By Peter Petersen
This textbook on linear algebra comprises the foremost subject matters of the topic that the majority complicated undergraduates have to research sooner than coming into graduate college. the entire traditional subject matters, akin to complicated vector areas, advanced internal items, the Spectral theorem for regular operators, twin areas, the minimum polynomial, the Jordan canonical shape, and the rational canonical shape, are coated, in addition to a bankruptcy on determinants on the finish of the e-book. additionally, there's fabric during the textual content on linear differential equations and the way it integrates with the entire vital ideas in linear algebra.
This booklet has numerous distinguishing positive factors that set it except different linear algebra texts. for instance: Gaussian removing is used because the key software in getting at eigenvalues; it takes an basically determinant-free method of linear algebra; and platforms of linear differential equations are used as common motivation for the reader. one other motivating element of the e-book is the wonderful and fascinating workouts that abound during this textual content.
This textbook is written for an upper-division undergraduate path on Linear Algebra. the necessities for this publication are a familiarity with uncomplicated matrix algebra and trouble-free calculus, even supposing any pupil who's prepared to imagine abstractly shouldn't have an excessive amount of hassle in figuring out this text.