Books on Inequalities and Geometry The Next CEO of Stack OverflowReference books for highschool Algebra and Geometry?Short and elegant introduction to Sobolev spacesMathematics Article Collection Books for Talented High School StudentsHow to learn inequalities and become good at proving them?Logic and number theory booksProblem Books with Problems less “intense” than Putnam ProblemsGood books for relearning high school math from the ground up with complete mathematical rigor and heavy focus on proofsGood books for relearning high school geometry from the ground up with complete mathematical rigor and heavy focus on proofsBook suggestions for extensive self studyintroducing graphical books
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Books on Inequalities and Geometry
The Next CEO of Stack OverflowReference books for highschool Algebra and Geometry?Short and elegant introduction to Sobolev spacesMathematics Article Collection Books for Talented High School StudentsHow to learn inequalities and become good at proving them?Logic and number theory booksProblem Books with Problems less “intense” than Putnam ProblemsGood books for relearning high school math from the ground up with complete mathematical rigor and heavy focus on proofsGood books for relearning high school geometry from the ground up with complete mathematical rigor and heavy focus on proofsBook suggestions for extensive self studyintroducing graphical books
$begingroup$
I'm looking for suggestions of books on inequalities and geometry.
I'm specifically asking this because I'm not looking for a book that is suited for students preparing for mathematics competition. I won't mind the books having a good bunch of approachable and challenging questions, but I'm looking for a book for personal edification, and reviewing and building on the basics which are usually taught in a not-so-rigorous and complete manner in high school.
reference-request
$endgroup$
add a comment |
$begingroup$
I'm looking for suggestions of books on inequalities and geometry.
I'm specifically asking this because I'm not looking for a book that is suited for students preparing for mathematics competition. I won't mind the books having a good bunch of approachable and challenging questions, but I'm looking for a book for personal edification, and reviewing and building on the basics which are usually taught in a not-so-rigorous and complete manner in high school.
reference-request
$endgroup$
add a comment |
$begingroup$
I'm looking for suggestions of books on inequalities and geometry.
I'm specifically asking this because I'm not looking for a book that is suited for students preparing for mathematics competition. I won't mind the books having a good bunch of approachable and challenging questions, but I'm looking for a book for personal edification, and reviewing and building on the basics which are usually taught in a not-so-rigorous and complete manner in high school.
reference-request
$endgroup$
I'm looking for suggestions of books on inequalities and geometry.
I'm specifically asking this because I'm not looking for a book that is suited for students preparing for mathematics competition. I won't mind the books having a good bunch of approachable and challenging questions, but I'm looking for a book for personal edification, and reviewing and building on the basics which are usually taught in a not-so-rigorous and complete manner in high school.
reference-request
reference-request
edited May 27 '17 at 22:57
Junaid Aftab
asked May 27 '17 at 22:45
Junaid AftabJunaid Aftab
672512
672512
add a comment |
add a comment |
3 Answers
3
active
oldest
votes
$begingroup$
This one is oriented towards competition level Geometry:
$qquad$Kedlaya -- Geometry Unbound (2006)
Moreover, the author made it freely available:
$qquad$http://kskedlaya.org/geometryunbound/gu-060118.pdf
Here's one from AoPS, also free:
[Members of Mathlinks] -- Geometric Inequalities Marathon 1 - The First 100 Problems and Solutions (2011)
https://www.google.com/url?sa=t&rct=j&q=&esrc=s&source=web&cd=1&ved=0ahUKEwiQ45GGlZHUAhUB4yYKHSBNDbEQFggxMAA&url=http%3A%2F%2Fkskedlaya.org%2Fgeometryunbound%2Fgu-060118.pdf&usg=AFQjCNExuDbA2Tjx1IcoVd4gCKdWtbT9ww&sig2=X_H11SC0dz5HvBHHiynQQQ&cad=rja
It downloads to a file called "Geometry", with no extension, so you may need to rename it so that the extension is ".pdf"
$endgroup$
add a comment |
$begingroup$
A great and insightful book on inequalities of various type is the book:
Inequalities
of G. H. Hardy, J. E. Littlewood and G. Pólya.
I especially like it as it explains also the underlying mechanism behind inequalities. It gives also a great overview of all types of means inequalities as well as their generalizations (in many different directions).
$endgroup$
$begingroup$
Yes, I was looking at this book just yesterday. The book seems great, but I was looking for another book before covering Hardy's book. Also, I think it's one of the books that should be covered if one has some time on one's hand. Like Hardy's other textbooks, the book seems to be a huge exercise. Any other suggestions?
