Euclidean Linear Algebra

<p><em style=color: rgba(0 0 0 1)>Euclidean Linear Algebra</em><span style=color: rgba(0 0 0 1)> offers a concise and theoretical introduction to linear algebra with a plethora of examples a wide variety of problems and preparation for more advanced mathematics rather than external applications. This text provides purely computational exercises and theoretical problems ranked by difficulty allowing for a balance between computational practice and the development of critical thinking and theoretical mathematical thought.</span></p><p><span style=color: rgba(0 0 0 1)> </span></p><p><span style=color: rgba(0 0 0 1)>To support the emphasis on linear maps linear maps are introduced immediately after the necessary background on linear systems and vectors. Additional chapters explore properties of linear maps the image and kernel of linear maps operations on linear maps subspaces and dimension and their relationships to linear maps different forms of subspaces and how they allow us to intersect and add subspaces projection maps eigenvalues and eigenvectors of linear maps changing coordinates of linear maps diagonalizing linear maps coordinate independence orthogonality orthogonal projections isometries adjoints of linear maps and linear algebra with polynomials sequences and over the complex numbers. An appendix supports student learning with a definitions reference an objects chart an introduction to proof frameworks and answers to selected exercises.</span></p><p><span style=color: rgba(0 0 0 1)> </span></p><p><span style=color: rgba(0 0 0 1)>Developed to guide beginner students </span><em style=color: rgba(0 0 0 1)>Euclidean Linear Algebra</em><span style=color: rgba(0 0 0 1)> is an ideal resource for programs and courses in mathematics. Sheldon Axler's </span><em style=color: rgba(0 0 0 1)>Linear Algebra Done Right</em><span style=color: rgba(0 0 0 1)> is a great follow up for a secondary course in linear algebra.</span></p>