Vector Geometry And Linear Algebra
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Author |
: Igor R. Shafarevich |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 536 |
Release |
: 2012-08-23 |
ISBN-10 |
: 9783642309946 |
ISBN-13 |
: 3642309941 |
Rating |
: 4/5 (46 Downloads) |
Synopsis Linear Algebra and Geometry by : Igor R. Shafarevich
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 |
: Melvin Hausner |
Publisher |
: Courier Dover Publications |
Total Pages |
: 417 |
Release |
: 2018-10-17 |
ISBN-10 |
: 9780486835396 |
ISBN-13 |
: 0486835391 |
Rating |
: 4/5 (96 Downloads) |
Synopsis A Vector Space Approach to Geometry by : Melvin Hausner
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 |
: Gilbert de B. Robinson |
Publisher |
: Courier Corporation |
Total Pages |
: 194 |
Release |
: 2013-10-10 |
ISBN-10 |
: 9780486321042 |
ISBN-13 |
: 0486321045 |
Rating |
: 4/5 (42 Downloads) |
Synopsis Vector Geometry by : Gilbert de B. Robinson
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 |
: Thomas Banchoff |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 316 |
Release |
: 2012-12-06 |
ISBN-10 |
: 9781461243908 |
ISBN-13 |
: 1461243904 |
Rating |
: 4/5 (08 Downloads) |
Synopsis Linear Algebra Through Geometry by : Thomas Banchoff
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 |
: Stephen Boyd |
Publisher |
: Cambridge University Press |
Total Pages |
: 477 |
Release |
: 2018-06-07 |
ISBN-10 |
: 9781316518960 |
ISBN-13 |
: 1316518965 |
Rating |
: 4/5 (60 Downloads) |
Synopsis Introduction to Applied Linear Algebra by : Stephen Boyd
A groundbreaking introduction to vectors, matrices, and least squares for engineering applications, offering a wealth of practical examples.
Author |
: Max Jeger |
Publisher |
: Interscience Publishers |
Total Pages |
: 276 |
Release |
: 1967 |
ISBN-10 |
: UOM:39015038941491 |
ISBN-13 |
: |
Rating |
: 4/5 (91 Downloads) |
Synopsis Vector Geometry and Linear Algebra by : Max Jeger
Translation of Einfèuhrung in die vektorielle Geometrie und lineare Algebra (fèur Ingenieure und Naturwissenschafter)
Author |
: Irving Kaplansky |
Publisher |
: Courier Corporation |
Total Pages |
: 182 |
Release |
: 2003-01-01 |
ISBN-10 |
: 0486432335 |
ISBN-13 |
: 9780486432335 |
Rating |
: 4/5 (35 Downloads) |
Synopsis Linear Algebra and Geometry by : Irving Kaplansky
The author of this text seeks to remedy a common failing in teaching algebra: the neglect of related instruction in geometry. Focusing on inner product spaces, orthogonal similarity, and elements of geometry, this volume is illustrated with an abundance of examples, exercises, and proofs and is suitable for both undergraduate and graduate courses. 1974 edition.
Author |
: Bruce Solomon |
Publisher |
: CRC Press |
Total Pages |
: 474 |
Release |
: 2014-12-12 |
ISBN-10 |
: 9781482299304 |
ISBN-13 |
: 1482299305 |
Rating |
: 4/5 (04 Downloads) |
Synopsis Linear Algebra, Geometry and Transformation by : Bruce Solomon
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 |
: |
Publisher |
: Krishna Prakashan Media |
Total Pages |
: 572 |
Release |
: |
ISBN-10 |
: |
ISBN-13 |
: |
Rating |
: 4/5 ( Downloads) |
Synopsis Geometry & Vectors by :
Author |
: K.T. Leung |
Publisher |
: Hong Kong University Press |
Total Pages |
: 357 |
Release |
: 1994-08-01 |
ISBN-10 |
: 9789622093607 |
ISBN-13 |
: 9622093604 |
Rating |
: 4/5 (07 Downloads) |
Synopsis Vectors, Matrices and Geometry by : K.T. Leung
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).