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










3












$begingroup$


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.










share|cite|improve this question











$endgroup$
















    3












    $begingroup$


    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.










    share|cite|improve this question











    $endgroup$














      3












      3








      3


      1



      $begingroup$


      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.










      share|cite|improve this question











      $endgroup$




      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






      share|cite|improve this question















      share|cite|improve this question













      share|cite|improve this question




      share|cite|improve this question








      edited May 27 '17 at 22:57







      Junaid Aftab

















      asked May 27 '17 at 22:45









      Junaid AftabJunaid Aftab

      672512




      672512




















          3 Answers
          3






          active

          oldest

          votes


















          2












          $begingroup$

          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"






          share|cite|improve this answer











          $endgroup$




















            0












            $begingroup$

            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).






            share|cite|improve this answer









            $endgroup$












            • $begingroup$
              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


















            0












            $begingroup$

            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






            share|cite|improve this answer









            $endgroup$













              Your Answer





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              3 Answers
              3






              active

              oldest

              votes








              3 Answers
              3






              active

              oldest

              votes









              active

              oldest

              votes






              active

              oldest

              votes









              2












              $begingroup$

              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"






              share|cite|improve this answer











              $endgroup$

















                2












                $begingroup$

                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"






                share|cite|improve this answer











                $endgroup$















                  2












                  2








                  2





                  $begingroup$

                  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"






                  share|cite|improve this answer











                  $endgroup$



                  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"







                  share|cite|improve this answer














                  share|cite|improve this answer



                  share|cite|improve this answer








                  edited May 27 '17 at 23:09

























                  answered May 27 '17 at 22:57









                  quasiquasi

                  36.2k22664




                  36.2k22664





















                      0












                      $begingroup$

                      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).






                      share|cite|improve this answer









                      $endgroup$












                      • $begingroup$
                        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















                      0












                      $begingroup$

                      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).






                      share|cite|improve this answer









                      $endgroup$












                      • $begingroup$
                        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













                      0












                      0








                      0





                      $begingroup$

                      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).






                      share|cite|improve this answer









                      $endgroup$



                      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).







                      share|cite|improve this answer












                      share|cite|improve this answer



                      share|cite|improve this answer










                      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
















                      • $begingroup$
                        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











                      0












                      $begingroup$

                      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






                      share|cite|improve this answer









                      $endgroup$

















                        0












                        $begingroup$

                        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






                        share|cite|improve this answer









                        $endgroup$















                          0












                          0








                          0





                          $begingroup$

                          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






                          share|cite|improve this answer









                          $endgroup$



                          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







                          share|cite|improve this answer












                          share|cite|improve this answer



                          share|cite|improve this answer










                          answered May 28 '17 at 14:07









                          Dave L. RenfroDave L. Renfro

                          25.3k34082




                          25.3k34082



























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