Geometry Vectors
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Author | : Gilbert de B. Robinson |
Publisher | : Courier Corporation |
Total Pages | : 194 |
Release | : 2013-10-10 |
Genre | : Mathematics |
ISBN | : 0486321045 |
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 | : Melvin Hausner |
Publisher | : Courier Dover Publications |
Total Pages | : 417 |
Release | : 2018-10-17 |
Genre | : Mathematics |
ISBN | : 0486835391 |
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.
Author | : Seymour Schuster |
Publisher | : |
Total Pages | : 213 |
Release | : 1962-01-01 |
Genre | : Geometry |
ISBN | : 9780471764946 |
Author | : Gabriel Weinreich |
Publisher | : University of Chicago Press |
Total Pages | : 132 |
Release | : 1998-07-06 |
Genre | : Mathematics |
ISBN | : 9780226890487 |
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 | : Miroslav Josipović |
Publisher | : Springer Nature |
Total Pages | : 241 |
Release | : 2019-11-22 |
Genre | : Mathematics |
ISBN | : 3030017567 |
This book enables the reader to discover elementary concepts of geometric algebra and its applications with lucid and direct explanations. Why would one want to explore geometric algebra? What if there existed a universal mathematical language that allowed one: to make rotations in any dimension with simple formulas, to see spinors or the Pauli matrices and their products, to solve problems of the special theory of relativity in three-dimensional Euclidean space, to formulate quantum mechanics without the imaginary unit, to easily solve difficult problems of electromagnetism, to treat the Kepler problem with the formulas for a harmonic oscillator, to eliminate unintuitive matrices and tensors, to unite many branches of mathematical physics? What if it were possible to use that same framework to generalize the complex numbers or fractals to any dimension, to play with geometry on a computer, as well as to make calculations in robotics, ray-tracing and brain science? In addition, what if such a language provided a clear, geometric interpretation of mathematical objects, even for the imaginary unit in quantum mechanics? Such a mathematical language exists and it is called geometric algebra. High school students have the potential to explore it, and undergraduate students can master it. The universality, the clear geometric interpretation, the power of generalizations to any dimension, the new insights into known theories, and the possibility of computer implementations make geometric algebra a thrilling field to unearth.
Author | : C. E. Springer |
Publisher | : Courier Corporation |
Total Pages | : 258 |
Release | : 2013-09-26 |
Genre | : Mathematics |
ISBN | : 048632091X |
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.
Author | : Ann Hirst |
Publisher | : Elsevier |
Total Pages | : 149 |
Release | : 1995-08-17 |
Genre | : Mathematics |
ISBN | : 0340614692 |
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 | : Serge Lang |
Publisher | : Springer Science & Business Media |
Total Pages | : 624 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 1461210682 |
This new, revised edition covers all of the basic topics in calculus of several variables, including vectors, curves, functions of several variables, gradient, tangent plane, maxima and minima, potential functions, curve integrals, Green’s theorem, multiple integrals, surface integrals, Stokes’ theorem, and the inverse mapping theorem and its consequences. It includes many completely worked-out problems.
Author | : |
Publisher | : Krishna Prakashan Media |
Total Pages | : 572 |
Release | : |
Genre | : |
ISBN | : |
Author | : Seymour Schuster |
Publisher | : |
Total Pages | : 228 |
Release | : 2008 |
Genre | : Mathematics |
ISBN | : |
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.