$endgroup$
– Junaid Aftab
May 27 '17 at 23:26
add a comment |
$begingroup$
Surprisingly not yet mentioned is Volume #4 in the well known New Mathematical Library series:
Geometric Inequalities by Nicholas D. Kazarinoff (originally appeared in 1961) see here also
Also in this series (Volume #3) is
An Introduction to Inequalities by Edwin F. Beckenbach and Richard E. Bellman (originally appeared in 1961) see here also
$endgroup$
add a comment |
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3 Answers
3
active
oldest
votes
3 Answers
3
active
oldest
votes
active
oldest
votes
active
oldest
votes
$begingroup$
This one is oriented towards competition level Geometry:
$qquad$Kedlaya -- Geometry Unbound (2006)
Moreover, the author made it freely available:
$qquad$http://kskedlaya.org/geometryunbound/gu-060118.pdf
Here's one from AoPS, also free:
[Members of Mathlinks] -- Geometric Inequalities Marathon 1 - The First 100 Problems and Solutions (2011)
https://www.google.com/url?sa=t&rct=j&q=&esrc=s&source=web&cd=1&ved=0ahUKEwiQ45GGlZHUAhUB4yYKHSBNDbEQFggxMAA&url=http%3A%2F%2Fkskedlaya.org%2Fgeometryunbound%2Fgu-060118.pdf&usg=AFQjCNExuDbA2Tjx1IcoVd4gCKdWtbT9ww&sig2=X_H11SC0dz5HvBHHiynQQQ&cad=rja
It downloads to a file called "Geometry", with no extension, so you may need to rename it so that the extension is ".pdf"
$endgroup$
add a comment |
$begingroup$
This one is oriented towards competition level Geometry:
$qquad$Kedlaya -- Geometry Unbound (2006)
Moreover, the author made it freely available:
$qquad$http://kskedlaya.org/geometryunbound/gu-060118.pdf
Here's one from AoPS, also free:
[Members of Mathlinks] -- Geometric Inequalities Marathon 1 - The First 100 Problems and Solutions (2011)
https://www.google.com/url?sa=t&rct=j&q=&esrc=s&source=web&cd=1&ved=0ahUKEwiQ45GGlZHUAhUB4yYKHSBNDbEQFggxMAA&url=http%3A%2F%2Fkskedlaya.org%2Fgeometryunbound%2Fgu-060118.pdf&usg=AFQjCNExuDbA2Tjx1IcoVd4gCKdWtbT9ww&sig2=X_H11SC0dz5HvBHHiynQQQ&cad=rja
It downloads to a file called "Geometry", with no extension, so you may need to rename it so that the extension is ".pdf"
$endgroup$
add a comment |
$begingroup$
This one is oriented towards competition level Geometry:
$qquad$Kedlaya -- Geometry Unbound (2006)
Moreover, the author made it freely available:
$qquad$http://kskedlaya.org/geometryunbound/gu-060118.pdf
Here's one from AoPS, also free:
[Members of Mathlinks] -- Geometric Inequalities Marathon 1 - The First 100 Problems and Solutions (2011)
https://www.google.com/url?sa=t&rct=j&q=&esrc=s&source=web&cd=1&ved=0ahUKEwiQ45GGlZHUAhUB4yYKHSBNDbEQFggxMAA&url=http%3A%2F%2Fkskedlaya.org%2Fgeometryunbound%2Fgu-060118.pdf&usg=AFQjCNExuDbA2Tjx1IcoVd4gCKdWtbT9ww&sig2=X_H11SC0dz5HvBHHiynQQQ&cad=rja
It downloads to a file called "Geometry", with no extension, so you may need to rename it so that the extension is ".pdf"
$endgroup$
This one is oriented towards competition level Geometry:
$qquad$Kedlaya -- Geometry Unbound (2006)
Moreover, the author made it freely available:
$qquad$http://kskedlaya.org/geometryunbound/gu-060118.pdf
Here's one from AoPS, also free:
[Members of Mathlinks] -- Geometric Inequalities Marathon 1 - The First 100 Problems and Solutions (2011)
https://www.google.com/url?sa=t&rct=j&q=&esrc=s&source=web&cd=1&ved=0ahUKEwiQ45GGlZHUAhUB4yYKHSBNDbEQFggxMAA&url=http%3A%2F%2Fkskedlaya.org%2Fgeometryunbound%2Fgu-060118.pdf&usg=AFQjCNExuDbA2Tjx1IcoVd4gCKdWtbT9ww&sig2=X_H11SC0dz5HvBHHiynQQQ&cad=rja
It downloads to a file called "Geometry", with no extension, so you may need to rename it so that the extension is ".pdf"
edited May 27 '17 at 23:09
answered May 27 '17 at 22:57
quasiquasi
36.2k22664
36.2k22664
add a comment |
add a comment |
$begingroup$
A great and insightful book on inequalities of various type is the book:
Inequalities
of G. H. Hardy, J. E. Littlewood and G. Pólya.
I especially like it as it explains also the underlying mechanism behind inequalities. It gives also a great overview of all types of means inequalities as well as their generalizations (in many different directions).
