ha! I just searched your channel's name on youtube for the sole purpose of finding book recommendations, lo and behold your most recent video covers the topic! Your online presence is a blessing to the world.
This got me thinking of a question i've had for a while. Maths, and to a lesser extent other STEM subjects, very much builds on itself. To understand one topic you need a firm grasp of the topics that went before it, if you don't then you will struggle. In comparison, in a subject like UK History an understanding of, say, the Tudors may help you understand the Stewarts and the English Civil War but it's by no meansnecessary. I suspect that this might account for why many people seem to report that they understood maths classes up to a point and then really struggled. The point where the struggle started was where they misunderstood something or missed something so their Jenga Tower of Mathematical understanding is missing a block or two. For me, that was where I changed schools in the middle of a school year (my old school went bankrupt) and my new school seems to have done topics in a different order so I'm sure I missed some, but don't know what. I was wondering if there is anywhere a 'Map of Mathematics' that would help a student, especially one self studying, get a handle on their study by telling them "To understand this area you need to be familiar with these topics as it builds on them". I suspect that Maths educators probably carry something like this in their heads, possibly without really knowing they do.
Oh I really enjoyed this. So many good memories from high school and undergrad. I used the applied physics in high school for excelling in my WEST AFRICAN SENIOR SECONDARY SCHOOL CERTIFICATE EXAMS (WASSCE) and used differential equations in the first year in undergrad
I wish I knew about these books when I took physics and chemistry! Would have been such a massive help. I would have definitely understood the concepts better if I knew these books existed. 3000 solved problems, wow, thats a must-have for every student.
As a 'EE student in the early 80s our instructor for Transmission Lines, high frequency EM theory recommended the Scharms by Robert Chipman (1968) and his notes. We had no other formal text. Its one of those college references that I've kept as a professional.
@@TheMathSorcerer oh believe me I knew what you meant about how fragile and yellow these older one are. I've retrieved a PDF, absent of course old tome aroma.
Right, Schaum Outlines Series is a very good set of math/ science books for self study. I have finished studied the whole book of Linear Algebra, 5th ed. It took 4 solid months, 3-4 hours/day. Following the advice from Prof Math Sorcerer, I have solved 25% of the supplementary problems. The 6th edition is the same as the 5th edition, the 6th moves Appendix D to becomes Section 4.14 Generalized Inverse and 4.16 Least Square Solution.
Yes, Schaum's outline/reviews generally pretty good (though in public libraries and bookstores they are jammed against competitors from other publishers).
Best schaums in that list are complex variable, linear algebra, and partial differential equations (pde). The pde book is an extended and newer version of 'applied partial differential eq' which is sold by dover publishers by the same authors. The schaum on pde has adverse opinions because it is oriented toward numerical method. Its chapters on analytic methods are in some cases brief or simpler than the same material in textbooks as you pointed out in you video .
@@mujtabaalam5907 l call those three the best of them because they are important subjects, I read them, they are pedagogical written, and I learned a lot from them. I do believe that numerical analysis or methods are an important tool or field in mathematics in particular for differential equations.
I appreciate you trying to encourage us to learn math and science. I think it's great. Thank you. I recently learned that Fermat took math as a hobby and today he is immortal because of it. Who knows maybe your encouragement will give us another Fermat ! Thanks again for your amazing videos 💖😊
I just happened to pick up a used copy of the Discrete Math book you showed a half-priced books a couple days ago for $3.99. I got to get back there this weekend as they had several used Schaum's Outline book available in their science section.
Great Video !!! I was thinking about buying a physics book lately and study it simultaneously with math. Great guide! I might buy the Schaum's outlines in physics.
I have old copies of Schaum's Operations Research and Numerical Analysis. Really good stuff in the whole series. Do you plan on doing any book reviews on the topic of Operations research or Management Science/Analytics? It's basically applying advanced math (not upper-division math like topology, more like basic discrete math and some calculus) to problems involving optimization of how to allocate resources in complex systems. The Lieberman/Hillier book is the most popular, maybe your audience would benefit from seeing some reviews on OR books or books on other "applied" math subjects.
