Advanced Linear Algebra with Applications

This book covers linear algebra for graduate and undergraduate courses, focusing on algebraic structures, matrices, systems of linear equations, vector spaces, linear transformations, and interdisciplinary applications. It includes examples and exercises to enhance conceptual understanding.

Format: Paperback / softback
Length: 495 pages
Publication date: 29 April 2023
Publisher: Springer Verlag, Singapore

This comprehensive textbook offers a thorough exploration of linear algebra, catering to both graduate and undergraduate courses. Serving as a self-contained text, its primary objective is to encompass all significant aspects of the subject, including algebraic structures, matrices, and systems of linear equations, vector spaces, linear transformations, dual and inner product spaces, canonical forms, bilinear forms, quadratic forms, sesquilinear forms, Hermitian forms of operators, and tensor products of vector spaces with their associated algebras. The final three chapters specifically focus on equipping readers with the skills to apply linear algebra in interdisciplinary domains such as numerical methods, analytical geometry, and the solution of linear systems of differential equations. Each section concludes with a rich array of examples and exercises designed to strengthen readers' conceptual grasp. It is assumed that readers possess a foundational understanding of various concepts, including sets, relations, mappings, and more.

Weight: 777g
Dimension: 235 x 155 (mm)
ISBN-13: 9789811621697
Edition number: 1st ed. 2022