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3,000 Solved Problems in Linear Algebra

3,000 Solved Problems in Linear Algebra
By Seymour Lipschutz

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Product Description

Solved Problem Series

These books help readers review and master what they've learned by showing them how to solve thousands of relevant problems. Perfect for preparing for graduate or professional exams, these detailed reminders of problem-solving techniques show readers the best strategies for answering even the toughest questions, including the types that appear on typical tests.


Product Details

  • Amazon Sales Rank: #132606 in Books
  • Published on: 1989-01-01
  • Original language: English
  • Number of items: 1
  • Binding: Paperback
  • 750 pages

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Editorial Reviews

From the Back Cover
Master linear algebra with Schaum's--the high-performance solved-problem guide. It will help you cut study time, hone problem-solving skills, and achieve your personal best on exams! Students love Schaum's Solved Problem Guides because they produce results. Each year, thousands of students improve their test scores and final grades with these indispensable guides. Get the edge on your classmates. Use Schaum's! If you don't have a lot of time but want to excel in class, use this book to: Brush up before tests; Study quickly and more effectively; Learn the best strategies for solving tough problems in step-by-step detail; Get the big picture without spending hours pouring over long textbooks. Review what you've learned in class by solving thousands of relevant problems that test your skill. Compatible with any classroom text, Schaum's Solved Problem Guides let you practice at your own pace and remind you of all the important problem-solving techniques you need to remember--fast! And Schaum's are so complete, they're perfect for preparing for graduate or professional exams. Inside you will find: 3000 solved problems with complete solutions--the largest selection of solved problems yet published on linear algebra; A superb index to help you quickly locate the types of problems you want to solve; Problems like those you'll find on your exams; Techniques for choosing the correct approach to problems; Guidance on choosing the quickest, most efficient solution. If you want top grades and thorough understanding of linear algebra, this powerful study tool is the best tutor you can have! Chapters include: Vectors in R" and C". Matrix Algebra. Systems of Linear Equations. Square Matrices. Determinants. Algebraic Structures. Vector Spaces and Subspaces. Linear Dependence, Basis, Dimension. Mappings. Linear Mappings. Spaces of Linear Mappings. Matrices and Linear Mappings. Change of Basis, Similarity. Inner Product Spaces, Orthogonality. Polynomials over a Field. Eigenvalues and Eigenvectors, Diagonalization. Canonical Forms. Linear Functionals and the Dual Space. Bilinear, Quadratic, and Hermitian Forms. Linear Operators on Inner Product Spaces. Applications to Geometry and Calculus.

About the Author
McGraw-Hill authors represent the leading experts in their fields and are dedicated to improving the lives, careers, and interests of readers worldwide


Customer Reviews

Very good book, worth the price4
I got an A in my Linear Algebra class. Part of it may be due to the countless hours upon hours that I studied every week. However, the tools at my disposal helped make the quality of the time worthy. This book is another valueable tool to keep in your toolchest and I'd recommend this as an accompanyment to your class. They do a great job with Vector spaces and Determinants as well as Gaussian elimination. I particularly liked some of the "trick" questions that they stuck in from chapter to chapter (great study aid as many teachers like to stick these types of trick questions). My only complaint is that they prefer to calculate the basis of a row space by non-transposition (whereas our teacher (in our course) used the transposition technique) so I could not really go by that section (thus the **** rather than ***** review) but I can't really fault the author as teachers have their preferences as to how they want their students to calculate certain answers.

I recommend this book. Heck, it's only $24 (you can get a used copy for half the price) and I suspect you'll spend "more" time with this book than you will your actual $100+ textbook (I know that I did).

I'd also like to recommend that you hunt down a used copy (or go to your library and see if they have it) of "Elementary Linear Algebra" by Howard Anton. We had to use the Grossman book (along with its confusing examples and below-average way of showing proofs). After getting frustrated with the Grossman book (and only using it to do the homework problems (but not using the book to actually understand the concepts as the book was way-below-par in doing so) as our teacher assigned us numerous problems), I stuck mainly with the Anton book (any edition after (or including) the 4th edition will do) and this book to get me thru the course with an A.

Get this book though. Even if it helps you understand just one topic more clearly then your textbook (and I'm sure it will help you with dozens), it will have paid for itself. You can never practice enough (as Linear algebra will take alot of your time) and this book will come in handy with their explanation and sample problems (that so many textbooks neglect to show). One word of caution though is that the author prefers to solve some of the problems in ways that your teacher may not. Never-the-less, a good book.

Outstanding book5
This book contains 3000 Solved Problems (duh) for those who learn best by example. If you need to catch up on your linear algebra knowledge, or currently taking a class, this book will take the abstract concepts and lay them out in example. Some of the problems do ask for proofs (1 out of 15 or so) of certain theories. But don't let that scare you, if you don't like proofs. Practicing answering these proofs with the answer right in front of you, will not only help you construct proofs in the future, but also will also help you organize the thought processes and give you a better concept and intuition of the material.
The range of material covered is more than you will find in the lower undergraduate class. If you take the time to work through this book, you will be a master of the topic with a much wider foundation and with many different approaches to same problem. If you are a veteran of Linear Algebra, this will refresh your memory and may add new elements to the subject that you weren't presented initially, such as manipulations of a matrix in C not just R. It will also help you catch up on the little "details" which you might have absorbed for the duration that you thought you would be tested on it, but after such time the information vanished into the void of forgotten math.

Good book but without index.4
This book is a good complement for any course of Linear Algebra.
Is very clear and complete. Unfortunately it does not have a detailed index at the end of the book, in spite of being announced in the front cover. Only a Table of Contents is available. Other Schaum's Solved Problems books have a really great index that help students locate the type of problem they need to solve.

Jorge O. Henao