"Complex Variables" by John W. Dettman is a great read: the first part covers the geometry/topology of the complex space from a Mathematician's perspective, and the second part covers application of complex analysis to differential equations and integral transformations, etc. from a Physicist's perspective.
To say that _Understanding Analysis_ will make you a master at analysis is an overstatement. I think it’s a fantastic intro to the subject, but nothing much beyond that.
Also check out marcus du sautoy's Around the World in 80 Games and Hannah fry's Hello world. These books are generally written with a touch of fun if you are looking for books about maths but not like seriously textbooks and theorems.
More than three books in the video caught my attention. As an engineering student, your videos are very inspiring, I hope that after I finish my bachelor's and master's degrees, I can take a bachelor's degree in Physics or Mathematics (both seem equally beautiful to me, but I can only choose one) although I would never study it in my country lol.
Yess! I’m also hoping to study engineering, hopefully at Cambridge but we’ll see! I wanted to study either Mathematics or Physics at University but I loved both too much to only study one so decided on Engineering which combines both rather well (^o^)🐙
Really loved the video Ioana, thank you so much. Its really interesting to hear people who are immersed in a subject discuss how they got into it. I'm interested in maths but don't have a degree in it - and I'm going to be buying at least a couple of books from your list (I already have the Barbara Oakley one). Perhaps you could do another one with say an undergrad studying a different subject at Oxford and discussing their top 8 books ? I'ld love to see videos covering Biology, History, Economics, English ...
The book I used a lot was called "The Chemistry Maths Book" by Erich Steiner. It's comparable to "Mathematical Techniques", I dive into these two titles every time I haven't done mathematics for a while and I get back into the subject relatively quickly. Understanding Analysis is also a book that I love to read. One of my favourite books is called "Number" written by Tobias Dantzig, it's kind of a history of mathematics, I would recommend it to anyone interested in mathematics. Many thanks for sharing your titles with us.
Very good vedio and excellent presentation. Books written by Dr. Richard Courant are also excellent. Some of Indian mathematics books are also very good like RD Sharma for fundamentals.
Yes! Suvrov's text on pre-calc is excellent. The typesetting makes the book a lot easier. Funny: it has a mandatory explanation of how variables in calculus are like communist dialectics.
What an interesting set of books. I have a lot of mathematics books but I have none on your list. I will definitely have a look at some of these. Thank you. One that I can recommend to you would be John Stillwell Mathematics and Its History. I always thought that putting mathematics in it's historical context is very useful and just really intersting.
Wow I can really relate! At the beginning of the day I'm trying to solve a hard math problem, and at the end of the day I'm reading a book about the Industrial Revolution. Mathematics and books rock!!
Hi beatiful video, I will surely read these books, thank you. Hi, may I ask you some questions regarding the requirements for entry to Oxford, if I don't bother you, please? For example, to take the test do you have to have a certain high school leaving average, please? Because math is a subject I love, but I can't stand history... thank you a lot for your videos, hoping to see new content soon, have a nice day. May I ask what is your study method and if you read aloud or in your head, please?
A mind for mathematics Why study Mathematics Mathematical Techniques The Art of Problem Solving vol 1 Algorithmic Puzzles Understanding Analysis Complex Numbers from A to z The housekeeper and the professor
One thing I have in common with you is that I also always have had a passion for mathematics since elementary school. I love your accent and I hope you excel and grow far in the arts of Mathematics and wherever your dreams and passions lie. You can teach me mathematics any, you'd be an amazing instructor because your passion for Mathematics is Soo strong and passionate... I would study with you any day 😉☺️👍. Wish you the best on your journey to excelling in mathematics 👍😉, take care.
NAMASTE ROMAN!!! Some books 📚 if you like to read 1.The God created the integer by Stephen Hawking. 2. A beautiful mind 3.Indian movie Srinivas ramanujan. 4. Aryabhatta movie 5.Vedic Mathematics book 6.Shakuntala devi human calculator 7.Astrology(jyotish) Some other self improvement 📚 1.Bhagwat geeta 2.The book of secret by osho 3.Most famous serial World Wide "MAHABHARAT" if you like it roman please comment on these recommendations for you. which book you read first please comment it.
