I still have a few Dover books from my BS in Applied Math days.You've inspired me to go back to my old Leithold Calc book and begin to work problems. Surprised by how much I still remember from 1971.
I love the Morris Kline Calculus Dover book. I use it from time to time to supplement my Calculus classes and I appreciate the straightforward manner it's written. Thank you Dover for keeping these classics alive.
I have a few Dover books. I really like the George Andrews Number Theory book. Aside. My 5 year old likes a dover book! A book called Introductory Graph Theory by Gary Chartrand. It has some ‘puzzles’ and when she is bored she asks me to give her puzzles which should look like graphs. I gave her the Konisberg bridge problem and she thinks I have tricked her. Though she doesn’t know carry over sums in arithmetic but she loves these graph problems. I think pattern recognition and common sense puzzles intrigue children.
Dover Publications has also published original modern books in mathematics in what they call Aurora Series. One of those books is "Calculus: A Rigorous First Course", by Daniel J. Velleman. This is the same guy who wrote "How to prove it". I think both books are great. I bought the latter on your recommendation and I'd really like to hear your comments on the calculus book. It covers calc I and II and it takes a very rigorous approach but in a very comprehensible way. Thank you so much, Math Sorcerer. I'll wait for the video on Velleman's calculus book.
I still have my copy of "Elementary Differential Equations and Boundary Value Problems" by Boyce & DiPrima. I used the IIIrd Edition; it is now in its XIIth Edition. Sorry, I'm still getting used to this new numbering system: I used the 3rd Edition; it is now in its 12th Edition.
I was listening and thought I recognized the first author. Sure enough, I have the Dover edition of Introduction to Analysis by Rosenlicht and Number Theory by Andrews. I got curious and counted 11 Dover books, mostly on subjects that I did not take in school.
Great. Thanks for this video! Each one is cheap, but the entire collection is probably thousands of dollars, so it's nice to see which ones are better priorities.
I took a topology class from Terry Tao and we used that Gamelin and Greene Topology book; everyone I knew in the class loved it. Has that kind of Baby Rudin style but with lots of illuminating diagrams that make it actually readable unlike Rudin, though there are still plenty of proofs in it you'll have to chew on for a while to understand. Easily my favorite Dover book.
Im also thankful to Emily Riehl for publishing her category theory textbook with dover. It was such a pleasant surprise that a recomended textbook for one of my courses didnt cost 60+ euro.
Here's another Dover Book recommendation for you "The Philosophy of Set Theory: An Historical Introduction to Cantor's Paradise" by Mary Tiles. No exercises. This is a book you READ.
Great video. I’ve been considering for months if Andrew’s book was a good addition to my bookshelf, and I think you gave me many good reasons for buying it. I’ve got a small collection of dover books that are not exactly college level, but are great for self study. It includes Kline’s “Mathematics and the Physical World”, JR Pierce’s “An Introduction to information theory” (this one being more interdisciplinary) and “Excursions in Number Theory” by Ogilvy and Anderson. About numerical analysis, I think it’s worth mentioning “Introduction to Applied Numerical Analysis” by Hamming: weird and lacking in rigor, but concentrating on the experimental nature of the subject; the more enciclopedic “Numerical methods for scientists and engineers” is even better, not an introductory book indeed.
I got this really fun little Dover book on Boolean Algebra by R.L. Goodstein. It covers the material and provides complete solutions to all the problems in under 140 pages! The text itself is excellent and very easy to learn from, though it approaches Boolean Algebra from a set theory and pure math background and does not apply the topic to electrical circuits. It's worth the purchase!
Hello Sorcerer! Greetings from Ecuador! Thanks for the content you upload, it has been useful for me as a Math undergraduate student. I wanted to do a request: Perhaps you could do a review of the Art of Problem Solving series or others alike that develop mathematical maturity instead of really advanced topics? Thank you very much :)
Hah! I have that same "About Vectors" book by Hoffmann. I just started working through it a couple of weeks ago. I thought it would an interesting complement to some Calc III and Linear Algebra stuff I've been going through.
