Functional Linear Algebra

Linear algebra is a versatile and useful subject that rewards students with powerful computational tools, lessons about how mathematical theory is built, examples for later study in other classes, and much more. Functional Linear Algebra is a one-term linear algebra course for students who have taken only calculus, focusing on the idea of a linear function and row reduction. It also offers applications from engineering and the sciences to motivate students.

\n Format: Hardback
\n Length: 393 pages
\n Publication date: 30 March 2021
\n Publisher: Taylor & Francis Ltd
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Linear algebra is a truly versatile and valuable subject that offers a wide range of benefits to those who engage with it. It provides students with powerful computational tools, invaluable insights into the construction of mathematical theories, practical examples for future studies in various classes, and much more.

Functional Linear Algebra is a unique textbook designed specifically to meet the needs of students who have completed calculus but have not had a course in proofs. The text takes a fresh approach to linear algebra, emphasizing the concept of a linear function as a driving force behind the study of matrices and their operations. This approach aligns with the central role of functions in calculus, making the material more intuitive and accessible to students.

One of the key innovations of Functional Linear Algebra is the strategic placement of row reduction and vector spaces in the semester. By delaying the introduction of row reduction until later in the course, the text avoids creating an artificial separation between the computational and theoretical aspects of linear algebra. This allows students to build a strong foundation in computational techniques while simultaneously gaining a deeper understanding of the theoretical foundations.

Chapter 0 of the text offers practical applications from engineering and the sciences to motivate students by showcasing how linear algebra is applied in real-world scenarios. This approach helps students see the relevance and practical applications of the subject, enhancing their interest and engagement.

Vector spaces are developed primarily over the real number system, with a brief discussion of complex vector spaces in Appendix A.1. Computational techniques are covered both manually and using technology, with a brief introduction to Mathematica provided in Appendix A.2.

As readers progress through this book, it is essential to grasp the fundamental concepts, definitions, and computational skills. The text provides ample examples and problems to facilitate practice and ensure a thorough understanding of the material.

Author Dr. Hannah Robbins is an associate professor of mathematics at Roanoke College in Salem, VA. With a background in commutative algebra, she now focuses on the applications of linear algebra and assesses teaching.

\n Weight: 738g\n
Dimension: 242 x 160 x 32 (mm)\n
ISBN-13: 9780367486877\n \n