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The authors describe their approach as functions first, believing introducing functions first will help students understand new concepts more completely. Click here if you prefer a categorized directory of mathematics books. The concepts of ring and field are introduced through study of the familiar examples of the integers and polynomials. Number systems and fields, vector spaces, linear independence, spanning and bases of vector spaces, subspaces, linear transformations, matrices, linear transformations and matrices, elementary operations and the rank of a matrix, the inverse of a linear. Two other notations which will become important when we solve equations are and. Download higher algebra harvard university book pdf free download link or read online here in pdf. Higher algebra by hall and knight is one of the popular books in mathematics students. College algebra offers a wealth of examples with detailed, conceptual explanations, building a strong foundation in the. This book therefore constitutes a oneyear course in modern algebra for those students who have been exposed to some linear algebra. Anyone can use this book globally, although the curriculum may differ slightly from one region to the other. A concrete introduction to higher algebra undergraduate.
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