by Jude Thaddeus Socrates
“A Portrait of Linear Algebra Third Edition” is a complete book on Linear Algebra. The Mathematician behind this book is Jude Thaddeus Socrates. His book “A Portrait of Linear Algebra” takes a unique approach in developing and introducing the core concepts of this subject. It begins with a thorough introduction to the field properties for real numbers and uses them to guide the student through simple proof exercises. Over 500 new exercises have been added since the 2nd edition.
There are 9 chapters in the book. Core concepts of linear combinations, spans of sets of vectors, linear independence, subspaces, basis, and dimension, are introduced in the first chapter. In next chapters, the author explores some applications of Linear Algebra in science and engineering. These applications enable readers to prove The Fundamental Theorem of Linear Algebra, an elegant theorem that ties together the four fundamental matrix spaces and the concepts of eigenspaces and orthogonality. Overall, it is a great resource for learning the core concepts of Linear Algebra. You can also Download Calculus and Analytic Geometry (9th Edition) by George B. Thomas, Ross L. Finney Free.