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Books/courses for math-interested 17 year old?
Announcing the arrival of Valued Associate #679: Cesar Manara
Planned maintenance scheduled April 23, 2019 at 00:00UTC (8:00pm US/Eastern)Best Maths Books for Non-MathematiciansIntermediate Text in Combinatorics?discrete math book suitable for younger person?Self Teaching Theory for Olympiad. Need advice for books.How Advanced is 'Elementary' Linear Algebra?How do I teach university level mathematics to myself?Recommend 2nd logic and discrete math books?Books recommendation for combinatorics - From beginner to researchLooking for Euclidean and Non-Euclidean Geometry books’ recommendations (first year of undergrad).What is a good comprehensive maths book?
$begingroup$
I'm a 17 year old junior looking to further develop my mathematical skills in order to better prepare myself for university level pure mathematics. I'm looking for books/courses in Analysis, Linear Algebra, Discrete Maths, Combinatorics, Statistics or anything that could be helpful. I've already applied to different universities for summer courses but would also like to get more information by people who have studied maths themselves.
Thanks in advance!
linear-algebra combinatorics analysis statistics book-recommendation
asked Mar 27 at 20:18
Bjorn RambiBjorn Rambi
62
$endgroup$
|
show 6 more comments
$begingroup$
I'm a 17 year old junior looking to further develop my mathematical skills in order to better prepare myself for university level pure mathematics. I'm looking for books/courses in Analysis, Linear Algebra, Discrete Maths, Combinatorics, Statistics or anything that could be helpful. I've already applied to different universities for summer courses but would also like to get more information by people who have studied maths themselves.
Thanks in advance!
linear-algebra combinatorics analysis statistics book-recommendation
asked Mar 27 at 20:18
Bjorn RambiBjorn Rambi
62
$endgroup$
1
$begingroup$
At 17 years old most students are introduced to subjects involving algebra pre-calculus, entry calculus and some basic linear algebra. Combinatorics and Discrete Maths, at least where I study, are taught in the 2nd-3rd year of university and rightfully so, as they use tools from previous courses. As far as Statistics are concerned, one can study elementary stuff and an entry-level course fairly easy.
$endgroup$
– Rebellos
Mar 27 at 20:23
$begingroup$
It sounds like you are ahead of the game in mathematics. Perhaps your time would be better spent with literature, art and music. Physical fitness should also be prioritized at your age. The very best mathematicians are pretty well rounded.
$endgroup$
– John Douma
Mar 27 at 20:28
$begingroup$
I liked the book numbers. It develops much more than skills, it makes one curious about mathematics. I think, this is perhaps more important.
$endgroup$
– Dietrich Burde
Mar 27 at 20:29
$begingroup$
@JohnDouma I play soccer at a youth level and train 6 times a week. Have read some books of Dostoevsky(definitely not enough but still). I might be a little ahead of the game but I'm sure there are others much better than me. Would just like to know if there's anything that could help me go to a top university in the future and use my time wisely
$endgroup$
– Bjorn Rambi
Mar 27 at 20:34
1
$begingroup$
@BjornRambi You might want to consider reaching out to a local university and see if any math professors would be willing to meet with you semi-regularly to hang out and chat about math. I (graduate student, not professor) met with a high schooler weekly all of last semester, and we discussed a variety of “higher” mathematics in varying degrees of formality.
$endgroup$
– Santana Afton
Mar 27 at 20:59
|
show 6 more comments
$begingroup$
I'm a 17 year old junior looking to further develop my mathematical skills in order to better prepare myself for university level pure mathematics. I'm looking for books/courses in Analysis, Linear Algebra, Discrete Maths, Combinatorics, Statistics or anything that could be helpful. I've already applied to different universities for summer courses but would also like to get more information by people who have studied maths themselves.