Hello good afternoon how are you?? I`m study of international Unversity but I want to study of Harvard Unversity of Usa. So I have only 1 year after I have IELTS 7.5 and need to the best math books for the Harvard`s exam so how is you give me the advice. Can you halp me?? Thank you for the answer🥰🥰.
Don't ask "how are you" or say "good afternoon" in a comment, it's weird. She doesn't know anything about your Indian tests or Harvard because she lives and goes to college in neither of those countries my dude. If you're on the Internet and are serious about getting into Harvard you need to ask yourself why... why are you watching TH-cam videos like this and wasting time here?
I was wondering if you could recommend books on advanced math without the proofs (or just a high-level summary of the proofs). My background is in physics, and some times it would be helpful to understand the foundations of the math I use (without having to spend years inching through the related proofs).
Which books do you think would work best as audiobooks? I’m in my first year of studying engineering and am really loving my math courses. I’m considering changing to a mathematics/ data science double degree
I would say that any book that is not that heavy on formulas works well as an audiobook! Especially when you just want to get a grasp on what the material is all about, audiobooks are great. If you want to go deeper into the material, I would definitely recommend writing down the equations and understanding what everything means - for this, I guess you'd need either the physical or the electronic version of the book. For the ones that I have mentioned, I would say that "A mind for numbers", "Why study Mathematics", "Algorithmic Puzzles", and "The Housekeeper and the Professor" would work well as audiobooks. ☺️ Good luck with your degree!!!
Dear Iona, to make best out of a Course what do you do? Are Expository Lectures; notes and assignments provided by instructor enough for you or you also need to read Textbooks and solve problems from others sources also.
hello u recommended the "a mind for numbers" for a student that it is in the 1st class of high school?As I can see the most books you say in the video is for University students that's why I am asking.
im wanting to study maths at warwick next year and in year 12 right now, what would be your top recommendations for me to be doing over the summer? Thanks
no mention of Rudin, Pedersen(analysis now), Conway, serge lange algebra, or hungerford algebra wtf. As a pure math phd student, I do not approve of this video.
Surely! Plenty of the books I’ve talked about are suitable for A Level students - I would suggest “A mind for numbers” as a good starter in order to “learn how to learn” maths; then “Why study Mathematics” to give you some perspectives about the maths degree at uni; “Algorithmic Puzzles” is fun especially for interviews and admissions exams prep; and then “Mathematical Techniques” if you want a head start into uni maths 😅
I am sorry , anybody saying they are Mathematicians but not recommending or read the book (not movie), "The Man Who Knew Infinity: A Life of the Genius Ramanujan" is not a serious Mathematicians for me.
@@ioanaroman2947 You should try becoming an Actuary. If you study Acturial Science in the 4th year and get good grades, you will have to pass fewer exams. If you study Math, you will have to pass 13 exams to become an Actuary. Paige Yallop who graduated from Cambridge in Astrophysics is studying to become an Actuary and she has passed 9 out of the 13 exams. Her TH-cam channel is - PaigeY.
Hi 👋 I got offered some scholarships that helped with the accommodation costs, but for the tuition I got the student loan from the UK government (this was right before Brexit, so EU students were allowed to get the loan as well, and the tuition fee was 9,250£ / year) Hope this helps! :)
Lol these books are terrible for the most part and this video is too long. I recommend everyone to checkout the math sorcerer, he gives books that build mathematical knowledge from the ground up and his books are actually about math and he’s very quick to the point
![[#2024MAMA] BIGBANG (빅뱅) - 뱅뱅뱅 (BANG BANG BANG) + FANTASTIC BABY | Mnet 241123 방송](http://i.ytimg.com/vi/EQsYfiPR9uM/mqdefault.jpg)
"Complex Variables" by John W. Dettman is a great read: the first part covers the geometry/topology of the complex space from a Mathematician's perspective, and the second part covers application of complex analysis to differential equations and integral transformations, etc. from a Physicist's perspective.
To say that _Understanding Analysis_ will make you a master at analysis is an overstatement. I think it’s a fantastic intro to the subject, but nothing much beyond that.
