Linear Algebra Done Right
Product ID: 161932680
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This best-selling textbook for a second course in linear algebra is aimed at undergrad math majors and graduate students. The novel approach taken here banishes determinants to the end of the book. The text focuses on the central goal of linear algebra: understanding the structure of linear operators on finite-dimensional vector spaces. The author has taken unusual care to motivate concepts and to simplify proofs. A variety of interesting exercises in each chapter helps students understand and manipulate the objects of linear algebra. The third edition contains major improvements and revisions throughout the book. More than 300 new exercises have been added since the previous edition. Many new examples have been added to illustrate the key ideas of linear algebra. New topics covered in the book include product spaces, quotient spaces, and dual spaces. Beautiful new formatting creates pages with an unusually pleasant appearance in both print and electronic versions. No prerequisites are assumed other than the usual demand for suitable mathematical maturity. Thus the text starts by discussing vector spaces, linear independence, span, basis, and dimension. The book then deals with linear maps, eigenvalues, and eigenvectors. Inner-product spaces are introduced, leading to the finite-dimensional spectral theorem and its consequences. Generalized eigenvectors are then used to provide insight into the structure of a linear operator. Review: One of the best books in all of mathematics - Truth is we in India think we are taught linear algebra from our schools, but are never taught linear algebra. What we are taught is to manipulate a certain set of numbers put in a matrix form that gives us answers for unknown reasons. Linear Algebra is beautiful. Much of it comes from geometry. But who is to know that based on what we are taught? Enter Axler. He painstakingly builds up your base in various topics like set theory, fields, bases, dimensions, projections to enable you to get to a point where you re-understand a part of maths that is lost to you, because of the way it has been taught. LADR is not complete - it doesn't cover everything. But what it does cover is built. Not just in the book, but in the reader. It won't be an easy read. But when you are done with about 130 pages of this book, you will get a fresh perspective on all of LA. and LA is pervasive in all of maths. Further, LA is pervasive in much of CS, and in all of machine learning. Getting into those fields without a complete understanding of LA is like entering a flower garden without a sense of smell. Why Linear Algebra? Matrix Algebra tells you how to get the numbers that you want. Linear Algebra tells you why you get them. Bonus: I believe Linear Algebra Done Right is Springer's best seller across all the mathematics textbooks that it sells (saw this in an old excel sheet shared by springer with a publisher). Recommendation: 1. For self study: Do Gilbert Strang if you want to get through your exams. But Strang is not rigorous. If you really like mathematics, there is no better book to start your journey in Linear Algebra than Axler. 2. For college courses: Should be primary text for undergraduate LA students. Review: The Best Book ! - Every graduate student must read!. Recommended for those who are mastering theoretical linear algebra. Good selection of exercises. Also I recommend read/ go through his famous award winning paper "down with determinants".
| Best Sellers Rank | #46,748 in Books ( See Top 100 in Books ) #55 in Algebra & Trigonometry |
| Customer Reviews | 4.6 out of 5 stars 708 Reviews |
R**N
One of the best books in all of mathematics
Truth is we in India think we are taught linear algebra from our schools, but are never taught linear algebra. What we are taught is to manipulate a certain set of numbers put in a matrix form that gives us answers for unknown reasons. Linear Algebra is beautiful. Much of it comes from geometry. But who is to know that based on what we are taught? Enter Axler. He painstakingly builds up your base in various topics like set theory, fields, bases, dimensions, projections to enable you to get to a point where you re-understand a part of maths that is lost to you, because of the way it has been taught. LADR is not complete - it doesn't cover everything. But what it does cover is built. Not just in the book, but in the reader. It won't be an easy read. But when you are done with about 130 pages of this book, you will get a fresh perspective on all of LA. and LA is pervasive in all of maths. Further, LA is pervasive in much of CS, and in all of machine learning. Getting into those fields without a complete understanding of LA is like entering a flower garden without a sense of smell. Why Linear Algebra? Matrix Algebra tells you how to get the numbers that you want. Linear Algebra tells you why you get them. Bonus: I believe Linear Algebra Done Right is Springer's best seller across all the mathematics textbooks that it sells (saw this in an old excel sheet shared by springer with a publisher). Recommendation: 1. For self study: Do Gilbert Strang if you want to get through your exams. But Strang is not rigorous. If you really like mathematics, there is no better book to start your journey in Linear Algebra than Axler. 2. For college courses: Should be primary text for undergraduate LA students.
