Applied Linear Algebra

This textbook provides a comprehensive treatment of linear algebra,with applications in modern applied mathematics. It emphasizes conceptual connections and mathematical maturity,equipping students for further study in differential equations,numerical analysis,data science,and statistics.

Format: Hardback
Length: 679 pages
Publication date: 14 June 2018
Publisher: Springer International Publishing AG

This comprehensive textbook is designed to provide students with a solid foundation in linear algebra, offering both technical proficiency and contextual understanding. By seamlessly integrating theory and applications, the text fosters the development of not only the necessary technical skills for further studies but also a deep appreciation for the applications of linear algebra across modern applied mathematics.

The textbook offers an extensive treatment of essential topics, including Gaussian elimination, inner products and norms, and eigenvalues and singular values. It serves as a valuable resource for an in-depth first course in linear algebra or as a second course focused on application-driven topics. In this second edition, the applications have been updated and expanded to encompass numerical methods, dynamical systems, data analysis, and signal processing, reflecting the evolving landscape of modern mathematics.

One of the key strengths of the textbook is its emphasis on conceptual connections between applications and linear algebraic techniques. It enables students to learn how to apply mathematical tools in routine contexts while also gaining a deeper understanding of the underlying principles that govern these tools. This approach not only enhances their technical skills but also equips them with the ability to adapt to unusual or emerging problems.

The text assumes no prior knowledge of linear algebra, with single-variable calculus serving as the only formal prerequisite. However, it does require a certain level of mathematical maturity to engage with the increasing abstraction inherent in the subject. By the end of the book, students will have acquired the main tools and concepts from linear algebra, preparing them for further studies in differential equations, numerical analysis, data science, and statistics, as well as a wide range of applications.

In addition to its academic value, the textbook is well-written and accessible to students with a variety of backgrounds. It includes numerous examples and exercises to reinforce the concepts, as well as detailed explanations and hints to assist in problem-solving. The inclusion of supplementary materials, such as online resources and video lectures, further enhances the learning experience.

Overall, this textbook is an excellent resource for students seeking to develop a strong foundation in linear algebra and gain a deeper understanding of its applications in modern mathematics. Its comprehensive coverage, emphasis on conceptual understanding, and practical applications make it an invaluable tool for anyone interested in pursuing careers in fields such as engineering, computer science, economics, and mathematics.

Weight: 1578g
Dimension: 189 x 258 x 39 (mm)
ISBN-13: 9783319910406
Edition number: 2nd ed. 2018