I think this Schaum's Logic book is really good on propositional and predicate logic (the mathy, proof stuff). From an introduction and elimination rule for each of the five basic operators of propositional logic and for each of the two quantifiers of the predicate logic, you just learn to prove everything. Although the method of laying out the proofs is highly structured, with numbered steps and meaningful indentations, working through this gave me good background for writing mathematical proofs that aren't in such a rigid format. The Schaum book is very lean in its presentation, though. Things are stated very succinctly, and then it's off to the rigid proofs. So I did ease my way into the Schaums by first doing the propositional and predicate logic chapters (6-8) in my 13th edition of Hurley and Watson's "A Concise Introduction to Logic" first. Despite its title, it's a lot less concise than Schaums and really helped me ease into and make the most of Schaum's beautiful, elegant presentation. (Of course, inductive logic is good, too. Not mathy, but very useful for evaluating the arguments you encounter day-to-day.)
Limitless source of knowledge and sound advice. The reverence with with you flip through those pages, and the purposedness of your sailing through the table of contents, makes me get emotional. Thanks for your generous sharing of all this !
I’ve known about Schaums books for a while but I always see some negative reviews regarding it, some say they’re riddled with mistakes but I guess now that I’ve seen you’ve covered it, I’m going to go ahead and buy them
In the same league as the Complex Variables and the Topology book by Schaum's, are the Theoretical Mechanics and Electrodynamics book. The Quantum mechanics book is a bit messy, but so is quantum mechanics.
Hi guys , I'm asking for help/advice I hated math since my first day and I think this is because it taught to me in a wrong way. I'm planning to study math for zero ( I mean zero ! from the very basic things like adding and subtraction !) How can I learn math from this amazing channel ? There is a lot of content here , if there is a roadmap or something (example: study this playlist then this is the second one then this is the third ... and so on ). Thanks!
I love my Schaum's (I collect Books too....LOL) I use them a lot, to get some 'R&R': Revision & reference....LOL They're priceless & I rank them right next to my other faves: *REA Problem Solvers (rare, but kinda expensive Books) *DeMystified Series (modern & also pricey).
Hey man I’m really slow at studying because I genuinely think and learn slowly and it always feels like I won’t have enough time to thoroughly study. What do I do man? If there was 1000 hours in the week I would spend it studying.
Useful guide, doing physics at university so schaums physics and maths books will be of great help along with other textbook’s recommended on this channel.
Would you recommend taking college algebra or pre calc in college? I am going into engineering and I don't want to be behind but I don't want to struggle either. I took calculus in high school and I struggled with it due to the algebra.
Have you (or anyone reading this comment) tried to complement a topic with the e-book/kindle version of a schaum's? From what I've seen, is not that big of a difference in price individually, but it starts to sum up. I think I would still try to get the physical version of the topics that I want to learn the best or the ones I think I would use the most. Any feedback or opinions are appreciated :)
can you help me with some materials about roadmaps for this sciences? I've decided that I want to get into science and research and next year to apply for a bachelor's in the field but I want to use this year to fill my knowledge and learn things that will make my life easier in the future and I would love a list or something from start to finish where I can check the subjects in a field. Thanks and I love your work
Please recommend a book about high school geometry proofs. It seems that there is a lack of them or show a method: How to solve high school gom,try problems /
I don’t think the Math Sorcerer gets down to the really basic math. I’m also extremely limited in my understanding of math; I can add, subtract, multiply and divide, but don’t know about anything beyond that, such as fractions. (I went to really bad CA public schools ☹️). So I’d like to learn things like fractions which would be useful, but I think the way to do that would be to go to Amazon or a used book store and look in the children’s math section; buy at whatever your level is, and work up from there. Good luck!
I was never really good at math (probably because I didn’t pay attention) and now I’m majoring in math in college. Just started the first year and I’m taking my first math courses this semester, math 2 (pre calculus). What books would you recommend I get math sorcerer supreme? Math 2 topics include algebraic, exponential, logarithmic and trigonometric functions and their inverses and identities, conic sections, sequences, series, the binomial theorem and mathematical induction.
