A Second Course in Linear Algebra

'A Second Course in Linear Algebra by Garcia and Horn is a brilliant piece of work in linear algebra and matrix theory; it is a fascinating text for advanced undergraduate students and graduate students in science, technology, engineering and mathematics (STEM). Covering not only standard material but also many interesting topics, it presents the most fundamental and beautiful ideas in the field with cutting edge applications (such as the singular value decomposition with the Mona Lisa image). The book will become a standard text that is interesting and enjoyable for students as well as researchers.' Fuzhen Zhang, Nova Southeastern University, Florida 'A Second Course in Linear Algebra by Garcia and Horn is an excellent addition to the texts available to instructors of advanced linear algebra courses. The authors have made all the right choices to create a very modern and useful text, for example, the emphasis on block matrices, matrix factorizations, and unitary matrices. The wide-ranging and varied collection of topics provides options to instructors, in addition to covering all the necessities. The book is readable and students will find the lists of important concepts at the end of each chapter useful.' Leslie Hogben, Iowa State University 'Garcia and Horn provide a tasteful mix of linear algebra and matrix theory that covers a wide range of 'must know' material. The book occupies the sparsely populated area between introductory linear algebra texts and research level books such as Horn and Johnson's Matrix Analysis. With its stylish presentation, rich set of exercises, and thorough index, there is no better book from which to learn this body of material.' Nicholas J. Higham, University of Manchester 'This exciting, modern text tells a story that speaks to students of core and applied mathematics as well as many domain sciences. The authors excel at welcoming readers to the subject, with captivating, crystal-clear exposition on every page. The overall composition is uncommonly thoughtful, featuring attractive visuals, energetic and to the point prose, and foundations that pay attention to applications from a traditional, continuous origin as well as the discrete origin of contemporary data analysis. This is a wonderful textbook, and a serious work of reference for experienced researchers.' Ilse Ipsen, North Carolina State University '... if you are shopping around for a text for a second course in linear algebra, and your idea of a syllabus aligns with those of the authors (matrix oriented, avoidance of reliance on abstract algebra, not much in the way of applications) then this text should definitely be on your definite short list. Even if you're not teaching such a course, this book is worth a look as a general reference for matrix theory. It's a very valuable addition to the literature, and is highly recommended.' Mark Hunacek, MAA Reviews 'This is an impressive book for a second course in linear algebra, and there is much to learn from the excellent exposition. It is also a good reference text on matrix theory; incidentally, the second author is also co-author of the well-received monographs on matrix analysis.' Peter Shiu, The Mathematical Gazette 'A Second Course in Linear Algebra by Garcia and Horn is a brilliant piece of work in linear algebra and matrix theory; it is a fascinating text for advanced undergraduate students and graduate students in science, technology, engineering and mathematics (STEM). Covering not only standard material but also many interesting topics, it presents the most fundamental and beautiful ideas in the field with cutting edge applications (such as the singular value decomposition with the Mona Lisa image). The book will become a standard text that is interesting and enjoyable for students as well as researchers.' Fuzhen Zhang, Nova Southeastern University, Florida 'A Second Course in Linear Algebra by Garcia and Horn is an excellent addition to the texts available to instructors of advanced linear algebra courses. The authors have made all the right choices to create a very modern and useful text, for example, the emphasis on block matrices, matrix factorizations, and unitary matrices. The wide-ranging and varied collection of topics provides options to instructors, in addition to covering all the necessities. The book is readable and students will find the lists of important concepts at the end of each chapter useful.' Leslie Hogben, Iowa State University 'Garcia and Horn provide a tasteful mix of linear algebra and matrix theory that covers a wide range of `must know' material. The book occupies the sparsely populated area between introductory linear algebra texts and research level books such as Horn and Johnson's Matrix Analysis. With its stylish presentation, rich set of exercises, and thorough index, there is no better book from which to learn this body of material.' Nicholas J. Higham, University of Manchester 'This exciting, modern text tells a story that speaks to students of core and applied mathematics as well as many domain sciences. The authors excel at welcoming readers to the subject, with captivating, crystal-clear exposition on every page. The overall composition is uncommonly thoughtful, featuring attractive visuals, energetic and to the point prose, and foundations that pay attention to applications from a traditional, continuous origin as well as the discrete origin of contemporary data analysis. This is a wonderful textbook, and a serious work of reference for experienced researchers.' Ilse Ipsen, North Carolina State University '... if you are shopping around for a text for a second course in linear algebra, and your idea of a syllabus aligns with those of the authors (matrix oriented, avoidance of reliance on abstract algebra, not much in the way of applications) then this text should definitely be on your definite short list. Even if you're not teaching such a course, this book is worth a look as a general reference for matrix theory. It's a very valuable addition to the literature, and is highly recommended.' Mark Hunacek, MAA Reviews 'This is an impressive book for a second course in linear algebra, and there is much to learn from the excellent exposition. It is also a good reference text on matrix theory; incidentally, the second author is also co-author of the well-received monographs on matrix analysis.' Peter Shiu, The Mathematical Gazette