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Linear Algebra

Theory, Intuition, Code

Autor*innen

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Linear algebra is a crucial branch of mathematics for computational sciences, encompassing machine learning, AI, data science, statistics, simulations, computer graphics, and signal processing. Traditional textbooks often present linear algebra differently from its practical applications in these fields. For instance, while the "determinant" of a matrix is significant in theory, its practical utility may be limited. This book is designed for those eager to grasp mathematical concepts in linear algebra and matrix analysis while applying them to data analyses on computers, such as statistics and signal processing. Key features include clear explanations of concepts and theories, multiple perspectives on the same ideas to enhance learning, and visualizations that bolster geometric intuition. Implementations in MATLAB and Python are emphasized, as real-world applications require software proficiency. The content ranges from beginner to intermediate topics, covering vectors, matrix multiplications, least-squares projections, eigendecomposition, and singular-value decomposition. The focus is on modern, application-oriented aspects of linear algebra, with intuitive visual explanations of diagonalization, eigenvalues, and eigenvectors. The book also includes codes for practical understanding and a mix of hand-solved exercises and advanced coding challenges, reinforcing that math is an active pursuit, not a passive one.

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Linear Algebra, Mike X. Cohen

Sprache
Erscheinungsdatum
2021
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Titel
Linear Algebra
Untertitel
Theory, Intuition, Code
Sprache
Englisch
Autor*innen
Mike X. Cohen
Erscheinungsdatum
2021
Einband
Paperback
Seitenzahl
589
ISBN10
9083136604
ISBN13
9789083136608
Reihe
Beschreibung
Linear algebra is a crucial branch of mathematics for computational sciences, encompassing machine learning, AI, data science, statistics, simulations, computer graphics, and signal processing. Traditional textbooks often present linear algebra differently from its practical applications in these fields. For instance, while the "determinant" of a matrix is significant in theory, its practical utility may be limited. This book is designed for those eager to grasp mathematical concepts in linear algebra and matrix analysis while applying them to data analyses on computers, such as statistics and signal processing. Key features include clear explanations of concepts and theories, multiple perspectives on the same ideas to enhance learning, and visualizations that bolster geometric intuition. Implementations in MATLAB and Python are emphasized, as real-world applications require software proficiency. The content ranges from beginner to intermediate topics, covering vectors, matrix multiplications, least-squares projections, eigendecomposition, and singular-value decomposition. The focus is on modern, application-oriented aspects of linear algebra, with intuitive visual explanations of diagonalization, eigenvalues, and eigenvectors. The book also includes codes for practical understanding and a mix of hand-solved exercises and advanced coding challenges, reinforcing that math is an active pursuit, not a passive one.