 132 |
Release | : 1998-07-06 |
Genre | : Mathematics |
ISBN | : 9780226890487 |
Download Geometrical Vectors Book in PDF, ePub and Kindle
Every advanced undergraduate and graduate student of physics must master the concepts of vectors and vector analysis. Yet most books cover this topic by merely repeating the introductory-level treatment based on a limited algebraic or analytic view of the subject. Geometrical Vectors introduces a more sophisticated approach, which not only brings together many loose ends of the traditional treatment, but also leads directly into the practical use of vectors in general curvilinear coordinates by carefully separating those relationships which are topologically invariant from those which are not. Based on the essentially geometric nature of the subject, this approach builds consistently on students' prior knowledge and geometrical intuition. Written in an informal and personal style, Geometrical Vectors provides a handy guide for any student of vector analysis. Clear, carefully constructed line drawings illustrate key points in the text, and problem sets as well as physical examples are provided.
Author | : Gabriel Weinreich |
Publisher | : University of Chicago Press |
Total Pages | : 126 |
Release | : 2020-06-05 |
Genre | : Science |
ISBN | : 022677869X |
Download Geometrical Vectors Book in PDF, ePub and Kindle
Every advanced undergraduate and graduate student of physics must master the concepts of vectors and vector analysis. Yet most books cover this topic by merely repeating the introductory-level treatment based on a limited algebraic or analytic view of the subject. Geometrical Vectors introduces a more sophisticated approach, which not only brings together many loose ends of the traditional treatment, but also leads directly into the practical use of vectors in general curvilinear coordinates by carefully separating those relationships which are topologically invariant from those which are not. Based on the essentially geometric nature of the subject, this approach builds consistently on students' prior knowledge and geometrical intuition. Written in an informal and personal style, Geometrical Vectors provides a handy guide for any student of vector analysis. Clear, carefully constructed line drawings illustrate key points in the text, and problem sets as well as physical examples are provided.
Author | : Stefano Biagi |
Publisher | : World Scientific |
Total Pages | : 450 |
Release | : 2018-12-05 |
Genre | : Mathematics |
ISBN | : 9813276630 |
Download An Introduction To The Geometrical Analysis Of Vector Fields: With Applications To Maximum Principles And Lie Groups Book in PDF, ePub and Kindle
This book provides the reader with a gentle path through the multifaceted theory of vector fields, starting from the definitions and the basic properties of vector fields and flows, and ending with some of their countless applications, in the framework of what is nowadays called Geometrical Analysis. Once the background material is established, the applications mainly deal with the following meaningful settings:
Author | : Gilbert de B. Robinson |
Publisher | : Courier Corporation |
Total Pages | : 194 |
Release | : 2013-10-10 |
Genre | : Mathematics |
ISBN | : 0486321045 |
Download Vector Geometry Book in PDF, ePub and Kindle
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.
Author | : Orestes N. Stavroudis |
Publisher | : John Wiley & Sons |
Total Pages | : 240 |
Release | : 2006-08-21 |
Genre | : Science |
ISBN | : 352760829X |
Download The Mathematics of Geometrical and Physical Optics Book in PDF, ePub and Kindle
In this sequel to his book, "The Optics of Rays, Wavefronts, and Caustics," Stavroudis not only covers his own research results, but also includes more recent developments. The book is divided into three parts, starting with basic mathematical concepts that are further applied in the book. Surface geometry is treated with classical mathematics, while the second part covers the k-function, discussing and solving the eikonal equation as well as Maxwell equations in this context. A final part on applications consists of conclusions drawn or developed in the first two parts of the book, discussing such topics as the Cartesian oval, the modern Schiefspiegler, Huygen's principle, and Maxwell's model of Gauss' perfect lens.
Author | : Joaquim M. Domingos |
Publisher | : World Scientific |
Total Pages | : 82 |
Release | : 2006 |
Genre | : Mathematics |
ISBN | : 9812700447 |
Download Geometrical Properties of Vectors and Convectors Book in PDF, ePub and Kindle
This is a brief introduction to some geometrical topics including topological spaces, the metric tensor, Euclidean space, manifolds, tensors, r-forms, the orientation of a manifold and the Hodge star operator. It provides the reader who is approaching the subject for the first time with a deeper understanding of the geometrical properties of vectors and covectors. The material prepares the reader for discussions on basic concepts such as the differential of a function as a covector, metric dual, inner product, wedge product and cross product.J M Domingos received his D Phil from the University of Oxford and has now retired from the post of Professor of Physics at the University of Coimbra, Portugal.
Author | : Ann Hirst |
Publisher | : Elsevier |
Total Pages | : 149 |
Release | : 1995-08-17 |
Genre | : Mathematics |
ISBN | : 0340614692 |
Download Vectors in Two Or Three Dimensions Book in PDF, ePub and Kindle
The book provides an introduction to vectors from their very basics. The author has approached the subject from a geometrical standpoint and although applications to mechanics will be pointed out and techniques from linear algebra employed, it is the geometric view which is emphasized throughout.
Author | : Dan Pedoe |
Publisher | : Courier Corporation |
Total Pages | : 466 |
Release | : 2013-04-02 |
Genre | : Mathematics |
ISBN | : 0486131734 |
Download Geometry: A Comprehensive Course Book in PDF, ePub and Kindle
Introduction to vector algebra in the plane; circles and coaxial systems; mappings of the Euclidean plane; similitudes, isometries, Moebius transformations, much more. Includes over 500 exercises.
Author | : John Stillwell |
Publisher | : Springer Science & Business Media |
Total Pages | : 240 |
Release | : 2005-08-09 |
Genre | : Mathematics |
ISBN | : 0387255303 |
Download The Four Pillars of Geometry Book in PDF, ePub and Kindle
This book is unique in that it looks at geometry from 4 different viewpoints - Euclid-style axioms, linear algebra, projective geometry, and groups and their invariants Approach makes the subject accessible to readers of all mathematical tastes, from the visual to the algebraic Abundantly supplemented with figures and exercises
Author | : David Hestenes |
Publisher | : Springer Science & Business Media |
Total Pages | : 340 |
Release | : 1984 |
Genre | : Mathematics |
ISBN | : 9789027725615 |
Download Clifford Algebra to Geometric Calculus Book in PDF, ePub and Kindle
Matrix algebra has been called "the arithmetic of higher mathematics" [Be]. We think the basis for a better arithmetic has long been available, but its versatility has hardly been appreciated, and it has not yet been integrated into the mainstream of mathematics. We refer to the system commonly called 'Clifford Algebra', though we prefer the name 'Geometric Algebra' suggested by Clifford himself. Many distinct algebraic systems have been adapted or developed to express geometric relations and describe geometric structures. Especially notable are those algebras which have been used for this purpose in physics, in particular, the system of complex numbers, the quaternions, matrix algebra, vector, tensor and spinor algebras and the algebra of differential forms. Each of these geometric algebras has some significant advantage over the others in certain applications, so no one of them provides an adequate algebraic structure for all purposes of geometry and physics. At the same time, the algebras overlap considerably, so they provide several different mathematical representations for individual geometrical or physical ideas.