R**J
The Best Book !
Every graduate student must read!. Recommended for those who are mastering theoretical linear algebra. Good selection of exercises. Also I recommend read/ go through his famous award winning paper "down with determinants".
A**Y
My go to book for Linear algebra.
Love this book. The way it explains linear algebra in an abstract way. It just beautiful. And the page quantity of a hard cover is 💓. Recommended to anyone who wants to learn linear algebra in an abstract way.
S**A
Quality
Good quality i received
A**A
Wonderful book.
I first read first and one-third of the second chapter from the free pdf available. I really liked it, so I purchased the book. It's a book that teaches Linear Algebra in a right way. I liked the approach of the author. As the title says it's "LINEAR ALGEBRA DONE RIGHT". I rated 4 stars instead of 5, because the book doesn't look original and the spine doesn't look like it is going to last long. But the content of the book is top notch.
N**A
Hopping into Machine Learning
I bought this book as a starter for my machine learning journey along with "Introduction to Linear Algebra" by Strang. (5th edition) Delivered on time and the packaging was perfect. No damages on the book.
S**I
The book is very good
I like this book and Amazon.
A**R
ok
service is very good as I expect.Very very thanks
A**I
Livro importante e muito interessante
O livro é muito interessante, uma vez que trata de uma abordagem pouco usual do aprendizado de Álgebra Linear. Eu o utilizo em minhas atividades de pesquisa.
R**K
Good book
Good book
T**S
As stated
Perfect condition
M**N
Arrive in time. There is a fourth edition. So if you want to buy, check it.
This is a very clear and engaging book on linear algebra. The eigenvectors and eigenvalues are taught before the matrices. I really appreciate the book, and the problems helps a lot for the understanding.
A**X
Il titolo dice tutto: Algebra lineare fatta nel modo giusto!
Ho acquistato l'edizione hardcover (foto): edizione ben curata e con pochi refusi; la rilegatura è ottima e duratura (non si sciupa progressivamente durante la lettura) e le pagine sono di buona qualità; il formato del libro è molto maneggevole. Dal punto di vista dei contenuti, si è rivelato un'ottima introduzione all'algebra lineare (spazi vettoriali, mappe lineari, autovettori, autovalori e autospazi e matrici) astratta e rigorosa ma anche molto concreta: ogni argomento è corredato da utili ed illuminanti esempi e/o esercizi svolti e molti teoremi sono preceduti da un breve preambolo che ne introduce il senso e il contenuto ad un livello discorsivo ed informale, agevolando la comprensione degli aspetti più astratti. Talvolta le dimostrazioni sono lasciate al lettore ma si tratta sempre di casi in cui, se si è seguito il libro, tale dimostrazione è alla portata del lettore, essendo spesso analoga a quella di altri teoremi dimostrati nelle pagine precedenti. Inoltre ogni sezione è corredata da numerosi utili esercizi (non svolti!). Unico veniale difetto è che talvolta (ancorché molto raramente), dimostrazioni proposte in tali esercizi sono considerate poi propedeutiche a teoremi presentati in sezioni successive e questo, in qualche modo, obbliga a ritornare indietro a rivedere l'esercizio e, qualora non sia già stato fatto, a risolverlo. Decisamente brillante ed originale la trattazione della teoria degli autovalori, sviluppata senza far uso del concetto di determinante, che viene poi definito e spiegato solo nelle ultime pagine anche se la trattazione delle matrici viene comunque svolta in maniera progressiva mano a mano che i concetti astratti diventano in qualche modo applicabili. Sheldon Axler è un mito per rigore e chiarezza: oltre a questo ottimo testo di Algebra Lineare, consiglio il testo "Measure, Integration & Real Analysis" disponibile in formato digitale gratuito anche in formato Kindle su Amazon nella collana Open Access della Springer.
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