Math is way more fun when you study yourself, not in school. I feel like school just keeps you in this box and makes maths SO dull
Seriously i m 21 year old and want to restart my schooling in proper way , seriously i want to study math , science and every other subjects from beginning . Subjects are interesting but school makes them only mark oriented. I wish life give me second chance.
I feel like my hate of Mathematics was rooted in my lack of a solid foundation. I've been thinking about studying it again and this video definitely helps in guiding me down the right path.
I'm an engineer and i can now see how little I've learnt all through school and college, even thought it always felt a lot. The way we are taught maths, just remembering the formulas not why and what they are, it makes it feel like so much more than it actually is. The feeling of truly understanding a mathematical concept and knowing how and where it is applied is priceless.
"We always want to study what we don't have to study" Oof, guilty.
Mathematics was always slightly more interesting when i wasnt studying for school
The biggest lie I’ve heard and believed for so long was the idea that some people are born to do math and some can’t, believing in this makes you stop trying because its as if it is entirely determined and out of your control. Going back to the basics and really starting from the beginning will help, I never had the right foundation so I struggled whenever the questions would change. There’s no such thing as a “math person”, you can learn anything you want.
0:33 Discrete Mathematics (beginner friendly) 2:32 Math proofs/abstract Math (good for math majors) 3:36 Pre-Algebra 4:16 College Algebra 4:58 Algebra & Trig (pre-calc) [can skip] 6:01 Calculus 6:55 Calc advanced (needs logic & proof writing) 7:45 differential equations (integrations help) 8:30 Linear Algebra 9:04 Linear Algebra (proof based) 9:29 Mathematical Statistics 9:56 Probability 10:11 Complex Variables 10:45 Real Analysis 11:57 Abstract Algebra [pre-rec Linear algebra] 12:25 Topology 12:42 Combinatorics 13:05 Naive Set Theory 13:27 Functional Analysis 13:43 Graph Theory 14:11 Higher Level math 14:45 Other Books Don’t have to master :)
Does anyone else feel they really want to study when they are older as compared to when In school ?
Math was always the most difficult subject for me in HS, but at the same time it felt more fulfilling when I actually understood it.
Discrete math, logic, and boolean algebra are really handy for understanding elementary computer science. Even if you don't study computer science, having some familiarity with the math goes a long way in understanding how a computer works.
I was always “bad” in mathematics, This year I started learning on my own, I’m in my 30s. This really helped me. Thank you!
Book List mentioned in this video Discrete Math books: Discrete Mathematics with Application 2nd edition by Susanna S. Epp Discrete Mathematical Structures by Kolman | Busby | Ross Proof writing books: Mathematical Proofs A Transition to Advanced Mathematics by Gary Chartrand, Albert D. Polimeni, and Ping Zhung An Introduction to Abstract Mathematics by Robert J. Bond and William J. Keane Pre-Algebra: AGS Pre-Algebra The Pacemaker Curriculum Pre-Algebra College Algebra: College Algebra 3rd edition Jerome E. Kaufmann Blitzer College Algebra A Graphical Approach to Algebra & Trigonometry by Hornby, Lial and Rockwold Geometry by Jurgensen Brown King Calculus: Calculus by James Stewart Calculus 3rd edition by Michael Spivak Differential Equations: A first Course in Differential Equations with Modeling Applications 10th edition by Dennis G. Zill Ordinary Differential Equations With Applications by Larry C. Andrews Linear Algebra: Elementary Linear Algebra 3rd edition by Howard Anton Linear Algebra 4th edition by Stephen H. Friedberg, Arnold J. Insel, and Lawrence E. Spence Linear Algebra by Serge Lang Linear Algebra by Kenneth Hoffman and Ray Kunze Finite-Dimensional Vector Spaces 2nd edition by Paul R.Halmos Linear Algebra 3rd edition by Schaum's Outlines Linear Algebra and Its Application 2nd edition by Gilbert Strang Statistics: Mathematical Statistics with Applications 6th edition Dennis D. Wacherly, Wilia Mendenhall III, and Richard L. Scheaffer A First Course in Probability by Sheldon Ross Complex Variables/Complex Analysis: Fundamentals of Complex Analysis with Applications to Engineering and Science 3rd edition by E. B. Saff and A. D. Snider Complex Variables and Applications 7th edition James Ward Brown and Ruel V. Churchill Real Analysis: Analysis I 2nd edition by Terence Tan Analysis II by Terence Tan Advanced Calculus A Course in Mathematical Analysis by Patrick M. Fitzpatrick Principles of Mathematical Analysis by Walter Rudin Elementary Analysis: The Theory of Calculus Abstract Algebra: Abstract Algebra A First Course by Dan Saracino Contemporary Abstract Algebra 3rd edition by Joseph A. Gallian Introduction to Topology 2nd edition by Theodore W. Gamelin and Robert Everist Greene Applied Combinatorics by Alan Tucker Naïve Set Theory by Paul R. Halmos Introductory Functional Analysis with Applications by Kreyszic Graph Theory Ronal Gould Real Analysis 2nd edition by H. L. Royden Real and Complex Analysis by Rudin Algebra by Michael Artin Calculus Made Easy by Silvanus P. Thompson F.R.S. and Martin Gardner
The thing is: math is a language. You should be teached about how to be fluent in it, being able to improvise and to make equations like you write an idea or essay with words. In school/university they only teach you empirically like, put this number here this other here and calculate.
I am 53 years old and I have decided to start studying again. I had no foundation growing up and lots people trying to and holding me down. Now I have gotten rid of the dead weight, I am going to start over from the beginning and do it right and for myself. I am going to try this method and ideas. The whole concept of teaching yourself is appealing to me. 😁😁😁
Thanks so much for these books. I suffered brain damage years ago in high school and my math knowledge was lost. I'm working to get back to where I was and beyond. I gave up because I would have to build up from literally the beginning. Yet, with these, I know I'll get there! Learning the right way!
Timestamps 00:00 - Intro 00:31 - Discrete Mathematics 02:32 - Mathematical Proofs 03:36 - Pre-Algebra 04:15 - College Algebra 04:58 - Algebra & Trigonometry 06:01 - Calculus 07:46 - Differential Equations 08:30 - Linear Algebra 09:29 - Mathematicsl Statistics 10:11 - Complex Analysis 10:46 - Mathematical Analysis 11:54 - Abstract Algebra 12:25 - Topology 12:42 - Combinatorics 13:04 - Naive Set Theory 13:26 - Functional Analysis 13:43 - Graph Theory 13:59 - Real Analysis 14:44 - Linear Algebra 15:35 - Calculus 16:09 - Geometry 16:27 - Linear Algebra 16:58 - Outro
There's free knowledge everywhere... All you have to do is be hungry enough to consume..😁
I was never particularly strong in math, until in 7th grade when I started self studying Algebra 1. I took a CBE and jumped 2 years ahead in math. Self studying is the best advice I could give anyone.
@TheMathSorcerer