Thanks in advance!
linear-algebra combinatorics analysis statistics book-recommendation
asked Mar 27 at 20:18
Bjorn RambiBjorn Rambi
62
$endgroup$
I'm a 17 year old junior looking to further develop my mathematical skills in order to better prepare myself for university level pure mathematics. I'm looking for books/courses in Analysis, Linear Algebra, Discrete Maths, Combinatorics, Statistics or anything that could be helpful. I've already applied to different universities for summer courses but would also like to get more information by people who have studied maths themselves.
Thanks in advance!
linear-algebra combinatorics analysis statistics book-recommendation
linear-algebra combinatorics analysis statistics book-recommendation
asked Mar 27 at 20:18
Bjorn RambiBjorn Rambi
62
asked Mar 27 at 20:18
Bjorn RambiBjorn Rambi
62
asked Mar 27 at 20:18
Bjorn RambiBjorn Rambi
62
asked Mar 27 at 20:18
Bjorn RambiBjorn Rambi
62
asked Mar 27 at 20:18
Bjorn RambiBjorn Rambi
62
62
1
$begingroup$
At 17 years old most students are introduced to subjects involving algebra pre-calculus, entry calculus and some basic linear algebra. Combinatorics and Discrete Maths, at least where I study, are taught in the 2nd-3rd year of university and rightfully so, as they use tools from previous courses. As far as Statistics are concerned, one can study elementary stuff and an entry-level course fairly easy.
$endgroup$
– Rebellos
Mar 27 at 20:23
$begingroup$
It sounds like you are ahead of the game in mathematics. Perhaps your time would be better spent with literature, art and music. Physical fitness should also be prioritized at your age. The very best mathematicians are pretty well rounded.
$endgroup$
– John Douma
Mar 27 at 20:28
$begingroup$
I liked the book numbers. It develops much more than skills, it makes one curious about mathematics. I think, this is perhaps more important.
$endgroup$
– Dietrich Burde
Mar 27 at 20:29
$begingroup$
@JohnDouma I play soccer at a youth level and train 6 times a week. Have read some books of Dostoevsky(definitely not enough but still). I might be a little ahead of the game but I'm sure there are others much better than me. Would just like to know if there's anything that could help me go to a top university in the future and use my time wisely
$endgroup$
– Bjorn Rambi
Mar 27 at 20:34
1
$begingroup$
@BjornRambi You might want to consider reaching out to a local university and see if any math professors would be willing to meet with you semi-regularly to hang out and chat about math. I (graduate student, not professor) met with a high schooler weekly all of last semester, and we discussed a variety of “higher” mathematics in varying degrees of formality.
$endgroup$
– Santana Afton
Mar 27 at 20:59
|
show 6 more comments
1
$begingroup$
At 17 years old most students are introduced to subjects involving algebra pre-calculus, entry calculus and some basic linear algebra. Combinatorics and Discrete Maths, at least where I study, are taught in the 2nd-3rd year of university and rightfully so, as they use tools from previous courses. As far as Statistics are concerned, one can study elementary stuff and an entry-level course fairly easy.
$endgroup$
– Rebellos
Mar 27 at 20:23
$begingroup$
It sounds like you are ahead of the game in mathematics. Perhaps your time would be better spent with literature, art and music. Physical fitness should also be prioritized at your age. The very best mathematicians are pretty well rounded.
$endgroup$
– John Douma
Mar 27 at 20:28
$begingroup$
I liked the book numbers. It develops much more than skills, it makes one curious about mathematics. I think, this is perhaps more important.
$endgroup$
– Dietrich Burde
Mar 27 at 20:29
$begingroup$
@JohnDouma I play soccer at a youth level and train 6 times a week. Have read some books of Dostoevsky(definitely not enough but still). I might be a little ahead of the game but I'm sure there are others much better than me. Would just like to know if there's anything that could help me go to a top university in the future and use my time wisely
$endgroup$
– Bjorn Rambi
Mar 27 at 20:34
1
$begingroup$
@BjornRambi You might want to consider reaching out to a local university and see if any math professors would be willing to meet with you semi-regularly to hang out and chat about math. I (graduate student, not professor) met with a high schooler weekly all of last semester, and we discussed a variety of “higher” mathematics in varying degrees of formality.
