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in Resource type = e-Books
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- Title
- Description
- This book contains integers, groups, cyclic groups, permutation groups, cosets and Lagrange's Theorem, introduction to cryptography, algebraic coding theory, isomorphisms, normal subgroups and factor groups, homomorphisms, matrix groups and symmetry, structure of groups, group actions, the Sylow Theorems, rings, polynomials, integral domains, lattices and Boolean algebras, vector spaces, fields, finite fields and Galois theory
- Author
- Thomas W. Judson
- http://abstract.ups.edu/
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- Title
- Description
- This book contains real and complex numbers, the limit of a sequence of numbers, functions and continuity, differentiation and local behaviour, integration and average behaviour, integration over smooth curves in the plane, the fundamental theorem of algebra and the fundamental theorem of analysis.
- Author
- Lawrence W. Baggett
- http://spot.colorado.edu/~baggett/analysis.html
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- Title
- Description
- This book includes linear equations, matrices, subspaces, determinants, complex numbers, eigenvalues and eigenvectors, identifying second degree equations and three-dimensional geometry. Solutions to the exercises are available in a separate document.
- Author
- K. R. Matthews
- http://www.numbertheory.org/book/
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- Title
- Description
- This document includes solutions to the exercises found in the book Elementary Linear Algebra by Keith Matthews (which includes linear equations, matrices, subspaces, determinants, complex numbers, eigenvalues and eigenvectors, identifying second degree equations and three-dimensional geometry).
- Author
- K. R. Matthews
- http://www.numbertheory.org/book/
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- Title
- Description
- This book contains chapters on the background and fundamentals of mathematics, groups, rings, matrices and matrix rings and linear algebra.
- Author
- E. H. Connell
- http://www.math.miami.edu/~ec/book/
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- Title
- Description
- This book includes number theory, sets, functions and relations, infinity and Peano axioms. Answers to the exercises are available in a separate document.
- Author
- Jim Hefferon
- http://joshua.smcvt.edu/proofs/
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- Title
- Description
- This document includes answers to the exercises that can by found in the book Inquiry-Based Introduction to Proofs by Jim Hefferon (which includes number theory, sets, functions and relations, infinity and Peano axioms).
- Author
- Jim Hefferon
- http://joshua.smcvt.edu/proofs/
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- Title
- Description
- This book (in two volumes) contains chapters on elementary matrix theory; sets, relations and functions; groups, rings and fields; vector spaces; linear transformations; determinants and matrices; spectral decompositions; tensor algebra and exterior alge...
- Author
- Ray M. Bowen; C.-C. Wang
- http://rbowen.tamu.edu/
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- Title
- Description
- This book (in two volumes) contains chapters on Euclidean manifolds, vector fields and differential forms, hypersurfaces in a Euclidean manifold, elements of classical continuous groups and integration of fields on Euclidean manifolds, hypersurfaces and continuous groups.
- Author
- Ray M. Bowen; C.-C. Wang
- http://rbowen.tamu.edu/
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- Title
- Description
- This book on Lie algebras covers: the Campbell Baker Hausdorff Formula; sl(2) and its representations; the classical simple algebras; Engel-Lie-Cartan-Weyl; the conjugacy of Cartan sub-algebras; simple finite dimensional algebras; cyclic highest weight modules; Serre's theorem; Clifford algebras and spin representations; the Kostant Dirac operator; and the centre of U(g). The book was written by Shlomo Sternberg from the Department of Mathematics, Harvard University, USA.
- Author
- Shlomo Sternberg
- Publisher
- Department of Mathematics, Harvard University
- http://www.math.harvard.edu/~shlomo/docs/lie_algebras.pdf
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- Title
- Description
- This book includes linear systems, vector spaces, maps between spaces, determinants and similarity. Answers to the exercise are available in a separate document.
- Author
- Jim Hefferon
- http://joshua.smcvt.edu/linalg.html/
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- Title
- Description
- This book on linear algebra and infinite dimensional spaces includes chapters about decomposition for matrices, transformations in inner-product spaces, the Gerschgorin Circle Theorem, convergence, orthogonality, projections, orthonormal vectors, the finite dimensional paradigm, bounded linear maps, differential equations, adjoint operators, compact sets, compact operators, the Eigenvalue problem, normal operators, the Fredholm alternative theorems, closed operators and approximation in a Hilbert space. These chapters cover applications to differential equations and the simple paradigm from E to E.
