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E-Books | Biblioteca da FCTUNL Online | Não Ficção | QA184.SPR FCT 95977 (Browse shelf) | 1 | Available |
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QA184.SPR FCT 82890 Linear algebra | QA184.SPR FCT 82893 Álgebra linear | QA184.SPR FCT 95886 A polynomial approach to linear algebra | QA184.SPR FCT 95977 Linear algebra | QA184.SPR FCT 96198 The linear algebra a beginning graduate student ought to know | QA184.SPR FCT 96737 The mathematics of networks of linear systems | QA184.SPR FCT 97159 Infinite matrices and their recent applications |
Colocação: Online
This textbook on linear algebra includes the key topics of the subject that most advanced undergraduates need to learn before entering graduate school. All the usual topics, such as complex vector spaces, complex inner products, the Spectral theorem for normal operators, dual spaces, the minimal polynomial, the Jordan canonical form, and the rational canonical form, are covered, along with a chapter on determinants at the end of the book. In addition, there is material throughout the text on linear differential equations and how it integrates with all of the important concepts in linear algebra. This book has several distinguishing features that set it apart from other linear algebra texts. For example: Gaussian elimination is used as the key tool in getting at eigenvalues; it takes an essentially determinant-free approach to linear algebra; and systems of linear differential equations are used as frequent motivation for the reader. Another motivating aspect of the book is the excellent and engaging exercises that abound in this text. This textbook is written for an upper-division undergraduate course on Linear Algebra. The prerequisites for this book are a familiarity with basic matrix algebra and elementary calculus, although any student who is willing to think abstractly should not have too much difficulty in understanding this text.
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