Advanced Linear and Matrix Algebra
Springer International Publishing (Verlag)
978-3-030-52814-0 (ISBN)
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.
Nathaniel Johnston is an Associate Professor of Mathematics at Mount Allison University in New Brunswick, Canada. His research makes use of linear algebra, matrix analysis, and convex optimization to tackle questions related to the theory of quantum entanglement. His companion volume, Introduction to Linear and Matrix Algebra , is also published by Springer.
Chapter 1: Vector Spaces.- Chapter 2: Matrix Decompositions.- Chapter 3: Tensors and Multilinearity.- Appendix A: Mathematical Preliminaries.- Appendix B: Additional Proofs.- Appendix C: Selected Exercise Solutions.
"The book is well-organized. The main notions and results are well-presented, followed by a discussion and problems with detailed solutions. There are many helpful notes and examples. At the end of each section, the reader can frequently find several computational, true/false, or proof exercises. ... There are several illustrative and colorful figures. For instance, those illustrating the examples and remarks about the Gershgorin disc theorem or about the geometric interpretation of the positive semidefiniteness are really helpful." (Carlos M. da Fonseca, zbMATH 1471.15001, 2021)
“The book is well-organized. The main notions and results are well-presented, followed by a discussion and problems with detailed solutions. There are many helpful notes and examples. At the end of each section, the reader can frequently find several computational, true/false, or proof exercises. … There are several illustrative and colorful figures. For instance, those illustrating the examples and remarks about the Gershgorin disc theorem or about the geometric interpretation of the positive semidefiniteness are really helpful.” (Carlos M. da Fonseca, zbMATH 1471.15001, 2021)
Erscheinungsdatum | 21.05.2021 |
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Zusatzinfo | XVI, 494 p. 123 illus., 108 illus. in color. |
Verlagsort | Cham |
Sprache | englisch |
Maße | 178 x 254 mm |
Gewicht | 1250 g |
Themenwelt | Mathematik / Informatik ► Mathematik ► Algebra |
Schlagworte | Cholesky decomposition • Isomorphism linear algebra • jordan decomposition • Kronecker Product • linear algebra textbook • Linear transformation matrix • Matrix algebra textbook • Matrix algebra vs linear algebra • Matrix decomposition • Multilinearity • Multilinear transformations • Projections linear algebra • QR decomposition • Schur triangularization • Second course in linear algebra textbook • singular value decomposition • Spectral decomposition • Tensor products textbook • vector spaces |
ISBN-10 | 3-030-52814-6 / 3030528146 |
ISBN-13 | 978-3-030-52814-0 / 9783030528140 |
Zustand | Neuware |
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