Published: Wellesley, MA : Wellesley - Cambridge Press, [2020]
Alternative ISBN: 978-1-7331466-3-0
Hi, smart guys.
I am studying a book called Introduction to Linear Algebra.
The table of contents of chapter 6. Eigenvalues and Eigenvectors are like this:
- 6.1 Introduction to Eigenvalues
- 6.2 Diagonalizing a Matrix
- 6.3 Systems of Differential Equations
- 6.4 Symmetric Matrices
- 6.5 Positive Definite Matrices
When chapter 6 is over, Chapter 7. SVD is waiting for me :(
and I've been stuck on Systems of Differential Equations for several months. (I am so frustrated)
Is it ok to skip this one? Do I have to study this in order to understand the following chapters like SVD and Linear Transformations?
Anyone willing to post their linear algebra notes from Strang's textbook/lectures that won't make high schoolers want to gauge our eyes out?
In the final part of Strang's lecture (https://www.youtube.com/watch?v=WU1m2QQrlho&t=1580s), he introduces an example of a function which is the difference between the derivative and the average rate of change.
[;E = \frac{df}{dx} - \frac{\Delta f}{\Delta x};]
He then talks about how this function is approximately [;A(\Delta x)^(n;]) and poses the question of how to find [;n;]. Strang then graph's E as a function of [;\Delta x;] and says that if we graph it using a log-log graph, then we would be able to find n = 1
My questions are:
- Where is the function E taken from? Is there some problem/definition/statement that it's used?
- How is the approximate function [;A(\Delta x)^(n);] derived? What's the significance of the exponent n?
- How was n=1 found? He explained it could be found by using a log-log graph but I assume it could be found by solving symbolically as well?
- Further on, he introduced a better difference function, a centered difference:
[;\frac{f(x + \Delta x) - f(x)}{2\Delta x};]
How is it's approximate [;A(\Delta x)^(2);] found ?
I was reviewing Linear algebra from his course but it completely changed my outlook on Linear algebra. Matrix multiplication always looked very artificial to me, this guy helped me develop an intuition about matrices. His lectures are fun he teaches based on examples and then shows the need for the abstract stuff. Loved the course and would love to attend one of his clases in real life.
Hello everyone,
I'm looking for a free online resource that gives you an intuitive understanding of statistics and probability theory. It might also give you other perspectives and show you connections.
For Linear Algebra I used 3Blue1Brown and Gilbert Strang - are there any comparable sources for statistics?
Many greetings
Hi, sry if the doesnt belong here but i didnt know where else to ask.
Anyone knows if there is anyway to get a new Hardcover of Calculus by Gilbert Strang ?
i searched all over the internet but i seems like there are only new Paperbacks beeing sold.
Thankfull for any tips
I've enrolled in MATH 320 this fall. I have no clue how to get hold of Differential Equations and Linear Algebra by Gilbert Strang, given that I'm from India (so can't find a library that has it) and plus ITS SO EXPENSIVE. So if anyone has the eBook or a link to download from (or even a website to download similar academic book) please do share. Help a fellow broke mofo xD
Hello all,
Just a brief question:
I ordered the 5th edition of Gilbert Strang’s linear algebra textbook. I began reading the first chapter, and it appears as though he assumes knowledge of vectors without defining them. Is this just me? If not, where can I learn enough about vectors to start working on this book?
Thank you!
1.1 - Vectors & Linear Combinations (Introduction to Linear Algebra (5e) - Gilbert Strang)
(Pg 16)
Suppose the vectors u, v, w are in three-dimensional space:
- What is the picture of all combinations cu?
- What is the picture of all combinations cu + dv?
- What is the picture of all combinations cu+ dv + ew?
If they are typical nonzero vectors (components chosen at random), here are the three answers :
- The combinations cu fill a line through (0, 0, 0).
- The combinations cu+ dv fill a plane through (0, 0, 0).
- The combinations cu+ dv + ew fill three-dimensional space.
