Vector Geometry And Linear Algebra
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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 | : Igor R. Shafarevich |
Publisher | : Springer Science & Business Media |
Total Pages | : 536 |
Release | : 2012-08-23 |
Genre | : Mathematics |
ISBN | : 3642309941 |
This book on linear algebra and geometry is based on a course given by renowned academician I.R. Shafarevich at Moscow State University. The book begins with the theory of linear algebraic equations and the basic elements of matrix theory and continues with vector spaces, linear transformations, inner product spaces, and the theory of affine and projective spaces. The book also includes some subjects that are naturally related to linear algebra but are usually not covered in such courses: exterior algebras, non-Euclidean geometry, topological properties of projective spaces, theory of quadrics (in affine and projective spaces), decomposition of finite abelian groups, and finitely generated periodic modules (similar to Jordan normal forms of linear operators). Mathematical reasoning, theorems, and concepts are illustrated with numerous examples from various fields of mathematics, including differential equations and differential geometry, as well as from mechanics and physics.
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 | : Max Jeger |
Publisher | : Interscience Publishers |
Total Pages | : 276 |
Release | : 1967 |
Genre | : Mathematics |
ISBN | : |
Translation of Einfèuhrung in die vektorielle Geometrie und lineare Algebra (fèur Ingenieure und Naturwissenschafter)
Author | : Thomas Banchoff |
Publisher | : Springer Science & Business Media |
Total Pages | : 316 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 1461243904 |
This book introduces the concepts of linear algebra through the careful study of two and three-dimensional Euclidean geometry. This approach makes it possible to start with vectors, linear transformations, and matrices in the context of familiar plane geometry and to move directly to topics such as dot products, determinants, eigenvalues, and quadratic forms. The later chapters deal with n-dimensional Euclidean space and other finite-dimensional vector space.
Author | : |
Publisher | : Krishna Prakashan Media |
Total Pages | : 572 |
Release | : |
Genre | : |
ISBN | : |
Author | : Bruce Solomon |
Publisher | : CRC Press |
Total Pages | : 474 |
Release | : 2014-12-12 |
Genre | : Mathematics |
ISBN | : 1482299305 |
The Essentials of a First Linear Algebra Course and MoreLinear Algebra, Geometry and Transformation provides students with a solid geometric grasp of linear transformations. It stresses the linear case of the inverse function and rank theorems and gives a careful geometric treatment of the spectral theorem.An Engaging Treatment of the Interplay amo
Author | : Reinhold Baer |
Publisher | : Courier Corporation |
Total Pages | : 338 |
Release | : 2012-06-11 |
Genre | : Mathematics |
ISBN | : 0486154661 |
Geared toward upper-level undergraduates and graduate students, this text establishes that projective geometry and linear algebra are essentially identical. The supporting evidence consists of theorems offering an algebraic demonstration of certain geometric concepts. 1952 edition.
Author | : K.T. Leung |
Publisher | : Hong Kong University Press |
Total Pages | : 357 |
Release | : 1994-08-01 |
Genre | : Mathematics |
ISBN | : 9622093604 |
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).
Author | : Stephen Boyd |
Publisher | : Cambridge University Press |
Total Pages | : 477 |
Release | : 2018-06-07 |
Genre | : Business & Economics |
ISBN | : 1316518965 |
A groundbreaking introduction to vectors, matrices, and least squares for engineering applications, offering a wealth of practical examples.