Books I enjoyed reading: The Music of Primes
Fermat's Last Theorem
A Brief History of Infinity
The Man who Only Loved Numbers (about Erdos)
Should I read Fermat Last Theorem?
@@dreamer2387 It's one of the most readable popular mathematics book ever. Give it a try. there are some legendary stories in it
Also check out marcus du sautoy's Around the World in 80 Games and Hannah fry's Hello world. These books are generally written with a touch of fun if you are looking for books about maths but not like seriously textbooks and theorems.
More than three books in the video caught my attention. As an engineering student, your videos are very inspiring, I hope that after I finish my bachelor's and master's degrees, I can take a bachelor's degree in Physics or Mathematics (both seem equally beautiful to me, but I can only choose one) although I would never study it in my country lol.
Same for me here, I think I’m going to take Physics for my bachelor’s degree though.
Ké bien..!
Yess! I’m also hoping to study engineering, hopefully at Cambridge but we’ll see! I wanted to study either Mathematics or Physics at University but I loved both too much to only study one so decided on Engineering which combines both rather well (^o^)🐙
Really loved the video Ioana, thank you so much. Its really interesting to hear people who are immersed in a subject discuss how they got into it. I'm interested in maths but don't have a degree in it - and I'm going to be buying at least a couple of books from your list (I already have the Barbara Oakley one).
Perhaps you could do another one with say an undergrad studying a different subject at Oxford and discussing their top 8 books ?
I'ld love to see videos covering Biology, History, Economics, English ...
Book 1 4:16
Book 2 5:36
Book 3 7:11
Book 4 8:29
Book 5 9:28
Book 6 11:07
Book 7 12:19
Book 8 13:32
The book I used a lot was called "The Chemistry Maths Book" by Erich Steiner. It's comparable to "Mathematical Techniques", I dive into these two titles every time I haven't done mathematics for a while and I get back into the subject relatively quickly. Understanding Analysis is also a book that I love to read. One of my favourite books is called "Number" written by Tobias Dantzig, it's kind of a history of mathematics, I would recommend it to anyone interested in mathematics.
Many thanks for sharing your titles with us.
@umitdilap Hi there! Many thanks for your recommendation. Cheers!
Very good vedio and excellent presentation.
Books written by Dr. Richard Courant are also excellent.
Some of Indian mathematics books are also very good like RD Sharma for fundamentals.
For rigourous and interesting Math and physics books, check soviet era published books...
I have checked your channel bro - its just so rigourous
I love Soviet Era books, they are Gems
Yes! Suvrov's text on pre-calc is excellent. The typesetting makes the book a lot easier. Funny: it has a mandatory explanation of how variables in calculus are like communist dialectics.
The Aops math books are amazing. They are quite challenging and are great for competition prep.
Were you always good at maths or did you study a lot? If it’s because of hard work, what would you recommend to get better at maths?
Elementary Linear Algebra by Howard Anton is a favorite of mine.
Will check it out!! 😉
Excellent bibliography. Thanks
interesting compilation! I will definitely look at "The houskeeper and the professor"
I love that book Complex Number A..Z. My favorite of all is Putnam and Beyond,
What an interesting set of books. I have a lot of mathematics books but I have none on your list. I will definitely have a look at some of these. Thank you. One that I can recommend to you would be John Stillwell Mathematics and Its History. I always thought that putting mathematics in it's historical context is very useful and just really intersting.
Wow I can really relate! At the beginning of the day I'm trying to solve a hard math problem, and at the end of the day I'm reading a book about the Industrial Revolution. Mathematics and books rock!!
That’s the spirit!!
Very good video. Thank you!
No “Mathematical Methods” by Boas?
Great recommendations!
You are a princess ❤️ and, probably, you will be a good mathematician.
Hi beatiful video, I will surely read these books, thank you. Hi, may I ask you some questions regarding the requirements for entry to Oxford, if I don't bother you, please? For example, to take the test do you have to have a certain high school leaving average, please? Because math is a subject I love, but I can't stand history... thank you a lot for your videos, hoping to see new content soon, have a nice day. May I ask what is your study method and if you read aloud or in your head, please?
