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24 results for "eigenvalues"
A Quick Guide to Computing Eigenvalues and Eigenvectors By Bruce Cooperstein
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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
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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
Departures By Kevin Brown
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This book presents several essays on mathematics and physics.
Linear Algebra By Jim Hefferon
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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
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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
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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
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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
The Relativistic Wave Equation By Ilija Barukcic
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Abstract. A unique fundamental and universal description of objective reality compatible with classical physics (i. e. using the mathematical and conceptual framework of quantum theory) is still not... More > possible. Classical physics and quantum physics differs drastically. One striking aspect of the difference between quantum physics and classical physics is whether a quantum mechanical object do possess exact, definite and simultaneous values (i. e. for its position and momentum at the same time or at a concrete quantum state). This publication will provide the prove, that it is possible to assign exact, definite and simultaneous values even to quantum mechanical observables.< Less
Numerical Linear Algebra By William Layton, Myron Sussman
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This textbook was designed for senior undergraduates in mathematics, engineering and the sciences with diverse backgrounds and goals. It presents modern tools from numerical linear algebra with... More > supporting theory along with examples and exercises, both theoretical and computational with MATLAB. The major topics of numerical linear algebra covered are direct methods for solving linear systems, iterative methods for large and sparse systems (including the conjugate gradient method) and eigenvalue problems.< Less
Numerical Linear Algebra By William Layton, Myron Sussman
eBook (PDF): $0.00
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This textbook was designed for senior undergraduates in mathematics, engineering and the sciences with diverse backgrounds and goals. It presents modern tools from numerical linear algebra with... More > supporting theory along with examples and exercises, both theoretical and computational with MATLAB. The major topics of numerical linear algebra covered are direct methods for solving linear systems, iterative methods for large and sparse systems (including the conjugate gradient method) and eigenvalue problems. Basic linear algebra (of the type taken in the engineering curriculum) is assumed. Further matrix theory is developed in a self contained way when needed to explain why methods work and how they might fail.< Less