$endgroup$
– Santana Afton
Mar 27 at 20:59
1
1
$begingroup$
At 17 years old most students are introduced to subjects involving algebra pre-calculus, entry calculus and some basic linear algebra. Combinatorics and Discrete Maths, at least where I study, are taught in the 2nd-3rd year of university and rightfully so, as they use tools from previous courses. As far as Statistics are concerned, one can study elementary stuff and an entry-level course fairly easy.
$endgroup$
– Rebellos
Mar 27 at 20:23
$begingroup$
At 17 years old most students are introduced to subjects involving algebra pre-calculus, entry calculus and some basic linear algebra. Combinatorics and Discrete Maths, at least where I study, are taught in the 2nd-3rd year of university and rightfully so, as they use tools from previous courses. As far as Statistics are concerned, one can study elementary stuff and an entry-level course fairly easy.
$endgroup$
– Rebellos
Mar 27 at 20:23
$begingroup$
It sounds like you are ahead of the game in mathematics. Perhaps your time would be better spent with literature, art and music. Physical fitness should also be prioritized at your age. The very best mathematicians are pretty well rounded.
$endgroup$
– John Douma
Mar 27 at 20:28
$begingroup$
It sounds like you are ahead of the game in mathematics. Perhaps your time would be better spent with literature, art and music. Physical fitness should also be prioritized at your age. The very best mathematicians are pretty well rounded.
$endgroup$
– John Douma
Mar 27 at 20:28
$begingroup$
I liked the book numbers. It develops much more than skills, it makes one curious about mathematics. I think, this is perhaps more important.
$endgroup$
– Dietrich Burde
Mar 27 at 20:29
$begingroup$
I liked the book numbers. It develops much more than skills, it makes one curious about mathematics. I think, this is perhaps more important.
$endgroup$
– Dietrich Burde
Mar 27 at 20:29
$begingroup$
@JohnDouma I play soccer at a youth level and train 6 times a week. Have read some books of Dostoevsky(definitely not enough but still). I might be a little ahead of the game but I'm sure there are others much better than me. Would just like to know if there's anything that could help me go to a top university in the future and use my time wisely
$endgroup$
– Bjorn Rambi
Mar 27 at 20:34
$begingroup$
@JohnDouma I play soccer at a youth level and train 6 times a week. Have read some books of Dostoevsky(definitely not enough but still). I might be a little ahead of the game but I'm sure there are others much better than me. Would just like to know if there's anything that could help me go to a top university in the future and use my time wisely
$endgroup$
– Bjorn Rambi
Mar 27 at 20:34
1
1
$begingroup$
@BjornRambi You might want to consider reaching out to a local university and see if any math professors would be willing to meet with you semi-regularly to hang out and chat about math. I (graduate student, not professor) met with a high schooler weekly all of last semester, and we discussed a variety of “higher” mathematics in varying degrees of formality.
$endgroup$
– Santana Afton
Mar 27 at 20:59
$begingroup$
@BjornRambi You might want to consider reaching out to a local university and see if any math professors would be willing to meet with you semi-regularly to hang out and chat about math. I (graduate student, not professor) met with a high schooler weekly all of last semester, and we discussed a variety of “higher” mathematics in varying degrees of formality.
$endgroup$
– Santana Afton
Mar 27 at 20:59
|
show 6 more comments
2 Answers
2
active
oldest
votes
$begingroup$
You might enjoy Combinatorics Through Guided Discovery.
answered Mar 27 at 22:04
Michael JoyceMichael Joyce
12.4k22040
$endgroup$
add a comment |
$begingroup$
For introductory book on analysis, I would recommend Stephen Abbott's Understanding Analysis. It's written both very cleanly and concisely, giving it the advantage of being extremely readable, all without missing the formalities of analysis that are the focus at this level, especially if you are self studying. After this book, you may proceed with baby Rudin or Bartle's Elements of Real Analysis
For linear algebra, Sheldon Axler's Linear Algebra Done right and Gilbert Strang's Linear Algebra and Its Applications are the books to go with.
