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|Material Type:||Internet resource|
|Document Type:||Book, Internet Resource|
|All Authors / Contributors:||
J Michael Steele
|ISBN:||0521837758 9780521837750 052154677X 9780521546775|
|Description:||x, 306 p. : ill. ; 24 cm.|
|Contents:||1. Starting with Cauchy; 2. The AM-GM inequality; 3. Lagrange's identity and Minkowski's conjecture; 4. On geometry and sums of squares; 5. Consequences of order; 6. Convexity - the third pillar; 7. Integral intermezzo; 8. The ladder of power means; 9. Holder's inequality; 10. Hilbert's inequality and compensating difficulties; 11. Hardy's inequality and the flop; 12. Symmetric sums; 13. Majorization and Schur convexity; 14. Cancellation and aggregation; Solutions to the exercises; Notes; References.|
|Series Title:||MAA problem books series.|
|Responsibility:||J. Michael Steele.|
'This eminently readable book will be treasured not only by students and their teachers but also by all those who seek to make sense of the elusive macrocosm of twentieth-century mathematics.'