Linear Algebra for the Sciences
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Beschreibung
This book is based on a course for first-semester science students, held by the second author at the University of Zurich several times. Its goal is threefold: to have students learn a minimal working knowledge of linear algebra, acquire some computational skills, and familiarize them with mathematical language to make mathematical literature more accessible. Therefore, we give precise definitions, introduce helpful notations, and state any results carefully worded. We provide no proofs of these results but typically illustrate them with numerous examples. Additionally, for better understanding, we often give supporting arguments for why they are valid.
This book is based on a course for first-semester science students, held by the second author at the University of Zurich several times. Its goal is threefold: to have students learn a minimal working knowledge of linear algebra, acquire some computational skills, and familiarize them with mathematical language to make mathematical literature more accessible. Therefore, we give precise definitions, introduce helpful notations, and state any results carefully worded. We provide no proofs of these results but typically illustrate them with numerous examples. Additionally, for better understanding, we often give supporting arguments for why they are valid.
A concise introduction to linear algebra for first-semester science students Each section contains a problem set with solutions in the appendix Focuses on precise definitions, uses helpful notations and illustrates results with numerous examples
Autor*in
Manuel Benz
Themen in »Linear Algebra for the Sciences«
linear systems, matrices, vector spaces, linear maps, spectrum eigenvalues, eigenvectors, quadratic forms determinants, application to differential equations diagonalization of symmetric matrices inner product spaces, Gaussian elimination complex numbers