Search Results: 'vector space'

Search

×
×
×
×
40 results for "vector space"
Introduction to Vector Space for Children By Ryan Shuell
eBook (ePub): $9.99
A vector space, also called a linear space, is a collection of objects called vectors, which may be added together and multiplied (scaled) by numbers, called scalars in this context. Scalars are... More > often taken to be real numbers, but there are also vector spaces with scalar multiplication by complex numbers, rational numbers, or generally any field. The operations of vector addition and scalar multiplication must satisfy certain requirements, called axioms.< Less
A Completely Differentiated Rotation Vector Field By Gary DeWoolfson
eBook (PDF): $1.55
Partial differentiation and tensor product space algebra are combined to produce fascinating results from vector and dual spaces. The mathematical constructs which emerge are then given an... More > application in a space that fills the image of a four dimensional bijective map with space-time points that are in a state of rotation about a single axis.< Less
Axially Rotating Vector Frames Completely Differentiated In Four Dimensional Space-time By Gary DeWoolfson
eBook (PDF): $3.77
Functions that multiply the vectors we obtain by differentiating space-time points partially with respect to scalar parameters that are in a 1-to-1 and onto relationship with the points may change... More > the size we associate with a given direction, but not the direction, so that by changing the coefficient functions we change the parallelepiped shapes associated with each origination of four different directions at each space-time point. Thusly do derivatives of products made between basis vectors and their coefficient functions become of geometric interest. Moreover, a 1-to-1 and onto relationship between space-time points and their four corresponding parametric scalar values connotes that the latter can be differentiated by means of gradients taken with respect to the coordinates of the former, so that meaningful shape changing in space-time nurtures expectations for complementary effects being useful to the regulation of the dual space that the gradients generate. These issues are explored herein.< Less
A Quick Guide to Computing Eigenvalues and Eigenvectors By Bruce Cooperstein
Paperback: $8.95
Prints in 3-5 business days
Eigenvalues and eigenvectors of matrices and linear operators are fundamental in mathematics. This short booklet is intended to be a self-contained treatment of how to determine the eigenvalues and... More > eigenvectors of a square matrix with real entries. It also includes a treatment on diagonalization: how to determine if a square matrix is similar to a diagonal matrix and how to find a diagonalizing matrix. It includes all the necessary background material and algorithms for computing the characteristic polynomial, eigenvalues and eigenspaces of a square matrix: how to solve linear systems using matrices, how to find a basis for the null space of a matrix, how to invert a matrix and how to compute a determinant. In the interest of making it entirely self-contained each section begins with a review of the relevant definitions.< Less
A Quick Guide to Computing Eigenvalues and Eigenvectors By Bruce Cooperstein
eBook (PDF): $2.50
Eigenvalues and eigenvectors of matrices and linear operators are fundamental in mathematics. This short booklet is intended to be a self-contained treatment of how to determine the eigenvalues and... More > eigenvectors of a square matrix with real entries. It also includes a treatment on diagonalization: how to determine if a square matrix is similar to a diagonal matrix and how to find a diagonalizing matrix. It includes all the necessary background material and algorithms for computing the characteristic polynomial, eigenvalues and eigenspaces of a square matrix: how to solve linear systems using matrices, how to find a basis for the null space of a matrix, how to invert a matrix and how to compute a determinant. In the interest of making it entirely self-contained each section begins with a review of the relevant definitions.< Less
Tensors made easy By Giancarlo Bernacchi
eBook (PDF): $0.00
MAY 2017 revised edition. An informal introduction to the Maths of General Relativity. No particular mathematical background required beyond calculus including partial derivatives.
Linear Algebra By Jim Hefferon
Hardcover: $26.23
Prints in 3-5 business days
Linear Algebra by Jim Hefferon is released under the GNU Free Documentation license. Electronic copies may be downloaded for free. Hardcover copies are available for the cost of manufacturing (the... More > publisher receives no additional revenue). The book covers the material of a first undergraduate Linear Algebra course. The coverage is standard: linear systems and Gauss' method, vector spaces, linear maps and matrices, determinants, and eigenvectors and eigenvalues. Prerequisites: a semester of calculus. Students with three semesters of calculus can skip a few sections. The approach is developmental. It does not start with an assumption that students are already able at abstract work. Instead, it proceeds with a great deal of motivation, many computational examples, and exercises that range from routine verifications to (a few) challenges. The goal is, in the context of developing the usual material of an undergraduate linear algebra course, to help raise the level of mathematical maturity of the class.< Less
Linear Algebra By Jim Hefferon
eBook (PDF): $0.00
Linear Algebra by Jim Hefferon is released under the GNU Free Documentation license. Electronic copies may be downloaded for free. Hardcover copies are available for the cost of manufacturing (the... More > publisher receives no additional revenue). The book covers the material of a first undergraduate Linear Algebra course. The coverage is standard: linear systems and Gauss' method, vector spaces, linear maps and matrices, determinants, and eigenvectors and eigenvalues. Prerequisites: a semester of calculus. Students with three semesters of calculus can skip a few sections. The approach is developmental. It does not start with an assumption that students are already able at abstract work. Instead, it proceeds with a great deal of motivation, many computational examples, and exercises that range from routine verifications to (a few) challenges. The goal is, in the context of developing the usual material of an undergraduate linear algebra course, to help raise the level of mathematical maturity of the class.< Less
Linear Algebra, Student Solutions Manual By Jim Hefferon
eBook (PDF): $0.00
Answers to exercises presented in Linear Algebra by Jim Hefferon. This book is released under the GNU Free Documentation license. Electronic copies may be downloaded for free. Paperback copies are... More > available for the cost of manufacturing (the publisher receives no additional revenue).< Less
Linear Algebra, Student Solutions Manual By Jim Hefferon
Paperback: $11.19
Prints in 3-5 business days
Answers to exercises presented in Linear Algebra by Jim Hefferon. This book is released under the GNU Free Documentation license. Electronic copies may be downloaded for free. Paperback copies are... More > available for the cost of manufacturing (the publisher receives no additional revenue).< Less