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Cover: 9789814723770 | Linear Algebra as an Introduction to Abstract Mathematics | Buch
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LINEAR ALGEBRA AS AN INTRODUCTION TO ABSTRACT MATHEMATICS
Taschenbuch von Anne Schilling & Isa Bruno Nachtergaele
Sprache: Englisch

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Beschreibung
This 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 would have taken calculus, though the only prerequisite is suitable mathematical grounding. The purpose of this book is to bridge the gap between the more conceptual and computational oriented undergraduate classes to the more abstract oriented 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.
This 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 would have taken calculus, though the only prerequisite is suitable mathematical grounding. The purpose of this book is to bridge the gap between the more conceptual and computational oriented undergraduate classes to the more abstract oriented 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.
Inhaltsverzeichnis
What is Linear Algebra; Introduction to Complex Numbers; The Fundamental Theorem of Algebra and Factoring Polynomials; Vector Spaces; Span and Bases; Linear Maps; Eigenvalues and Eigenvectors; Permutations and the Determinant; Inner Product Spaces; Change of Bases; The Spectral Theorem for Normal Linear Maps; Appendices: Supplementary Notes on Matrices and Linear Systems; The Language of Sets and Functions; Summary of Algebraic Structures Encountered; Common Math Symbols; Notation Used;
Details
Erscheinungsjahr: 2015
Fachbereich: Arithmetik & Algebra
Genre: Importe, Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
ISBN-13: 9789814723770
ISBN-10: 9814723770
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Bruno Nachtergaele, Anne Schilling & Isa
Hersteller: World Scientific
Maße: 229 x 152 x 12 mm
Von/Mit: Anne Schilling & Isa Bruno Nachtergaele
Erscheinungsdatum: 30.11.2015
Gewicht: 0,312 kg
Artikel-ID: 104161613
Inhaltsverzeichnis
What is Linear Algebra; Introduction to Complex Numbers; The Fundamental Theorem of Algebra and Factoring Polynomials; Vector Spaces; Span and Bases; Linear Maps; Eigenvalues and Eigenvectors; Permutations and the Determinant; Inner Product Spaces; Change of Bases; The Spectral Theorem for Normal Linear Maps; Appendices: Supplementary Notes on Matrices and Linear Systems; The Language of Sets and Functions; Summary of Algebraic Structures Encountered; Common Math Symbols; Notation Used;
Details
Erscheinungsjahr: 2015
Fachbereich: Arithmetik & Algebra
Genre: Importe, Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
ISBN-13: 9789814723770
ISBN-10: 9814723770
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Bruno Nachtergaele, Anne Schilling & Isa
Hersteller: World Scientific
Maße: 229 x 152 x 12 mm
Von/Mit: Anne Schilling & Isa Bruno Nachtergaele
Erscheinungsdatum: 30.11.2015
Gewicht: 0,312 kg
Artikel-ID: 104161613
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