Get these before you have to take a course and become familiar with the content of a Schaum's outline. It can serve as a preview, a textbook in itself, and a review of a subject. I have used these to very good effect. Keep in mind that the sequence of presentations may not exactly parallel an instructor's selected textbook or the instructor's order of presentation. That's why you may want to familiarize yourself beforehand. Also, I think some instructors consider using these to be cheating. So, be careful.
Would you recommend using these books as the primary self study material? That is the impression i got Fein this video. Or are you envisioning the an active collage student working on these books after class? Thanks in advance!
Thanks for the reply! Im starting another course using "Modern Mathematical Statistics with Applications" and am looking for something a little more worked. 😅 But not that meny books have popped up so far.
Schaum's are great, however the newer Schaum's paper quality has gone downhill. The paper is closer to newspaper thin unlike the older editions. You have to be careful not to rip it! Guess they're trying to cut costs.
My current interests lie in self studying Computer Science and as of this minute I am working my way through the Harvard CS50 playlist. Is there a book you would recommend to supplement the CS50 course?
I'm not at all good at solving math problems ...I'm talking about 11th and 12th grade maths....I can often not get how to approach a problem or like what to do to get the answer....what should I do about this?any suggestions for anyone?...
What do people do with all the math and sciences they learn on their own? How does one practically apply what they've learned? Or is that not the point.
Personally, I found the Schaums series useless. With a 1-2 page summary only and then expected to solve all the problems given, no chance on Earth. And even the summaries were quite useless, imoho......they might be ok if you already know your stuff yet using these to actually learn from, nah.
3000 physics problems, Woo! 6000 algebra problems, Woo! We can be assured that neither Stephen Hawking or Richard Feynman took that route! Advanced Calculus, Volume 10, Woo!
It was like I was spending two hours in a bookstore.
I love this channel.
ha! I just searched your channel's name on youtube for the sole purpose of finding book recommendations, lo and behold your most recent video covers the topic! Your online presence is a blessing to the world.
❤️
This got me thinking of a question i've had for a while. Maths, and to a lesser extent other STEM subjects, very much builds on itself. To understand one topic you need a firm grasp of the topics that went before it, if you don't then you will struggle. In comparison, in a subject like UK History an understanding of, say, the Tudors may help you understand the Stewarts and the English Civil War but it's by no meansnecessary.
I suspect that this might account for why many people seem to report that they understood maths classes up to a point and then really struggled. The point where the struggle started was where they misunderstood something or missed something so their Jenga Tower of Mathematical understanding is missing a block or two. For me, that was where I changed schools in the middle of a school year (my old school went bankrupt) and my new school seems to have done topics in a different order so I'm sure I missed some, but don't know what.
I was wondering if there is anywhere a 'Map of Mathematics' that would help a student, especially one self studying, get a handle on their study by telling them "To understand this area you need to be familiar with these topics as it builds on them". I suspect that Maths educators probably carry something like this in their heads, possibly without really knowing they do.
Oh I really enjoyed this. So many good memories from high school and undergrad. I used the applied physics in high school for excelling in my WEST AFRICAN SENIOR SECONDARY SCHOOL CERTIFICATE EXAMS (WASSCE) and used differential equations in the first year in undergrad
I love Schaum's Outlines! Thank you very much!
You are so welcome!
I wish I knew about these books when I took physics and chemistry! Would have been such a massive help. I would have definitely understood the concepts better if I knew these books existed. 3000 solved problems, wow, thats a must-have for every student.
I’m starting physics and chemistry in about two weeks and this list is JUST what I needed to fill out my personal library 🙌🏻🙌🏻
As a 'EE student in the early 80s our instructor for Transmission Lines, high frequency EM theory recommended the Scharms by Robert Chipman (1968) and his notes. We had no other formal text. Its one of those college references that I've kept as a professional.
Oh that is awesome. Thank you for sharing!!
@@TheMathSorcerer oh believe me I knew what you meant about how fragile and yellow these older one are. I've retrieved a PDF, absent of course old tome aroma.