I guess I have started a collection of Dover math books, as well. I like the cover art and the books are reasonably priced, especially used copies. I have "Introduction to Graph Theory", "Mathematics for the Non-Mathematician", "Taxicab Geometry", "Introduction to Linear Algebra", and "An Elementary Introduction to the Theory of Probability". I haven't worked through any of them... When I was done with my math sequence in college, I looked through the catalog and saw all this other math that I never heard of and I've been fascinated since then. Hopefully I can work through, and make sense of, some of the books I have! Not sure if or how I'd apply any of the knowledge; I would be learning for learning's sake.
Necesitamos la versión de esté vídeo en tu canal en español , la Editorial Dover tiene las 3 "Bs" en Español BBB porque son Buenos, Bonitos y Baratos !!
One of the Dover books that I like is Hans Sagan's book on the Calculus of Variations. There are other books that are dedicated to the subject, but I found them lacking in rigor and clarity. Sometimes topics from the Calc. Of Variations are treated in cursory fashion in, say, physics textbooks, where one can get the impression that the subject is ad hoc. I read a while ago the novelization of the movie Charlie, which was based on the sci-fi story Flowers For Algernon. I was curious what the author would have Charlie Gordon studying when his brain had reached its peak IQ. One of the things was he was studying the calculus of variations. I guess that was the author's idea of the most advanced mathematics possible. I don't remember the other things Charlie Gordon was studying, except for grammatical subtleties in the Urdu language.
I am newer to self study of maths but I find the Dover books great because i have distaste for reading maths digitally via pdfs and don't want to spend the ridiculously high costs other publishers charge for newer books. I read the Hoffman book About Vectors before Linear Algebra self study and I found it was a great lead in book for what was covered.
Could you review the autobiography of Halmos, 'I Want to be a Mathematician'? I suspect you may have read it because in one clip, you mentioned Halmos' studying habits, which leads me to believe that you have read the book. Thanks to you, I started reading it and I am having lots of fun. I think the book is a must-read for people who study math seriously. I know it is not the kind of books that you usually review, but I really want to know your opinion about the book. So if you have a copy and read it already, please consider it. Thank you for everything!
Oh I don't have that one yet! It's kind of pricey. I will get it eventually:) It sounds very interesting. I do have several books by Halmos and I've read about it and the things he has said. Thank you!!!!!!!!!!
I have four of these books.May I suggest a book by Albert H.Beiler Recreations in the Theory of Numbers (Dover), originally printed in 1964.There is a very interesting chapter on figurate numbers.
Dr. MS, I think that ANYONE who appreciates math books and the math that is in them will truly appreciate Dover math books and have at least a few of them in their possession as I have! I've got LOADS of them in my personal math library, :) :) :) :)
I think I may have EVERY one of the books you listed and MANY more- Dover, Springer, GTM etc, Similar with Physics....as I was a DOUBLE major in Math and Physics way back when
I collect many Dover books. I read old books. I read the original classics. I avoid derivative works. In addition they are pretty inexpensive in second hand bookstores.
Yes, please do something on numerical analysis. Essential for solving most real world DEs and PDEs. Ralston and Rabinowitz is very good, also Cheney and Kincaid. Perhaps others could suggest more.
Thank you for making the video and showing us you dover book collection. I plan on buying more dover books in the future for my math degree. What is your opinion on the discrete mathematics book by Epp ? Do you think its a good book for learning logic, equivalence relations etc ? how does it compare tothe Vellmann book ?
11 months later (and 18,846 views Feb 22, 2023), First Order Mathematical Logic (Dover Books on Mathematics) says "Currently unavailable. We don't know when or if this item will be back in stock." Not saying your video was causal, but next time I see one of these I'll try to get there that day.
Hello Math Sorcerer ... I strongly encourage you to do a review/survey of the Schaum's Outlines Series in Mathematics, and in particular Murray R. Spiegel (Ph.D.), who did a wonderful job of writing many of the the outlines on various topics in that series ... For myself and many others, these outlines along with the Dover books greatly facilitated our efforts, and contributed to our success, while in graduate school.
How come? How come, if all these books are reprinted from original books printed by various publishers and written by different people, they all have the same page size?
