Linear Algebra, Geometry and Transformation PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Linear Algebra, Geometry and Transformation PDF full book. Access full book title Linear Algebra, Geometry and Transformation by Bruce Solomon. Download full books in PDF and EPUB format.
Author: Bruce Solomon
Publisher: CRC Press
ISBN: 1482299305
Category : Mathematics
Languages : en
Pages : 469
Get Book Here
Book Description
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: Bruce Solomon
Publisher: CRC Press
ISBN: 1482299305
Category : Mathematics
Languages : en
Pages : 469
Get Book Here
Book Description
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: Bruce Solomon
Publisher: Chapman & Hall/CRC
ISBN: 9781482299281
Category : Mathematics
Languages : en
Pages : 0
Get Book Here
Book Description
"Starting with all the standard topics of a first course in linear algebra, this text then introduces linear mappings, and the questions they raise, with the expectation of resolving those questions throughout the book. Ultimately, by providing an emphasis on developing computational and conceptual skills, students are elevated from the computational mathematics that often dominates their experience prior to the course to the conceptual reasoning that often dominates at the conclusion"--
Author: Thomas Banchoff
Publisher: Springer Science & Business Media
ISBN: 1461243904
Category : Mathematics
Languages : en
Pages : 316
Get Book Here
Book Description
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: Theodore Shifrin
Publisher: Macmillan
ISBN: 1429215216
Category : Mathematics
Languages : en
Pages : 394
Get Book Here
Book Description
Linear Algebra: A Geometric Approach, Second Edition, presents the standard computational aspects of linear algebra and includes a variety of intriguing interesting applications that would be interesting to motivate science and engineering students, as well as help mathematics students make the transition to more abstract advanced courses. The text guides students on how to think about mathematical concepts and write rigorous mathematical arguments.
Author: George E. Martin
Publisher: Springer Science & Business Media
ISBN: 1461256801
Category : Mathematics
Languages : en
Pages : 251
Get Book Here
Book Description
Transformation Geometry: An Introduction to Symmetry offers a modern approach to Euclidean Geometry. This study of the automorphism groups of the plane and space gives the classical concrete examples that serve as a meaningful preparation for the standard undergraduate course in abstract algebra. The detailed development of the isometries of the plane is based on only the most elementary geometry and is appropriate for graduate courses for secondary teachers.
Author: Emil Artin
Publisher: Courier Dover Publications
ISBN: 048680920X
Category : Mathematics
Languages : en
Pages : 228
Get Book Here
Book Description
This concise classic presents advanced undergraduates and graduate students in mathematics with an overview of geometric algebra. The text originated with lecture notes from a New York University course taught by Emil Artin, one of the preeminent mathematicians of the twentieth century. The Bulletin of the American Mathematical Society praised Geometric Algebra upon its initial publication, noting that "mathematicians will find on many pages ample evidence of the author's ability to penetrate a subject and to present material in a particularly elegant manner." Chapter 1 serves as reference, consisting of the proofs of certain isolated algebraic theorems. Subsequent chapters explore affine and projective geometry, symplectic and orthogonal geometry, the general linear group, and the structure of symplectic and orthogonal groups. The author offers suggestions for the use of this book, which concludes with a bibliography and index.
Author: Giovanni Landi
Publisher: Springer
ISBN: 3319783610
Category : Science
Languages : en
Pages : 348
Get Book Here
Book Description
A self-contained introduction to finite dimensional vector spaces, matrices, systems of linear equations, spectral analysis on euclidean and hermitian spaces, affine euclidean geometry, quadratic forms and conic sections. The mathematical formalism is motivated and introduced by problems from physics, notably mechanics (including celestial) and electro-magnetism, with more than two hundreds examples and solved exercises.Topics include: The group of orthogonal transformations on euclidean spaces, in particular rotations, with Euler angles and angular velocity. The rigid body with its inertia matrix. The unitary group. Lie algebras and exponential map. The Dirac’s bra-ket formalism. Spectral theory for self-adjoint endomorphisms on euclidean and hermitian spaces. The Minkowski spacetime from special relativity and the Maxwell equations. Conic sections with the use of eccentricity and Keplerian motions. An appendix collects basic algebraic notions like group, ring and field; and complex numbers and integers modulo a prime number.The book will be useful to students taking a physics or engineer degree for a basic education as well as for students who wish to be competent in the subject and who may want to pursue a post-graduate qualification.
Author: Charles G. Cullen
Publisher: Courier Corporation
ISBN: 0486132412
Category : Mathematics
Languages : en
Pages : 338
Get Book Here
Book Description
Undergraduate-level introduction to linear algebra and matrix theory. Explores matrices and linear systems, vector spaces, determinants, spectral decomposition, Jordan canonical form, much more. Over 375 problems. Selected answers. 1972 edition.
Author: Clayton W. Dodge
Publisher: Courier Corporation
ISBN: 0486138429
Category : Mathematics
Languages : en
Pages : 306
Get Book Here
Book Description
This introduction to Euclidean geometry emphasizes transformations, particularly isometries and similarities. Suitable for undergraduate courses, it includes numerous examples, many with detailed answers. 1972 edition.
Author: Lina Oliveira
Publisher: CRC Press
ISBN: 1351243446
Category : Mathematics
Languages : en
Pages : 329
Get Book Here
Book Description
Linear Algebra is intended primarily as an undergraduate textbook but is written in such a way that it can also be a valuable resource for independent learning. The narrative of the book takes a matrix approach: the exposition is intertwined with matrices either as the main subject or as tools to explore the theory. Each chapter contains a description of its aims, a summary at the end of the chapter, exercises, and solutions. The reader is carefully guided through the theory and techniques presented which are outlined throughout in "How to..." text boxes. Common mistakes and pitfalls are also pointed out as one goes along. Features Written to be self-contained Ideal as a primary textbook for an undergraduate course in linear algebra Applications of the general theory which are of interest to disciplines outside of mathematics, such as engineering