$endgroup$
$begingroup$
Yes, I was looking at this book just yesterday. The book seems great, but I was looking for another book before covering Hardy's book. Also, I think it's one of the books that should be covered if one has some time on one's hand. Like Hardy's other textbooks, the book seems to be a huge exercise. Any other suggestions?
$endgroup$
– Junaid Aftab
May 27 '17 at 23:26
add a comment |
$begingroup$
A great and insightful book on inequalities of various type is the book:
Inequalities
of G. H. Hardy, J. E. Littlewood and G. Pólya.
I especially like it as it explains also the underlying mechanism behind inequalities. It gives also a great overview of all types of means inequalities as well as their generalizations (in many different directions).
$endgroup$
$begingroup$
Yes, I was looking at this book just yesterday. The book seems great, but I was looking for another book before covering Hardy's book. Also, I think it's one of the books that should be covered if one has some time on one's hand. Like Hardy's other textbooks, the book seems to be a huge exercise. Any other suggestions?
$endgroup$
– Junaid Aftab
May 27 '17 at 23:26
add a comment |
$begingroup$
A great and insightful book on inequalities of various type is the book:
Inequalities
of G. H. Hardy, J. E. Littlewood and G. Pólya.
I especially like it as it explains also the underlying mechanism behind inequalities. It gives also a great overview of all types of means inequalities as well as their generalizations (in many different directions).
$endgroup$
A great and insightful book on inequalities of various type is the book:
Inequalities
of G. H. Hardy, J. E. Littlewood and G. Pólya.
I especially like it as it explains also the underlying mechanism behind inequalities. It gives also a great overview of all types of means inequalities as well as their generalizations (in many different directions).
answered May 27 '17 at 23:17
SurbSurb
38.4k94478
38.4k94478
$begingroup$
Yes, I was looking at this book just yesterday. The book seems great, but I was looking for another book before covering Hardy's book. Also, I think it's one of the books that should be covered if one has some time on one's hand. Like Hardy's other textbooks, the book seems to be a huge exercise. Any other suggestions?
$endgroup$
– Junaid Aftab
May 27 '17 at 23:26
add a comment |
$begingroup$
Yes, I was looking at this book just yesterday. The book seems great, but I was looking for another book before covering Hardy's book. Also, I think it's one of the books that should be covered if one has some time on one's hand. Like Hardy's other textbooks, the book seems to be a huge exercise. Any other suggestions?
$endgroup$
– Junaid Aftab
May 27 '17 at 23:26
$begingroup$
Yes, I was looking at this book just yesterday. The book seems great, but I was looking for another book before covering Hardy's book. Also, I think it's one of the books that should be covered if one has some time on one's hand. Like Hardy's other textbooks, the book seems to be a huge exercise. Any other suggestions?
$endgroup$
– Junaid Aftab
May 27 '17 at 23:26
$begingroup$
Yes, I was looking at this book just yesterday. The book seems great, but I was looking for another book before covering Hardy's book. Also, I think it's one of the books that should be covered if one has some time on one's hand. Like Hardy's other textbooks, the book seems to be a huge exercise. Any other suggestions?
$endgroup$
– Junaid Aftab
May 27 '17 at 23:26
add a comment |
$begingroup$
Surprisingly not yet mentioned is Volume #4 in the well known New Mathematical Library series:
Geometric Inequalities by Nicholas D. Kazarinoff (originally appeared in 1961) see here also
Also in this series (Volume #3) is
An Introduction to Inequalities by Edwin F. Beckenbach and Richard E. Bellman (originally appeared in 1961) see here also
$endgroup$
add a comment |
$begingroup$
Surprisingly not yet mentioned is Volume #4 in the well known New Mathematical Library series:
Geometric Inequalities by Nicholas D. Kazarinoff (originally appeared in 1961) see here also
Also in this series (Volume #3) is
An Introduction to Inequalities by Edwin F. Beckenbach and Richard E. Bellman (originally appeared in 1961) see here also
$endgroup$
add a comment |
$begingroup$
Surprisingly not yet mentioned is Volume #4 in the well known New Mathematical Library series:
Geometric Inequalities by Nicholas D. Kazarinoff (originally appeared in 1961) see here also
Also in this series (Volume #3) is
An Introduction to Inequalities by Edwin F. Beckenbach and Richard E. Bellman (originally appeared in 1961) see here also
$endgroup$
Surprisingly not yet mentioned is Volume #4 in the well known New Mathematical Library series:
Geometric Inequalities by Nicholas D. Kazarinoff (originally appeared in 1961) see here also
Also in this series (Volume #3) is
An Introduction to Inequalities by Edwin F. Beckenbach and Richard E. Bellman (originally appeared in 1961) see here also
answered May 28 '17 at 14:07
Dave L. RenfroDave L. Renfro
25.3k34082
25.3k34082
add a comment |
add a comment |
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