For abstract algebra, Fraleigh's A First Course in Abstract Algebra, 7th Edition is a good book for self study. It is easy and good for the beginners, and it has a complete solution manual written by the author.
answered Mar 28 at 15:33
Vatsal LimbachiaVatsal Limbachia
928
$endgroup$
$begingroup$
Please. Axler is well-written but teaches bad algebra. Strang is oftentimes incomprehensible without a lecturer.
$endgroup$
– darij grinberg
Mar 29 at 3:52
add a comment |
Your Answer
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2 Answers
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active
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2 Answers
2
active
oldest
votes
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active
oldest
votes
$begingroup$
You might enjoy Combinatorics Through Guided Discovery.
answered Mar 27 at 22:04
Michael JoyceMichael Joyce
12.4k22040
$endgroup$
add a comment |
$begingroup$
You might enjoy Combinatorics Through Guided Discovery.
answered Mar 27 at 22:04
Michael JoyceMichael Joyce
12.4k22040
$endgroup$
add a comment |
$begingroup$
You might enjoy Combinatorics Through Guided Discovery.
answered Mar 27 at 22:04
Michael JoyceMichael Joyce
12.4k22040
$endgroup$
You might enjoy Combinatorics Through Guided Discovery.
answered Mar 27 at 22:04
Michael JoyceMichael Joyce
12.4k22040
answered Mar 27 at 22:04
Michael JoyceMichael Joyce
12.4k22040
answered Mar 27 at 22:04
Michael JoyceMichael Joyce
12.4k22040
answered Mar 27 at 22:04
Michael JoyceMichael Joyce
12.4k22040
12.4k22040
add a comment |
add a comment |
$begingroup$
For introductory book on analysis, I would recommend Stephen Abbott's Understanding Analysis. It's written both very cleanly and concisely, giving it the advantage of being extremely readable, all without missing the formalities of analysis that are the focus at this level, especially if you are self studying. After this book, you may proceed with baby Rudin or Bartle's Elements of Real Analysis
For linear algebra, Sheldon Axler's Linear Algebra Done right and Gilbert Strang's Linear Algebra and Its Applications are the books to go with.
For abstract algebra, Fraleigh's A First Course in Abstract Algebra, 7th Edition is a good book for self study. It is easy and good for the beginners, and it has a complete solution manual written by the author.
answered Mar 28 at 15:33
Vatsal LimbachiaVatsal Limbachia
928
$endgroup$
$begingroup$
Please. Axler is well-written but teaches bad algebra. Strang is oftentimes incomprehensible without a lecturer.
$endgroup$
– darij grinberg
Mar 29 at 3:52
add a comment |
$begingroup$
For introductory book on analysis, I would recommend Stephen Abbott's Understanding Analysis. It's written both very cleanly and concisely, giving it the advantage of being extremely readable, all without missing the formalities of analysis that are the focus at this level, especially if you are self studying. After this book, you may proceed with baby Rudin or Bartle's Elements of Real Analysis
For linear algebra, Sheldon Axler's Linear Algebra Done right and Gilbert Strang's Linear Algebra and Its Applications are the books to go with.
For abstract algebra, Fraleigh's A First Course in Abstract Algebra, 7th Edition is a good book for self study. It is easy and good for the beginners, and it has a complete solution manual written by the author.
answered Mar 28 at 15:33
Vatsal LimbachiaVatsal Limbachia
928
$endgroup$
$begingroup$
Please. Axler is well-written but teaches bad algebra. Strang is oftentimes incomprehensible without a lecturer.
$endgroup$
– darij grinberg
Mar 29 at 3:52
add a comment |
$begingroup$
For introductory book on analysis, I would recommend Stephen Abbott's Understanding Analysis. It's written both very cleanly and concisely, giving it the advantage of being extremely readable, all without missing the formalities of analysis that are the focus at this level, especially if you are self studying. After this book, you may proceed with baby Rudin or Bartle's Elements of Real Analysis
For linear algebra, Sheldon Axler's Linear Algebra Done right and Gilbert Strang's Linear Algebra and Its Applications are the books to go with.