A mind for mathematics
Why study Mathematics
Mathematical Techniques
The Art of Problem Solving vol 1
Algorithmic Puzzles
Understanding Analysis
Complex Numbers from A to z
The housekeeper and the professor
Thank you for the video.
Alex's adventure in Numberland is also a good book
One thing I have in common with you is that I also always have had a passion for mathematics since elementary school. I love your accent and I hope you excel and grow far in the arts of Mathematics and wherever your dreams and passions lie. You can teach me mathematics any, you'd be an amazing instructor because your passion for Mathematics is Soo strong and passionate... I would study with you any day 😉☺️👍. Wish you the best on your journey to excelling in mathematics 👍😉, take care.
Great video!❤
Thank you!!! ❤️❤️❤️
Recomendation for A/L combined maths books please ....
Thanks!
Thank you
Alex adventures in numberland is a good book on Math
THANK YOU
Hi 👋 from Azerbaijan Baku l am also BSMath student and l really liked your videos 👍 💗
Can you suggest that how to do calculus to real analysis in begginer to advance level any website for thesis or something like that
You're currently my favorite Math TH-camr. I'd love to see a day in the life video of you at Oxford.
Yes, every other ''math youtuber'' is either disheveled and gross looking or an Indian which is almost the same thing
NAMASTE ROMAN!!!
Some books 📚 if you like to read
1.The God created the integer by Stephen Hawking.
2. A beautiful mind
3.Indian movie Srinivas ramanujan.
4. Aryabhatta movie
5.Vedic Mathematics book
6.Shakuntala devi human calculator
7.Astrology(jyotish)
Some other self improvement 📚
1.Bhagwat geeta
2.The book of secret by osho
3.Most famous serial World Wide "MAHABHARAT"
if you like it roman please comment on these recommendations for you.
which book you read first please comment it.
amazing recommendations ...and I must geeta and Mahabharat both very powerful and incredible and everyone must read in life
Andh bhkt
I’m 17 i want to join the military as an artillery crewmen for the us army. Do you have any books to recommend.
Thank you for the heart. Do you have books I can read
@@gamerboy-jh3qx Nah you don't need to read books, you're going into artillery.
Beautiful and smart cool combo.
Fantastic💟
Hello good afternoon how are you?? I`m study of international Unversity but I want to study of Harvard Unversity of Usa. So I have only 1 year after I have IELTS 7.5 and need to the best math books for the Harvard`s exam so how is you give me the advice. Can you halp me?? Thank you for the answer🥰🥰.
Don't ask "how are you" or say "good afternoon" in a comment, it's weird. She doesn't know anything about your Indian tests or Harvard because she lives and goes to college in neither of those countries my dude. If you're on the Internet and are serious about getting into Harvard you need to ask yourself why... why are you watching TH-cam videos like this and wasting time here?
How to avoid burnout in mathematics?
Great job , God Bless, Please use Art in Math, since we surround by "beauty and truth"
Project Zero will be proud of you.
Can any one tell me which book, syllabus , USA education uused. Tell how I get pdf math book pdf grade 10
Can we please get timestamps in the video description?
can you recommend Mathematical physics books too
Ojo estoy siendo SARCÁSTICO: deberías guardar los libros e ir a modelar ❤
Miss your videos!
I was wondering if you could recommend books on advanced math without the proofs (or just a high-level summary of the proofs). My background is in physics, and some times it would be helpful to understand the foundations of the math I use (without having to spend years inching through the related proofs).
Which books do you think would work best as audiobooks?
I’m in my first year of studying engineering and am really loving my math courses. I’m considering changing to a mathematics/ data science double degree
I would say that any book that is not that heavy on formulas works well as an audiobook! Especially when you just want to get a grasp on what the material is all about, audiobooks are great. If you want to go deeper into the material, I would definitely recommend writing down the equations and understanding what everything means - for this, I guess you'd need either the physical or the electronic version of the book.
For the ones that I have mentioned, I would say that "A mind for numbers", "Why study Mathematics", "Algorithmic Puzzles", and "The Housekeeper and the Professor" would work well as audiobooks. ☺️ Good luck with your degree!!!
Smart, cute, interesting!🎉
Dear Iona, to make best out of a Course what do you do? Are Expository Lectures; notes and assignments provided by instructor enough for you or you also need to read Textbooks and solve problems from others sources also.
