 07. Februar 2022 - 1 neuer Link
 Linear Algebra - As an Introduction to Abstract Mathematics Beschreibung: Free online text by Isaiah Lankham, Bruno Nachtergaele and Anne Schilling Linear Algebra - As an Introduction to Abstract Mathematics is an introductory textbook designed for undergraduate mathematics majors with an emphasis on abstraction and in particular the concept of proofs in the setting of linear algebra. Typically such a student will have taken calculus, though the only prerequisite is suitable mathematical maturity. The purpose of this book is to bridge the gap between the more conceptual and computational oriented lower division undergraduate classes to the more abstract oriented upper division classes. The book begins with systems of linear equations and complex numbers, then relates these to the abstract notion of linear maps on finite-dimensional vector spaces, and covers diagonalization, eigenspaces, determinants, and the Spectral Theorem. Each chapter concludes with both proof-writing and computational exercises. Content: 1. What is linear algebra 2. Introduction to complex numbers 3. The fundamental theorem of algebra and factoring polynomials 4. Vector spaces 5. Span and bases 6. Linear maps 7. Eigenvalues and eigenvectors 8. Permutations and the determinant 9. Inner product spaces 10. Change of bases 11. The spectral theorem for normal linear maps 12. Supplementary notes on matrices and linear systems Appendix: The language of sets and functions; algebraic structures encountered; common math symbols; notation used PDF version of book: http://www.math.ucdavis.edu/~anne/linear_algebra/mat67_course_notes.pdf Eingefügt am 07 02 2022 vorgeschlagen von AlphaSigma Hits: 41Selbst bewerten | Details | Ungültigen Link mitteilen | Url/Beschreibung ändernKategorie: Mathematik / Lineare Algebra

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