For abstract algebra, Fraleigh's A First Course in Abstract Algebra, 7th Edition is a good book for self study. It is easy and good for the beginners, and it has a complete solution manual written by the author.
answered Mar 28 at 15:33
Vatsal LimbachiaVatsal Limbachia
928
$endgroup$
For introductory book on analysis, I would recommend Stephen Abbott's Understanding Analysis. It's written both very cleanly and concisely, giving it the advantage of being extremely readable, all without missing the formalities of analysis that are the focus at this level, especially if you are self studying. After this book, you may proceed with baby Rudin or Bartle's Elements of Real Analysis
For linear algebra, Sheldon Axler's Linear Algebra Done right and Gilbert Strang's Linear Algebra and Its Applications are the books to go with.
For abstract algebra, Fraleigh's A First Course in Abstract Algebra, 7th Edition is a good book for self study. It is easy and good for the beginners, and it has a complete solution manual written by the author.
answered Mar 28 at 15:33
Vatsal LimbachiaVatsal Limbachia
928
answered Mar 28 at 15:33
Vatsal LimbachiaVatsal Limbachia
928
answered Mar 28 at 15:33
Vatsal LimbachiaVatsal Limbachia
928
answered Mar 28 at 15:33
Vatsal LimbachiaVatsal Limbachia
928
928
$begingroup$
Please. Axler is well-written but teaches bad algebra. Strang is oftentimes incomprehensible without a lecturer.
$endgroup$
– darij grinberg
Mar 29 at 3:52
add a comment |
$begingroup$
Please. Axler is well-written but teaches bad algebra. Strang is oftentimes incomprehensible without a lecturer.
$endgroup$
– darij grinberg
Mar 29 at 3:52
$begingroup$
Please. Axler is well-written but teaches bad algebra. Strang is oftentimes incomprehensible without a lecturer.
$endgroup$
– darij grinberg
Mar 29 at 3:52
$begingroup$
Please. Axler is well-written but teaches bad algebra. Strang is oftentimes incomprehensible without a lecturer.
$endgroup$
– darij grinberg
Mar 29 at 3:52
add a comment |
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1
$begingroup$
At 17 years old most students are introduced to subjects involving algebra pre-calculus, entry calculus and some basic linear algebra. Combinatorics and Discrete Maths, at least where I study, are taught in the 2nd-3rd year of university and rightfully so, as they use tools from previous courses. As far as Statistics are concerned, one can study elementary stuff and an entry-level course fairly easy.
$endgroup$
– Rebellos
Mar 27 at 20:23
$begingroup$
It sounds like you are ahead of the game in mathematics. Perhaps your time would be better spent with literature, art and music. Physical fitness should also be prioritized at your age. The very best mathematicians are pretty well rounded.
$endgroup$
– John Douma
Mar 27 at 20:28
$begingroup$
I liked the book numbers. It develops much more than skills, it makes one curious about mathematics. I think, this is perhaps more important.
$endgroup$
– Dietrich Burde
Mar 27 at 20:29
$begingroup$
@JohnDouma I play soccer at a youth level and train 6 times a week. Have read some books of Dostoevsky(definitely not enough but still). I might be a little ahead of the game but I'm sure there are others much better than me. Would just like to know if there's anything that could help me go to a top university in the future and use my time wisely
$endgroup$
– Bjorn Rambi
Mar 27 at 20:34
1
$begingroup$
@BjornRambi You might want to consider reaching out to a local university and see if any math professors would be willing to meet with you semi-regularly to hang out and chat about math. I (graduate student, not professor) met with a high schooler weekly all of last semester, and we discussed a variety of “higher” mathematics in varying degrees of formality.
$endgroup$
– Santana Afton
Mar 27 at 20:59