This is the typical situation! Line, then plane, then space. But other possibilities exist.
**When w happens to be cu + dv, that third vector w is in the plane of the first two.
The combinations of u, v, w will not go outside that uv plane. We do not get the full
three-dimensional space. **
*Query* - I'm not getting how to mentally visualize this specific case when w = cu + dv and " The combinations of u, v, w will not go outside that uv plane. "
Hi. I understand that Gilbert Strang is said to be the best way to self teach Linear Algebra. (Though I'm open to other suggestions.)
I've found the MIT website, my only issue now is, how is the best way to approach all the material? What's the structure?
How many lectures do I watch before doing the tutorials?
Do I need to download MATLAB?
Are there MATLAB classes?
When do I do practice questions? Where are the practise questions?
Sorry for all the questions, I'm just a bit overwhelmed and lost.
Thank-you in advance for your help.
I've taken a few courses from school but never really took it seriously so it's not like I know nothing but I am still a beginner. So which book is better for people who have some grasp of calculus but want to dive deeper in the math behind it. Btw I am 16 (finished 9th grade) and I will need some calculus for a course I will be taking in physics this year.
Our favorite linear algebra professor released his new course today:
"MIT 18.065 Matrix Methods in Data Analysis, Signal Processing, and Machine Learning".
I just saw it in my youtube feed. I'm excited as I bought his new book, but did not expect a full course to come with it!
I'm currently doing the Linear Algebra course 18.06 Scholar Edition at MIT OCW. The course contains the lectures, recitation videos and selected problem sets. However, I've read on several forums that one should also work through the problems sets in Strang's book alongside the course... However, there are probably around 30-40 problem sets for each topic, so working through each of them will take a very long time (probably doubling the time I would have to be spend). I am not trying to cut corners, but would it be sufficient to do the course and only do the problem sets selected by MIT and get a decent introduction to linear algebra for machine learning? Appreciate any advice!
As mentioned in a post earlier, I plan on self teaching myself single variable calculus from MIT OCW and have narrowed it down to Gilbert Strang’s calculus book, in addition to paul’s math notes. I have across 2 versions of the text, an old scanned one in the MIT OCW website, and another new on openstax, which seems to be to be edited by other authors. Does anyone have any idea which one is better content-wise? I’d use the pdf file over the scanned text without a second thought but it is full of unnecessary pictures and seems to unnecessarily prolong each chapter
https://ocw.mit.edu/ans7870/resources/Strang/Edited/Calculus/Calculus.pdf
[ Removed by reddit in response to a copyright notice. ]
Does anyone have a pdf copy of this book for free or a hard copy version I get?
ISBN-10: 0692196382
Amazon Link: https://www.amazon.com.au/Algebra-Learning-Massachusetts-Institute-Technology/dp/0692196382
Which one is more challenging? Which one is more intuitive?
In the artificial intelligence podcast: https://www.youtube.com/watch?v=lEZPfmGCEk0 25:30
He didn't know about Yang, but jokingly said he'd vote for him after hearing about the MATH hat and "Make america think harder".
Just think about this though. I would wager that almost no politicians are actually comfortable with maths and statistics, but when you think about it data and statistics should be a central point of policymaking.
What do you think?
TITLE: Linear Algebra and Learning from Data
AUTHOR: Gilbert Strang (Massachusetts Institute of Technology)
DATE PUBLISHED: January 2019
ISBN: 9780692196380
http://www.cambridge.org/learningfromdata
I received a recommendation for Strang's Linear Algebra text and it seems like a good fit, however, I'll be in a differential equations course at the same time. I learn primarily from text and use lecture mostly to confirm my assumptions. First, why does Strang have two separate books here and second, do I want the combined book or two separate books?
https://www.amazon.com/Linear-Algebra-Learning-Gilbert-Strang/dp/0692196382
An ebook would be great! Thanks!
https://www.amazon.com/Linear-Algebra-Learning-Gilbert-Strang/dp/0692196382
An ebook would be great!
