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Schaum's Outline
Schaum's Outline of Linear Algebra 4th (fourth) edition Text Only
* This third edition of the successful outline in linear algebra—which sold more than 400,000 copies in its past two editions—has been thoroughly updated to increase its applicability to the fields in which linear algebra is now computer science,engineering,mathematics,physics,and quantitative analysis* Revised coverage includes new problems relevant to computer science and a revised chapter on linear equations* More than 100,000 students enroll in beginning and advanced Linear Algebra courses each year. This outline is appropriate for both first- and second-level linear algebra courses Master linear algebra with Schaum's—the high-performance study guide. It will help you cut study time,hone problem-solving skills,and achieve your personal best on exams and projects!Students love Schaum's Outlines because they produce results. Each year,hundreds of thousands of students improve their test scores and final grades with these indispensable study 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,this book helps * Use detailed examples to solve problems* Brush up before tests* Find answers fast* Study quickly and more effectively* Get the big picture without poring over lengthy textbooks Schaum's Outlines give you the information your teachers expect you to know in a handy and succinct format—without overwhelming you with unnecessary jargon. You get a complete overview of the subject. Plus,you get plenty of practice exercises to test your skill. Compatible with any classroom text,Schaum's let you study at your own pace and remind you of all theimportant facts you need to remember—fast! And Schaum's are so complete,they're perfect for preparing for graduate or professional exams.Inside,you will * A bridge between computational calculus and formal mathematics* Clear explanations of eigenvalues,eigenvectors,linear transformations,linear equations,vectors,and matrices* Solved problems that relate to the field you are studying* Easy-to-understand information,perfect for pre-test review If you want top grades and a thorough understanding of linear algebra,this powerful study tool is the best tutor you can have!Chapters Vectors in Rn and Cn * Matrix Algebra * Linear Equations * Vector Spaces * Linear Mappings * Linear Mapings and Matrices * Inner Product Spaces,Orthogonality * Determinants * Eigenvalues and Eigenvectors * Canonical Forms * Linear Functionals and the Dual Space * Bilinear,Quadratic,and Hermitian Forms * Linear Operators on Inner Product Spaces * Polynomials
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First published January 1, 1968
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Displaying 1 - 14 of 14 reviews
April 29, 2013
Goes well beyond an "outline" of elementary linear algebra, especially when compared to the course textbook I was assigned (Elementary Linear Algebra with Applications). Schaum's Outline provided all the same relevant theorems and proofs in rigorous mathematical language while taking time to define common mathematical notation for non-initiates. There are plenty of exercises at various stages of difficulty and application with thorough explanations for most solutions and step-by-step guides for some of the initial problems. There were very few typos or errors that I noticed and the narrative progression of concepts is well-chosen and explained.
This "outline" is pretty much all you need to get through an elementary linear algebra course.
This "outline" is pretty much all you need to get through an elementary linear algebra course.
January 20, 2025
An older edition of this book was my lifesaver as a young student. Since I'm now teaching part of the material, I decided to get the current version - and it's still just as good and as clear as it was 30+ years ago. It takes you from very basic and simple concepts through all kinds of -morphisms to the dual space, all with a lot of exercises, clear definitions, and very good explanations.
It's also cheap for a modern textbook for over 400 letter-sized (nearly A4 for the rest of the world) pages - the recommended price is 26US$, I got it for EUR 16.99. The paper quality isn't the best, but it's functional, and the binding is reasonably robust. If you're struggling in university, or if you plan to study any STEM subject, this is highly recommended.
It's also cheap for a modern textbook for over 400 letter-sized (nearly A4 for the rest of the world) pages - the recommended price is 26US$, I got it for EUR 16.99. The paper quality isn't the best, but it's functional, and the binding is reasonably robust. If you're struggling in university, or if you plan to study any STEM subject, this is highly recommended.
April 27, 2024
I wonder if the people who write these math textbooks ever stay up at night thinking about just how many engineering students they torture monthly. Anyway wish me luck on my final 🥲
July 28, 2017
The outstanding feature of this book is its awful proofreading and editing.
The book is intended for beginning math students – to show them all the steps in doing calculations and simple proofs, but many of the “solved” problems contain errors. There are typos, mistakes in simple arithmetic, and just plain errors in copying a list of numbers in the middle of calculations. I can imagine some poor frustrated undergraduate trying over and over to get the same answer as the book, and not understanding why he or she doesn’t get the “right” answer.
It is a shame, because the format and design of the lessons are good. Someone should have gone through the book and checked the calculations. It is amazing that such a sloppy product was published. (And I have the FIFTH edition!)