Thank you, Sorcerer. If you had ever been my teacher in life I would not have dreaded math and done so well in it.
Right, Schaum Outlines Series is a very good set of math/ science books for self study. I have finished studied the whole book of Linear Algebra, 5th ed. It took 4 solid months, 3-4 hours/day. Following the advice from Prof Math Sorcerer, I have solved 25% of the supplementary problems. The 6th edition is the same as the 5th edition, the 6th moves Appendix D to becomes Section 4.14 Generalized Inverse and 4.16 Least Square Solution.
Yes, Schaum's outline/reviews generally pretty good (though in public libraries and bookstores they are jammed against competitors from other publishers).
Best schaums in that list are complex variable, linear algebra, and partial differential equations (pde). The pde book is an extended and newer version of 'applied partial differential eq' which is sold by dover publishers by the same authors. The schaum on pde has adverse opinions because it is oriented toward numerical method. Its chapters on analytic methods are in some cases brief or simpler than the same material in textbooks as you pointed out in you video .
Why call it the best them? Are you interested in numerical analysis?
@@mujtabaalam5907 l call those three the best of them because they are important subjects, I read them, they are pedagogical written, and I learned a lot from them. I do believe that numerical analysis or methods are an important tool or field in mathematics in particular for differential equations.
I'm starting my 2nd degree (mathematics) in the fall and I'm very excited to finally study these!
I appreciate you trying to encourage us to learn math and science. I think it's great. Thank you. I recently learned that Fermat took math as a hobby and today he is immortal because of it. Who knows maybe your encouragement will give us another Fermat !
Thanks again for your amazing videos 💖😊
I just happened to pick up a used copy of the Discrete Math book you showed a half-priced books a couple days ago for $3.99. I got to get back there this weekend as they had several used Schaum's Outline book available in their science section.
Great Video !!! I was thinking about buying a physics book lately and study it simultaneously with math. Great guide! I might buy the Schaum's outlines in physics.
Yeah totally worth it. I love books!!!!
Woah, can't believe I never knew about these. This seems like a lifesaver, exactly what I needed
I have old copies of Schaum's Operations Research and Numerical Analysis. Really good stuff in the whole series. Do you plan on doing any book reviews on the topic of Operations research or Management Science/Analytics? It's basically applying advanced math (not upper-division math like topology, more like basic discrete math and some calculus) to problems involving optimization of how to allocate resources in complex systems. The Lieberman/Hillier book is the most popular, maybe your audience would benefit from seeing some reviews on OR books or books on other "applied" math subjects.
Oh wow how interesting!!!! Thank you for this!!
Saludos desde Nicaragua. Gracias por los consejos y la motivación.
Que bueno que hay gente que habla español que ve al mago
Saludos !
Just started the Schaums Logic book. Long time fan of their books.
I think this Schaum's Logic book is really good on propositional and predicate logic (the mathy, proof stuff). From an introduction and elimination rule for each of the five basic operators of propositional logic and for each of the two quantifiers of the predicate logic, you just learn to prove everything.
Although the method of laying out the proofs is highly structured, with numbered steps and meaningful indentations, working through this gave me good background for writing mathematical proofs that aren't in such a rigid format.
The Schaum book is very lean in its presentation, though. Things are stated very succinctly, and then it's off to the rigid proofs. So I did ease my way into the Schaums by first doing the propositional and predicate logic chapters (6-8) in my 13th edition of Hurley and Watson's "A Concise Introduction to Logic" first. Despite its title, it's a lot less concise than Schaums and really helped me ease into and make the most of Schaum's beautiful, elegant presentation.
(Of course, inductive logic is good, too. Not mathy, but very useful for evaluating the arguments you encounter day-to-day.)
So much great knowledge
Could you also do a best of on statistics?
Great idea thank you !!
@@TheMathSorcerer Thanks for the great content looking forward to it
really appreciate it
I love how he smells the book...this is a true connoisseur.