Thank you Dover for making learning advanced math and physics affordable
I still have a few Dover books from my BS in Applied Math days.You've inspired me to go back to my old Leithold Calc book and begin to work problems. Surprised by how much I still remember from 1971.
The Dover books always have a proper mathematical front cover.
I love the Morris Kline Calculus Dover book. I use it from time to time to supplement my Calculus classes and I appreciate the straightforward manner it's written. Thank you Dover for keeping these classics alive.
I have a few Dover books. I really like the George Andrews Number Theory book.
Aside. My 5 year old likes a dover book! A book called Introductory Graph Theory by Gary Chartrand. It has some ‘puzzles’ and when she is bored she asks me to give her puzzles which should look like graphs. I gave her the Konisberg bridge problem and she thinks I have tricked her. Though she doesn’t know carry over sums in arithmetic but she loves these graph problems. I think pattern recognition and common sense puzzles intrigue children.
Dover Publications has also published original modern books in mathematics in what they call Aurora Series. One of those books is "Calculus: A Rigorous First Course", by Daniel J. Velleman. This is the same guy who wrote "How to prove it". I think both books are great. I bought the latter on your recommendation and I'd really like to hear your comments on the calculus book. It covers calc I and II and it takes a very rigorous approach but in a very comprehensible way. Thank you so much, Math Sorcerer. I'll wait for the video on Velleman's calculus book.
You know you're getting old when your College textbooks show up as Dover reprints. But Dover books are very high-quality and very reasonably priced.
I still have my copy of "Elementary Differential Equations and Boundary Value Problems" by Boyce & DiPrima. I used the IIIrd Edition; it is now in its XIIth Edition.
Sorry, I'm still getting used to this new numbering system: I used the 3rd Edition; it is now in its 12th Edition.
Love Dover! Still have a bunch.
I love math Dover books, and happy to see some of the ones I have in this pile:)) Keep it up !
Allan's Clark is absolutely marvelous!
i really enjoy the simple but pleasing cover art
I was listening and thought I recognized the first author. Sure enough, I have the Dover edition of Introduction to Analysis by Rosenlicht and Number Theory by Andrews. I got curious and counted 11 Dover books, mostly on subjects that I did not take in school.
that is just awesome!
Great. Thanks for this video! Each one is cheap, but the entire collection is probably thousands of dollars, so it's nice to see which ones are better priorities.
Been looking forward to this video! I love Dover books
A numerical analysis video would be great. Especially with something related to engineering like out of Kreyszig's Advanced Engineering Mathematics
Really Old School typesetting, indeed.
The Cuneiform brings back so many childhood memories.
I took a topology class from Terry Tao and we used that Gamelin and Greene Topology book; everyone I knew in the class loved it. Has that kind of Baby Rudin style but with lots of illuminating diagrams that make it actually readable unlike Rudin, though there are still plenty of proofs in it you'll have to chew on for a while to understand. Easily my favorite Dover book.
I love Dover Books! I've been buying them for thirty years. The abstract designs on many of the math covers just seem to suit the subject.
Im also thankful to Emily Riehl for publishing her category theory textbook with dover. It was such a pleasant surprise that a recomended textbook for one of my courses didnt cost 60+ euro.
Here's another Dover Book recommendation for you "The Philosophy of Set Theory: An Historical Introduction to Cantor's Paradise" by Mary Tiles. No exercises. This is a book you READ.
Great video. I’ve been considering for months if Andrew’s book was a good addition to my bookshelf, and I think you gave me many good reasons for buying it.
I’ve got a small collection of dover books that are not exactly college level, but are great for self study. It includes Kline’s “Mathematics and the Physical World”, JR Pierce’s “An Introduction to information theory” (this one being more interdisciplinary) and “Excursions in Number Theory” by Ogilvy and Anderson. About numerical analysis, I think it’s worth mentioning “Introduction to Applied Numerical Analysis” by Hamming: weird and lacking in rigor, but concentrating on the experimental nature of the subject; the more enciclopedic “Numerical methods for scientists and engineers” is even better, not an introductory book indeed.