The book also has the goofy feature that some quite intricate historically important proofs are suggested as problems, along with problems that only require simple arithmetic. But this doesn’t hurt anyone.
The book is intended for beginning math students – to show them all the steps in doing calculations and simple proofs, but many of the “solved” problems contain errors. There are typos, mistakes in simple arithmetic, and just plain errors in copying a list of numbers in the middle of calculations. I can imagine some poor frustrated undergraduate trying over and over to get the same answer as the book, and not understanding why he or she doesn’t get the “right” answer.
It is a shame, because the format and design of the lessons are good. Someone should have gone through the book and checked the calculations. It is amazing that such a sloppy product was published. (And I have the FIFTH edition!)
The book also has the goofy feature that some quite intricate historically important proofs are suggested as problems, along with problems that only require simple arithmetic. But this doesn’t hurt anyone.
July 28, 2017
The outstanding feature of this book is its awful proofreading and editing.
The book is intended for beginning math students – to show them all the steps in doing calculations and simple proofs, but many of the “solved” problems contain errors. There are typos, mistakes in simple arithmetic, and just plain errors in copying a list of numbers in the middle of calculations. I can imagine some poor frustrated undergraduate trying over and over to get the same answer as the book, and not understanding why he or she doesn’t get the “right” answer.
It is a shame, because the format and design of the lessons are good. Someone should have gone through the book and checked the calculations. It is amazing that such a sloppy product was published. (And I have the FIFTH edition!)
The book also has the goofy feature that some quite intricate historically important proofs are suggested as problems, presumably for the exceptional freshman. But this doesn’t hurt anyone.
The book is intended for beginning math students – to show them all the steps in doing calculations and simple proofs, but many of the “solved” problems contain errors. There are typos, mistakes in simple arithmetic, and just plain errors in copying a list of numbers in the middle of calculations. I can imagine some poor frustrated undergraduate trying over and over to get the same answer as the book, and not understanding why he or she doesn’t get the “right” answer.
It is a shame, because the format and design of the lessons are good. Someone should have gone through the book and checked the calculations. It is amazing that such a sloppy product was published. (And I have the FIFTH edition!)
The book also has the goofy feature that some quite intricate historically important proofs are suggested as problems, presumably for the exceptional freshman. But this doesn’t hurt anyone.
August 12, 2018
I used this book for a proof based course on Linear and Abstract Algebra. I wouldn't recommend this book for anyone seeing Linear Algebra for the first time, as the book doesn't emphasise the geometric intuitions behind the subject. However, it works well for students who have already seen Linear Algebra from a more intuitive standpoint and want to understand the subject more rigorously. The style is very problem focused, and you learn the material in the book from doing the problems, which increase in difficulty. Solving all the problems in sequence and reading all of the proofs enabled me to pick up the underlying themes behind many of the difficult problems, and this gave me a lot of confidence heading into the exams. This may not be an easy read (the material is dense), but it is well worth reading.
February 17, 2017
Good book.
I learned a lot with this book and I recommend to everyone.
I learned a lot with this book and I recommend to everyone.
October 9, 2023
This is Schaum's outline at its best. It contains concise explanations of concepts and full proofs and worked examples and plenty of exercises for the reader. My sixth edition contains hardly any errors, which is not the case for every Schaum's book.
My only quibble is that it gives too little motivation for the introduction of new theory and proofs. Especially chapter 10 needs some and should be expanded as it was difficult going for me.
My only quibble is that it gives too little motivation for the introduction of new theory and proofs. Especially chapter 10 needs some and should be expanded as it was difficult going for me.
April 14, 2018
Well laid out. Covered most of the material for my first year linear algebra course (Humboldt Universität zu Berlin)
Major problems with some of the answers in the book, many had mistakes in them... highly recommend double checking the answer with something like Wolfram Alpha...
Major problems with some of the answers in the book, many had mistakes in them... highly recommend double checking the answer with something like Wolfram Alpha...
June 19, 2022
this is a great way to practice linear algebra and overall it's a nice read!
January 15, 2016
Exactly what it promises to be, and not an iota more.
October 13, 2012
Covers the content well enough, but has quite a few mistakes in the content and the exercises
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July 4, 2015Inexhaustible works in Algebra here, a good read too on Linear systems.
Read
April 5, 2017Of course I didn't read it entirely : I just glanced through reading chapters on vector spaces. I found this book very useful. Maybe the best things are 1) the methods given and 2) the massive number of corrected exercices.
Displaying 1 - 14 of 14 reviews