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Bücher Englische Bücher Wissen & Bildung Naturwissenschaft, Medizin, Informatik, Technik Mathematik Arithmetik & Algebra Advanced Linear and Matrix Algebra
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Advanced Linear and Matrix Algebra
Nathaniel Johnston (Broschiert, Englisch)
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Beschreibung
This textbook emphasizes the interplay between algebra and geometry to motivate the study of advanced linear algebra techniques. Matrices and linear transformations are presented as two sides of the same coin, with their connection motivating inquiry throughout the book. Building on a first course in linear algebra, this book offers readers a deeper understanding of abstract structures, matrix… decompositions, multilinearity, and tensors. Concepts draw on concrete examples throughout, offering accessible pathways to advanced techniques. Beginning with a study of vector spaces that includes coordinates, isomorphisms, orthogonality, and projections, the book goes on to focus on matrix decompositions. Numerous decompositions are explored, including the Shur, spectral, singular value, and Jordan decompositions. In each case, the author ties the new technique back to familiar ones, to create a coherent set of tools. Tensors and multilinearity complete the book, with a study of the Kronecker product, multilinear transformations, and tensor products. Throughout, “Extra Topic” sections augment the core content with a wide range of ideas and applications, from the QR and Cholesky decompositions, to matrix-valued linear maps and semidefinite programming. Exercises of all levels accompany each section. Advanced Linear and Matrix Algebra offers students of mathematics, data analysis, and beyond the essential tools and concepts needed for further study. The engaging color presentation and frequent marginal notes showcase the author’s visual approach. A first course in proof-based linear algebra is assumed. An ideal preparation can be found in the author’s companion volume, Introduction to Linear and Matrix Algebra . Dieses Produkt haben wir gerade leider nicht auf Lager.
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Technische Daten
Erscheinungsdatum
21.05.2022
Sprache
Englisch
EAN
9783030528171
Herausgeber
Springer International Publishing
Sonderedition
Nein
Autor
Nathaniel Johnston
Seitenanzahl
494
Einbandart
Broschiert
Schlagwörter
Second course in linear algebra textbook, Linear algebra textbook, Matrix algebra textbook, Matrix algebra vs linear algebra, Vector spaces, Linear transformation matrix, Isomorphism linear algebra, Projections linear algebra, Tensor products textbook, Matrix decomposition, Singular value decomposition, Jordan decomposition, Schur triangularization, Spectral decomposition, Kronecker product, Multilinear transformations, QR decomposition, Cholesky decomposition, Multilinearity, Multilinear transformations
Thema-Inhalt
PBF - Algebra
Höhe
254 mm
Breite
17.8 cm
Hersteller: Springer, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com, Springer Nature Customer Service Center GmbH
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