Lol
Limitless source of knowledge and sound advice. The reverence with with you flip through those pages, and the purposedness of your sailing through the table of contents, makes me get emotional. Thanks for your generous sharing of all this !
👍
Thank for sharing your resource of knowledge 👏👏👏👏👏
Jackpot! I got two years in will learn all i can!
Will be purchasing these in bulk.
I’ve known about Schaums books for a while but I always see some negative reviews regarding it, some say they’re riddled with mistakes but I guess now that I’ve seen you’ve covered it, I’m going to go ahead and buy them
Yaay, great for self study! :)
I wish the "math sorcerer" had been around when I was an undergraduate in mathematics.
Had studied Calculus and Adv Calculus in my graduation days.
Later used Coordinate also.
Excellent video.
Buenísima recopilación , muchos traducidos al español,
Unos clásicos Spiegel y Lipschtuz, generaciones nos formamos con ellos.
:)
There we go!!
7:58 what would you recommend for PDEs?
this video is lifechanging
Best basic concepts books of math for Topic - calculus, Linear alzebra, Differntial eqn , (purpose - self study for competitive exam)
In the same league as the Complex Variables and the Topology book by Schaum's, are the Theoretical Mechanics and Electrodynamics book. The Quantum mechanics book is a bit messy, but so is quantum mechanics.
Hi guys , I'm asking for help/advice
I hated math since my first day and I think this is because it taught to me in a wrong way.
I'm planning to study math for zero ( I mean zero ! from the very basic things like adding and subtraction !)
How can I learn math from this amazing channel ? There is a lot of content here , if there is a roadmap or something (example: study this playlist then this is the second one then this is the third ... and so on ). Thanks!
I love my Schaum's (I collect Books too....LOL)
I use them a lot, to get some 'R&R':
Revision & reference....LOL
They're priceless & I rank them right next to my other faves:
*REA Problem Solvers (rare, but kinda expensive Books)
*DeMystified Series (modern & also pricey).
Damn.... You are really a math sorcerer. 🙂
Yay more affordable books! I just got a few dover books!!!
Awesome !!
In a World Before Kahn Academy this was a thing. I have the DiffEq, Chem and a Calculus one
Thanks sir for this video
thanks so much
Hey man I’m really slow at studying because I genuinely think and learn slowly and it always feels like I won’t have enough time to thoroughly study.
What do I do man? If there was 1000 hours in the week I would spend it studying.
Useful guide, doing physics at university so schaums physics and maths books will be of great help along with other textbook’s recommended on this channel.
I’m studying astronomy on Kahn academy and learning a lot about black hole and about to buy a Astronomy book.
👍
Would you recommend taking college algebra or pre calc in college? I am going into engineering and I don't want to be behind but I don't want to struggle either. I took calculus in high school and I struggled with it due to the algebra.
It’s up to you but there is no rush you know. If you take college algebra you can probably do really well and get an A.
What are your thoughts on Tom Apostol's Calculus Volumes I & II?
I absolutely love Schaum's books with fully solved problems. I have roughly 8 books by Schaum.
How can you get the solution at hand?
Organic Chemistry: "You can't handle 3000 Problems in O-chem!!"
Hahaha
You are Amazing 🤩
I like old editions more than the new ones.
Have you (or anyone reading this comment) tried to complement a topic with the e-book/kindle version of a schaum's? From what I've seen, is not that big of a difference in price individually, but it starts to sum up. I think I would still try to get the physical version of the topics that I want to learn the best or the ones I think I would use the most. Any feedback or opinions are appreciated :)
Hmm interesting. No I have not. I haven’t really looked at the ebooks.
can you help me with some materials about roadmaps for this sciences? I've decided that I want to get into science and research and next year to apply for a bachelor's in the field but I want to use this year to fill my knowledge and learn things that will make my life easier in the future and I would love a list or something from start to finish where I can check the subjects in a field. Thanks and I love your work
Please recommend a book about high school geometry proofs. It seems that there is a lack of them or show a method: How to solve high school gom,try problems /
I like the Schaum's Outlines but sometimes I think the proofs are not written so well.