I got this really fun little Dover book on Boolean Algebra by R.L. Goodstein. It covers the material and provides complete solutions to all the problems in under 140 pages! The text itself is excellent and very easy to learn from, though it approaches Boolean Algebra from a set theory and pure math background and does not apply the topic to electrical circuits. It's worth the purchase!
Hello Sorcerer! Greetings from Ecuador! Thanks for the content you upload, it has been useful for me as a Math undergraduate student. I wanted to do a request: Perhaps you could do a review of the Art of Problem Solving series or others alike that develop mathematical maturity instead of really advanced topics? Thank you very much :)
Hah! I have that same "About Vectors" book by Hoffmann. I just started working through it a couple of weeks ago. I thought it would an interesting complement to some Calc III and Linear Algebra stuff I've been going through.
I guess I have started a collection of Dover math books, as well. I like the cover art and the books are reasonably priced, especially used copies. I have "Introduction to Graph Theory", "Mathematics for the Non-Mathematician", "Taxicab Geometry", "Introduction to Linear Algebra", and "An Elementary Introduction to the Theory of Probability". I haven't worked through any of them... When I was done with my math sequence in college, I looked through the catalog and saw all this other math that I never heard of and I've been fascinated since then. Hopefully I can work through, and make sense of, some of the books I have! Not sure if or how I'd apply any of the knowledge; I would be learning for learning's sake.
Necesitamos la versión de esté vídeo en tu canal en español , la Editorial Dover tiene las 3 "Bs" en Español BBB porque son Buenos, Bonitos y Baratos !!
One of the Dover books that I like is Hans Sagan's book on the Calculus of Variations. There are other books that are dedicated to the subject, but I found them lacking in rigor and clarity. Sometimes topics from the Calc. Of Variations are treated in cursory fashion in, say, physics textbooks, where one can get the impression that the subject is ad hoc.
I read a while ago the novelization of the movie Charlie, which was based on the sci-fi story Flowers For Algernon. I was curious what the author would have Charlie Gordon studying when his brain had reached its peak IQ. One of the things was he was studying the calculus of variations. I guess that was the author's idea of the most advanced mathematics possible. I don't remember the other things Charlie Gordon was studying, except for grammatical subtleties in the Urdu language.
My first Dover books were the three volumes of Euclid’s Elements I got a Borders in high school!
I love all your Books...filled with amazing Maths and inspirational teaching!!
I am newer to self study of maths but I find the Dover books great because i have distaste for reading maths digitally via pdfs and don't want to spend the ridiculously high costs other publishers charge for newer books. I read the Hoffman book About Vectors before Linear Algebra self study and I found it was a great lead in book for what was covered.
Could you review the autobiography of Halmos, 'I Want to be a Mathematician'? I suspect you may have read it because in one clip, you mentioned Halmos' studying habits, which leads me to believe that you have read the book. Thanks to you, I started reading it and I am having lots of fun. I think the book is a must-read for people who study math seriously. I know it is not the kind of books that you usually review, but I really want to know your opinion about the book. So if you have a copy and read it already, please consider it. Thank you for everything!
Oh I don't have that one yet! It's kind of pricey. I will get it eventually:) It sounds very interesting. I do have several books by Halmos and I've read about it and the things he has said. Thank you!!!!!!!!!!
@@TheMathSorcerer Thank you for the reply! And please get the book if you have a chance, I guarantee that you will not regret.
I have four of these books.May I suggest a book by Albert H.Beiler Recreations in the Theory of Numbers (Dover), originally printed in 1964.There is a very interesting chapter on figurate numbers.
Dr. MS, I think that ANYONE who appreciates math books and the math that is in them will truly appreciate Dover math books and have at least a few of them in their possession as I have! I've got LOADS of them in my personal math library, :) :) :) :)
Thanks so much for doing this video, really appreciate it 😊
You are so welcome!
Sir u inspired me to study maths thank you so much plz keep guiding us 🙏
I think I may have EVERY one of the books you listed and MANY more- Dover, Springer, GTM etc, Similar with Physics....as I was a DOUBLE major in Math and Physics way back when
I collect many Dover books. I read old books. I read the original classics. I avoid derivative works. In addition they are pretty inexpensive in second hand bookstores.
