Elementary Linear Algebra with Applications

This text offers a unique balance of theory and a variety of standard and new applications along with solved technology-aided problems.

The book includes the fundamental mathematical theory, as well as a wide range of applications, numerical methods, projects, and technology-assisted problems and solutions in Maple, Mathematica, and MATLAB. Some of the applications are new, some are unique, and some are discussed in an essay. There is a variety of exercises which include True/False questions, questions that require proofs, and questions that require computations.

The goal is to provide the student with is a solid foundation of the mathematical theory and an appreciation of some of the important real-life applications. Emphasis is given on geometry, matrix transformations, orthogonality, and least-squares.

Designed for maximum flexibility, it is written for a one-semester/two semester course at the sophomore or junior level for students of mathematics or science.

• Provides a unique balance of theory and applications.
• Includes novel mini projects.

• Presents Maple, Mathematica, and MATLAB.

George Nakos is a professor emeritus of mathematics at the U.S. Naval Academy and an instructor for the engineering programs in the Whiting School of Engineering of Johns Hopkins University.

George was educated in mathematics in Athens (B.Sc. U. of Athens), in London (M.Sc. King’s College, U. of London), and in Baltimore (Ph.D. Johns Hopkins U.).

George has taught and designed a variety of courses for USNA and Hopkins. His interests are in algebra, topology, cryptography, and programming. He has received several awards and has authored texts.

Teaching awards

• 2019 Johns Hopkins, Outstanding Engineering for Professionals Instructor Award
• 2015 Johns Hopkins, Exceptional Online Course Design Award
• 2014 Blackboard Catalyst Award for Exemplary Course for online courses (worldwide)
• 2011 Johns Hopkins, Engineering for Professionals Excellence in Teaching Award
• 2005 John Smith Award for Distinguished College or University Teaching given annually by the Maryland-Washington DC-Virginia Section of the Mathematical Association of America
• 2003 U.S. Naval Academy Teaching Excellence Award given annually to one faculty member

Texts

• "Elementary Linear Algebra with Applications. MATLAB®, Mathematica® and Maplesoft™", De Gruyter, 2024.
• with D. Joyner, "Linear Algebra with Applications", Brooks/Cole, 1998
• "Complete Solutions Manual for Nakos and Joyner's Linear Algebra with Applications", 1998
• "Student's Solutions Manual for Linear Algebra with Applications", Brooks/Cole 1998