- Author
- James Herod
- http://people.math.gatech.edu/~herod/Hspace/Hspace.html
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- Title
- Description
- This book on linear algebra and infinite dimensional spaces includes chapters about decomposition for matrices, transformations in inner-product spaces, the Gerschgorin Circle Theorem, convergence, orthogonality, projections, orthonormal vectors, the finite dimensional paradigm, bounded linear maps, differential equations, adjoint operators, compact sets, compact operators, the Eigenvalue problem, normal operators, the Fredholm alternative theorems, closed operators and approximation in a Hilbert space. These chapters cover adjoint operators and compact sets.
- Author
- James Herod
- http://people.math.gatech.edu/~herod/Hspace/Hspace.html
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- Title
- Description
- This book on linear algebra and infinite dimensional spaces includes chapters about decomposition for matrices, transformations in inner-product spaces, the Gerschgorin Circle Theorem, convergence, orthogonality, projections, orthonormal vectors, the finite dimensional paradigm, bounded linear maps, differential equations, adjoint operators, compact sets, compact operators, the Eigenvalue problem, normal operators, the Fredholm alternative theorems, closed operators and approximation in a Hilbert space. These chapters cover compact operators and the space of bounded linear operators.
- Author
- James Herod
- http://people.math.gatech.edu/~herod/Hspace/Hspace.html
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- Title
- Description
- This book on linear algebra and infinite dimensional spaces includes chapters about decomposition for matrices, transformations in inner-product spaces, the Gerschgorin Circle Theorem, convergence, orthogonality, projections, orthonormal vectors, the finite dimensional paradigm, bounded linear maps, differential equations, adjoint operators, compact sets, compact operators, the Eigenvalue problem, normal operators, the Fredholm alternative theorems, closed operators and approximation in a Hilbert space. These chapters cover the Eigenvalue problem and normal operators and the more general paradigm.
- Author
- James Herod
- http://people.math.gatech.edu/~herod/Hspace/Hspace.html
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- Title
- Description
- This book on linear algebra and infinite dimensional spaces includes chapters about decomposition for matrices, transformations in inner-product spaces, the Gerschgorin Circle Theorem, convergence, orthogonality, projections, orthonormal vectors, the finite dimensional paradigm, bounded linear maps, differential equations, adjoint operators, compact sets, compact operators, the Eigenvalue problem, normal operators, the Fredholm alternative theorems, closed operators and approximation in a Hilbert space. These chapters cover compact operators & orthonormal families and a characterisation of compact operators.
- Author
- James Herod
- http://people.math.gatech.edu/~herod/Hspace/Hspace.html
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- Title
- Description
- This book on linear algebra and infinite dimensional spaces includes chapters about decomposition for matrices, transformations in inner-product spaces, the Gerschgorin Circle Theorem, convergence, orthogonality, projections, orthonormal vectors, the finite dimensional paradigm, bounded linear maps, differential equations, adjoint operators, compact sets, compact operators, the Eigenvalue problem, normal operators, the Fredholm alternative theorems, closed operators and approximation in a Hilbert space. This chapter is about decomposition for matrices and Exp(tA).
- Author
- James Herod
- http://people.math.gatech.edu/~herod/Hspace/Hspace.html
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- Title
- Description
- This book on linear algebra and infinite dimensional spaces includes chapters about decomposition for matrices, transformations in inner-product spaces, the Gerschgorin Circle Theorem, convergence, orthogonality, projections, orthonormal vectors, the finite dimensional paradigm, bounded linear maps, differential equations, adjoint operators, compact sets, compact operators, the Eigenvalue problem, normal operators, the Fredholm alternative theorems, closed operators and approximation in a Hilbert space. These chapters cover the Fredholm alternative theorems and closed operators.
