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Introduction to Linear and Matrix Algebra

Name: Introduction to Linear and Matrix Algebra
Brand: Springer Nature Switzerland AG
SKU: 39202941
Price: 59.89 EUR
Availability: InStock
Author: Nathaniel Johnston
ISBN: 9783030528133

Nathaniel Johnston

Lingua

Inglese

Libro In brossura

Codice Libristo: 39202941

Casa editrice Springer Nature Switzerland AG, maggio 2022

This textbook emphasizes the interplay between algebra and geometry to motivate the study of linear... Descrizione completa

Codice Libristo: 39202941

147 b

59.89 €

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This textbook emphasizes the interplay between algebra and geometry to motivate the study of linear algebra. Matrices and linear transformations are presented as two sides of the same coin, with their connection motivating inquiry throughout the book. By focusing on this interface, the author offers a conceptual appreciation of the mathematics that is at the heart of further theory and applications. Those continuing to a second course in linear algebra will appreciate the companion volume Advanced Linear and Matrix Algebra. Starting with an introduction to vectors, matrices, and linear transformations, the book focuses on building a geometric intuition of what these tools represent. Linear systems offer a powerful application of the ideas seen so far, and lead onto the introduction of subspaces, linear independence, bases, and rank. Investigation then focuses on the algebraic properties of matrices that illuminate the geometry of the linear transformations that they represent. Determinants, eigenvalues, and eigenvectors all benefit from this geometric viewpoint. Throughout, "Extra Topic" sections augment the core content with a wide range of ideas and applications, from linear programming, to power iteration and linear recurrence relations. Exercises of all levels accompany each section, including many designed to be tackled using computer software.