Could you please give us some new book titles to start math from scratch?
I don’t think the Math Sorcerer gets down to the really basic math. I’m also extremely limited in my understanding of math; I can add, subtract, multiply and divide, but don’t know about anything beyond that, such as fractions. (I went to really bad CA public schools ☹️). So I’d like to learn things like fractions which would be useful, but I think the way to do that would be to go to Amazon or a used book store and look in the children’s math section; buy at whatever your level is, and work up from there. Good luck!
Ya I will try to do that good idea!!!
I was never really good at math (probably because I didn’t pay attention) and now I’m majoring in math in college. Just started the first year and I’m taking my first math courses this semester, math 2 (pre calculus). What books would you recommend I get math sorcerer supreme? Math 2 topics include algebraic, exponential, logarithmic and trigonometric functions and their inverses and identities, conic sections, sequences, series, the binomial theorem and mathematical induction.
I always sneeze when I smell real old books.
Dust?
Hearing you got a B in physics made me feel better about my B in physics 1.
😊
how do you manage and store all those books?
Bookshelves 👍
@@TheMathSorcerer i gotta see these shelves. Shelf video?
Need help in writing proof of function and mapping.
Check out my playlist on functions and relations. It has a lot of worked out proofs in those topics👍
Get these before you have to take a course and become familiar with the content of a Schaum's outline. It can serve as a preview, a textbook in itself, and a review of a subject. I have used these to very good effect. Keep in mind that the sequence of presentations may not exactly parallel an instructor's selected textbook or the instructor's order of presentation. That's why you may want to familiarize yourself beforehand.
Also, I think some instructors consider using these to be cheating. So, be careful.
Is this true? Do instructors really consider them as cheating? Damn, these books must be the shit then lmao
Dear Prof, can you suggest math books for learning quantitative finance?
Please how do I get the books
Hey, Math Sorcerer (and everyone that comment here
Would you recommend using these books as the primary self study material? That is the impression i got Fein this video. Or are you envisioning the an active collage student working on these books after class?
Thanks in advance!
I think getting more books in addition to these is helpful!
Thanks for the reply!
Im starting another course using "Modern Mathematical Statistics with Applications" and am looking for something a little more worked. 😅
But not that meny books have popped up so far.
are they great for starting something from scratch?
Schaum's are great, however the newer Schaum's paper quality has gone downhill. The paper is closer to newspaper thin unlike the older editions. You have to be careful not to rip it! Guess they're trying to cut costs.
My current interests lie in self studying Computer Science and as of this minute I am working my way through the Harvard CS50 playlist. Is there a book you would recommend to supplement the CS50 course?
You can try "Computer science distilled"
What's the Harvard CS50 playlist?
@@dot5816 It's a playlist with the entire intro course to Computer Science given by Harvard University
just finish the course, then focus on a language and making projects in said language
will it be from high school level or ug level
I'm not at all good at solving math problems ...I'm talking about 11th and 12th grade maths....I can often not get how to approach a problem or like what to do to get the answer....what should I do about this?any suggestions for anyone?...
You just need to pick a good textbook and learn from the solution manual
There's the chemistry book you didn't talk about?
Is it too late to pursue physics degree in early 30's?
Looking for resources to chat about algebra
What do people do with all the math and sciences they learn on their own? How does one practically apply what they've learned? Or is that not the point.
Phyics derivations are hell
smooth brain engineer here, why do people study physics and ecuations so deeply? dont bash me plz
Personally, I found the Schaums series useless. With a 1-2 page summary only and then expected to solve all the problems given, no chance on Earth. And even the summaries were quite useless, imoho......they might be ok if you already know your stuff yet using these to actually learn from, nah.
Can I speak to you in private please. Because I am facing a problem that stopped me from continuing my studies, I hope you can help me
You are going to ask for money aren’t you??? 😂😂
NO.
First
3000 physics problems, Woo! 6000 algebra problems, Woo! We can be assured that neither Stephen Hawking or Richard Feynman took that route! Advanced Calculus, Volume 10, Woo!
excellent job 👏
❤️❤️