- Author
- James Herod
- http://people.math.gatech.edu/~herod/Hspace/Hspace.html
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- Title
- Description
- This book on linear algebra and infinite dimensional spaces includes chapters about decomposition for matrices, transformations in inner-product spaces, the Gerschgorin Circle Theorem, convergence, orthogonality, projections, orthonormal vectors, the finite dimensional paradigm, bounded linear maps, differential equations, adjoint operators, compact sets, compact operators, the Eigenvalue problem, normal operators, the Fredholm alternative theorems, closed operators and approximation in a Hilbert space. This chapter covers the deficiency of A.
- Author
- James Herod
- http://people.math.gatech.edu/~herod/Hspace/Hspace.html
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- Title
- Description
- This book on linear algebra and infinite dimensional spaces includes chapters about decomposition for matrices, transformations in inner-product spaces, the Gerschgorin Circle Theorem, convergence, orthogonality, projections, orthonormal vectors, the finite dimensional paradigm, bounded linear maps, differential equations, adjoint operators, compact sets, compact operators, the Eigenvalue problem, normal operators, the Fredholm alternative theorems, closed operators and approximation in a Hilbert space. This chapter covers problems in control.
- Author
- James Herod
- http://people.math.gatech.edu/~herod/Hspace/Hspace.html
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- Title
- Description
- This book on linear algebra and infinite dimensional spaces includes chapters about decomposition for matrices, transformations in inner-product spaces, the Gerschgorin Circle Theorem, convergence, orthogonality, projections, orthonormal vectors, the finite dimensional paradigm, bounded linear maps, differential equations, adjoint operators, compact sets, compact operators, the Eigenvalue problem, normal operators, the Fredholm alternative theorems, closed operators and approximation in a Hilbert space. This chapter covers approximation in a Hilbert Space with a reproducing kernel.
- Author
- James Herod
- http://people.math.gatech.edu/~herod/Hspace/Hspace.html
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- Title
- Description
- This book on linear algebra and infinite dimensional spaces includes chapters about decomposition for matrices, transformations in inner-product spaces, the Gerschgorin Circle Theorem, convergence, orthogonality, projections, orthonormal vectors, the finite dimensional paradigm, bounded linear maps, differential equations, adjoint operators, compact sets, compact operators, the Eigenvalue problem, normal operators, the Fredholm alternative theorems, closed operators and approximation in a Hilbert space. These two chapters cover self adjoint transformations in inner-product spaces and the Gerschgorin Circle Theorem.
- Author
- James Herod
- http://people.math.gatech.edu/~herod/Hspace/Hspace.html
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- Title
- Description
- This book on linear algebra and infinite dimensional spaces includes chapters about decomposition for matrices, transformations in inner-product spaces, the Gerschgorin Circle Theorem, convergence, orthogonality, projections, orthonormal vectors, the finite dimensional paradigm, bounded linear maps, differential equations, adjoint operators, compact sets, compact operators, the Eigenvalue problem, normal operators, the Fredholm alternative theorems, closed operators and approximation in a Hilbert space. These chapters cover convergence and orthogonality and closest point projection.
- Author
- James Herod
- http://people.math.gatech.edu/~herod/Hspace/Hspace.html
-
- Title
- Description
- This book on linear algebra and infinite dimensional spaces includes chapters about decomposition for matrices, transformations in inner-product spaces, the Gerschgorin Circle Theorem, convergence, orthogonality, projections, orthonormal vectors, the finite dimensional paradigm, bounded linear maps, differential equations, adjoint operators, compact sets, compact operators, the Eigenvalue problem, normal operators, the Fredholm alternative theorems, closed operators and approximation in a Hilbert space. These chapters cover orthogonal, nonexpansive & self-adjoint projections and orthonormal vectors.
- Author
- James Herod
- http://people.math.gatech.edu/~herod/Hspace/Hspace.html
-
- Title
- Description
- This book on linear algebra and infinite dimensional spaces includes chapters about decomposition for matrices, transformations in inner-product spaces, the Gerschgorin Circle Theorem, convergence, orthogonality, projections, orthonormal vectors, the finite dimensional paradigm, bounded linear maps, differential equations, adjoint operators, compact sets, compact operators, the Eigenvalue problem, normal operators, the Fredholm alternative theorems, closed operators and approximation in a Hilbert space. These chapters cover the finite dimensional paradigm and bounded linear maps from E to C.
- Author
- James Herod
- http://people.math.gatech.edu/~herod/Hspace/Hspace.html