Matrix Mathematics: A Second Course in Linear Algebra

This linear algebra course covers advanced topics and applications,with a focus on matrix theory and its applications. It includes 900+ exercises,350 examples,and instructor's resources. Prerequisites include a first course in linear algebra and basic calculus sequence.

Format: Hardback
Length: 500 pages
Publication date: 25 May 2023
Publisher: Cambridge University Press

This comprehensive second course in linear algebra, designed for upper-level undergraduates in mathematics, data science, and the physical sciences, employs a modern matrix-based approach to facilitate a seamless transition from basic theory to advanced topics and applications. With its clear and concise exposition, accompanied by numerous illustrations, over 900 exercises, and 350 conceptual and numerical examples, the text effectively aids students in grasping the subject matter. The book is organized into concise chapters that promote a focused progression through essential ideas. Each chapter delves into topics in depth, covering key concepts such as the singular value decomposition, Jordan canonical form, spectral theorem, QR factorization, normal matrices, Hermitian matrices, and positive definite matrices. To enhance understanding, each chapter concludes with a bullet list summarizing important concepts.

In this edition, several notable additions have been made. Chapters on matrix norms and positive matrices have been introduced, providing valuable insights into matrix analysis and its applications. Numerous new sections have been added on topics such as interpolation and LU factorization, offering practical techniques for solving linear equations and systems. The problem bank has been expanded by 300+ problems, providing students with ample opportunities to practice and reinforce their understanding. Furthermore, the book features numerous new examples and color-enhanced figures, enhancing the visual appeal and clarity of the content.

To enroll in this course, students are expected to have a solid foundation in linear algebra and basic calculus sequences. Instructor's resources, including lecture notes, solutions, and additional materials, are available to support the learning process. Whether you are a mathematics, data science, or physical sciences student seeking to expand your knowledge in linear algebra, this course offers a rigorous and comprehensive framework to help you achieve your academic goals.

Weight: 1124g
Dimension: 185 x 260 x 32 (mm)
ISBN-13: 9781108837101
Edition number: 2 Revised edition