If you don’t mind answering what did you get on the MAT and what year did you sit it?
You look amazing 😍
Thanks for the useful video. I wanted to ask you how long it takes to study Mathematics at Oxford University ?
The BA is 3 years long, but if you want to stay for the Masters (MMath) it’s 4 years. My plan is to stay for 4 years ☺️
hello u recommended the "a mind for numbers" for a student that it is in the 1st class of high school?As I can see the most books you say in the video is for University students that's why I am asking.
Great
im wanting to study maths at warwick next year and in year 12 right now, what would be your top recommendations for me to be doing over the summer? Thanks
Hi will you do video what you learned from third year like first and second year?
Yes, will film it soon! ☺️
I mathematics students
nice content subscribed
- Aprendendo a aprender
no mention of Rudin, Pedersen(analysis now), Conway, serge lange algebra, or hungerford algebra wtf. As a pure math phd student, I do not approve of this video.
Hi, I like your channel.
Could you recommend me books for learning calculus, lineal algebra and statistics 📊? I’ll appreciate you, thank you.
Hi! did you find any?
@@Unknown-ey4yh hahahaa yes bro, I did. There are some options on Amazon
@@Emanuel-yb3qk can you share the list pls?
Hay loana how I can get the mathematical techniques book free tank you
I could not find it online as a pdf, I would definitely recommend buying it though - it is extremely useful and well written!
Could you plz tell me the books suitable for students doing ALs out of the above books
Surely! Plenty of the books I’ve talked about are suitable for A Level students - I would suggest “A mind for numbers” as a good starter in order to “learn how to learn” maths; then “Why study Mathematics” to give you some perspectives about the maths degree at uni; “Algorithmic Puzzles” is fun especially for interviews and admissions exams prep; and then “Mathematical Techniques” if you want a head start into uni maths 😅
Thank you so much, I was eargerly waiting for this reply☺ @@ioanaroman2947
Very helpful 👍...from india
❤❤❤
I am sorry , anybody saying they are Mathematicians but not recommending or read the book (not movie), "The Man Who Knew Infinity: A Life of the Genius Ramanujan" is not a serious Mathematicians for me.
Ah ok, good to know
Ioana, are you Romanian? Your name and accent sound so. Anyways, hello from Romania!
Yes, of course! 🙈 Chiar așteptam să apară mai mulți români prin comentarii 😇
@@ioanaroman2947 You should try becoming an Actuary. If you study Acturial Science in the 4th year and get good grades, you will have to pass fewer exams. If you study Math, you will have to pass 13 exams to become an Actuary. Paige Yallop who graduated from Cambridge in Astrophysics is studying to become an Actuary and she has passed 9 out of the 13 exams. Her TH-cam channel is - PaigeY.
bella ed intelligente...complimenti!!!!!
Ho ware you? Have you finished your degree?
Not yet! I’m doing my last year at Oxford now 😊
@@ioanaroman2947 awesome! Keep us posted about your progress, if there is time for that 👏
Can I mail you for math advice
Mail? What are you trying to do? Figure out her home address? Naughty naughty. No graping or stalking.
Are you Greek?
No, I’m Romanian 😅
change mic
What career are you pursuing?
I am still not 100% sure, but for now I want to go into Data Science ☺️
How are you doing?
She was doing good until your creepy comment.
@@chickenstrangler3826you are way creepier with your name and profile pic.
@@McFlashh How'd you get your name? By flashing women?
Hey did you get a scolarship?
Hi 👋 I got offered some scholarships that helped with the accommodation costs, but for the tuition I got the student loan from the UK government (this was right before Brexit, so EU students were allowed to get the loan as well, and the tuition fee was 9,250£ / year)
Hope this helps! :)
Too much intro!
So cutev
I need you as my girlfriend, you are just my type.
Lol these books are terrible for the most part and this video is too long. I recommend everyone to checkout the math sorcerer, he gives books that build mathematical knowledge from the ground up and his books are actually about math and he’s very quick to the point
... The art of problem solving books are not terrible
www.rupp.edu.kh/news/documents/A_Course_in_Real_Analysis.pdf