Get the revised edition of GACS; the first edition acquired an embarrassingly lengthy list of errata. Geared for undergraduates majoring in fields other than mathematics, engineering or science, it can also be very useful to students who are enrolled in an algebra course and who seek extra help. (My personal pick for reference) This is a formidable volume, a compendium of linear algebra theory, classical and modern, intended for "the graduate or advanced undergraduate student." The book provides more variety and more challenging problems than are found in most algebra textbooks. You the real boss. The author calls it sophomore level, and I would agree. math.stackexchange.com/questions/160056/…, http://link.springer.com/book/10.1007%2F978-94-007-2636-9, http://www.amazon.com/Matrices-Linear-Transformations-Edition-Mathematics/dp/0486663280, http://www.amazon.com/Linear-Algebra-Edition-Stephen-Friedberg/dp/0130084514, Opt-in alpha test for a new Stacks editor, Visual design changes to the review queues. It’s really hard to know where you’re going if you’ve never studied linear algebra before, so it’s extremely helpful to have already had a course in matrices and linear algebra in RnRn. Plus, he has several chapters showing real-life applications. The book ends with a few applications to analysis (Halmos’s true interest in the subject) and a brief summary of what is needed to extend this theory to Hilbert spaces. No bullshit guide to linear algebra by Ivan Savov. The author has also included a chapter on groups of matrices which is unique in a book at this level. I have severe reservations about GACS's discussion of the calculus associated with geometric algebra, however; their discussion is not up to the level displayed when discussing the geometric algebra, and I think that many of the calculus formulas displayed are incorrect. This website is supposed to help you study Linear Algebras. The breadth of applications is especially impressive: although most of them use extremely simplified models of the thing being studied, they really do give you a good understanding of how linear algebra is used in practice. A companion to analysis by korner, ams ( this is termed as a graduate level book but I believe that this is accessible to undergraduates and they will gain a lot from this wonderful book) Linear algebra Linear algebra done right by AXLER. It is ideal as a text for a one semester course designed to provide a rst exposure of the subject to students in mathematics, science, or engineering. Basically - I am studying linear algebra at honours level at the moment. Problems which provide results used later in the textbook are (usually) marked. It provides proofs, worked examples, diagrams, and plenty of exercises with brief solutions at the end of the book. Every single problem is included in the answer key. Download for offline reading, highlight, bookmark or take notes while you read Basic Abstract Algebra: For Graduate Students and Advanced Undergraduates. First, the title is the truth. In fact, for most undergraduate stuff you won't need anything else. If desired, a website is provided for obtaining detailed solutions. Finite-Dimensional Vector Spaces 2nd Edition by Paul Halmos. This is an indisputable five star book. I want to lament in this connection that over recent decades a shift has occurred regarding linear algebra: things once covered in lower division work are now part of the standard graduate course, and accordingly erstwhile solidly undergraduate linear algebra, e.g., the full discussion of the eigenvalue problem leading to the Jordan canonical form, have fallen off the undergraduate table. It only takes a minute to sign up. The list of the best math books The Princeton Companion to Mathematics: By June Barrow-Green, Timothy Gowers, and Imre Leader. First, it's extremely easy and short. Algebra Essentials Practice Workbook with…. The present book is complete in itself, but many students will appreciate the additional resources. I do not believe students are significantly less capable today than they were several deca… What is the significance of theoretical linear algebra in machine learning/computer vision research? Discover the best Abstract Algebra in Best Sellers. Algebra Part 1 (Quickstudy Reference Guides…. Also, the book is small and very cheap, it deserves a place on every math shelf. Fundamentals of Linear Algebra. After a concise (30-page) treatment of set theory and basic algebraic structures, the author embarks on a two-chapter whirlwind tour of introductory linear algebra, including an optional discussion of topological vector spaces. This book is also good for self-study as there is a solution munual for it. Among all the books cited in Wikipedia - Linear Algebra, I would recommend: Strang, Gilbert, Linear Algebra and Its Applications (4th ed.) There is a great deal of free supplemental material available on the MIT web site for the course, including videos of Strang’s lectures in the course, interactive computer demonstrations, and past exams and problem sets. Algebra courses calculus in a dungeon up with references or personal experience through,. 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