Yes, please do something on numerical analysis. Essential for solving most real world DEs and PDEs. Ralston and Rabinowitz is very good, also Cheney and Kincaid. Perhaps others could suggest more.
Have you considered doing a review video of the Kline Calculus book in the Dover series? Lots of people seem to like that one.
I have a lot of these math books! I read almost all of the one on number theory.
Any book with "Counterexamples" in the title is worth its weight in gold. I see two in your stack.
I was thinking about getting a dover book on introduction to graph theory
appropriate pizza analogy. dover books 'fed' me during my 20s.
Thinking about buying Tensor Analysis on Manifolds from Dover, do you have an opinions on that?
I don't have that one yet, I should get it too! I collect books so, I think they are all worth it:)
Just got a copy off amazon lol:) It's so cheap!
As a guy who likes Algebra, my favorites are: Basic Algebra I & II (JACOBSON), Lie Algebra (JACOBSON)
Thank you for this video, Dover books are really good for quality and price, I wish they can have digital version as well, it's digital time now...
I’m kinda waiting on your list of books for numerical analysis and your perspectives regarding that subject
One thing I'll point out for those on a budget: A lot of these books are available on Kindle for under $10.
Thank you for making the video and showing us you dover book collection. I plan on buying more dover books in the future for my math degree. What is your opinion on the discrete mathematics book by Epp ? Do you think its a good book for learning logic, equivalence relations etc ? how does it compare tothe Vellmann book ?
I love the internet, but there is something about opening a physical book and getting started studying it. It’s addicting
Springer next?
That’s a really good idea!!!!!!
Thank you👍
Nice video!:) I would like to see your collection of number theory books. Did you study any advanced books on this topic?
Have a nice day!:')
11 months later (and 18,846 views Feb 22, 2023), First Order Mathematical Logic (Dover Books on Mathematics) says "Currently unavailable.
We don't know when or if this item will be back in stock." Not saying your video was causal, but next time I see one of these I'll try to get there that day.
Hello Math Sorcerer ... I strongly encourage you to do a review/survey of the Schaum's Outlines Series in Mathematics, and in particular Murray R. Spiegel (Ph.D.), who did a wonderful job of writing many of the the outlines on various topics in that series ... For myself and many others, these outlines along with the Dover books greatly facilitated our efforts, and contributed to our success, while in graduate school.
What are your recommendations for buying used books on Amazon. I’m looking use this summer more wisely but I don’t want to buy new
if your tired of studying math looking for the answer not 42 but illusion of confusion was the final variable
I love Dover!
Can u share your research experience?
Dover tokes some olds Mir books?
No Flatland in your collection?
Dover books are amazing ❤️
Veary good we ned mor defferanal equation reivew books thanks for you buatafual explane
I think it would be overpowered if Dover would reprint Woods Calculus book. If and only if they release it, I would buy it at the speed of light.
How come?
How come, if all these books are reprinted from original books printed by various publishers and written by different people, they all have the same page size?
That’s what you pay for. It takes work to do that consistently. And Dover does that.
sirr can you recommend me book for fuzzy lecturer?
Good library. Gödel should be included.
What is the total value of your book collection as of 2023?
Great vid! Just wondering if there is a Dover book on elementary/introductory Probability?
The one by Rozanov is really inexpensive.
@@TheMathSorcerer I have that one but found it to be way too concise and not for beginners.
All books by Gamelin are good
Dover publishes math/science books rangning from High School to Graduate Level.
Imagine making a Jenga tower with these books
LOL!!
Mir books would also make a good video - 🤩
Now the mystery of the math troll from NY, we need to know who, how and why...
Your channel is torture. Every book you show I want them. I want them all, but I'm broke. ;-;
do you really imagine odd questions without answers
Very cool!
I miss the days of affordable pocket books
Silverman translations are much more clearer and readable than some of the original russian books!!
Oh interesting!
I have more than these.
I'm pretty sure you can eat your math book.
LOL!!!!!!!!!
You shouldn’t be so excited someone’s from Israel
Dude, I'm ho(p)meless 🤔🤔🤭🤭
First
Math is not invented.