Editorial Boar d Davide P . Cervon e Robi n Forma n Daniel L . Gorof f Bra d Osgoo d Carl Pomeranc e (Chair ) Cover ar t provide d b y Matthia s Weber . Use d wit h permission . 2000 Mathematics Subject Classification. Primar y 49-01 . For additiona l informatio n an d update s o n thi s book , visi t w w w . a m s . o r g / b o o k p a g e s / s t m l - 2 6 Library o f Congres s Cataloging-in-Publicatio n Dat a Six theme s o n variatio n / Steve n J . Cox.. . [e t al. ] Robert M . Hardt , editor , p. cm . (Studen t mathematica l librar y v . 26 ) Includes bibliographica l references . ISBN 0-8218-3720- 6 (alk . paper ) 1. Calculu s o f variations. I . Cox , Steve n J . (Steve n James) , 1960 - II . Hardt , R. (Robert) , 1945 - III . Series . QA315.S59 200 4 515'.64—dc22 2004059479 Copying an d reprinting . Individua l reader s o f thi s publication , an d nonprofi t libraries actin g fo r them , ar e permitte d t o mak e fai r us e o f th e material , suc h a s t o copy a chapte r fo r us e i n teachin g o r research . Permissio n i s grante d t o quot e brie f passages fro m thi s publicatio n i n reviews , provide d th e customar y acknowledgmen t o f the sourc e i s given . Republication, systemati c copying , o r multipl e reproductio n o f an y materia l i n thi s publication i s permitte d onl y unde r licens e fro m th e America n Mathematica l Society . Requests fo r suc h permissio n shoul d b e addresse d t o th e Acquisition s Department , American Mathematica l Society , 20 1 Charle s Street , Providence , Rhod e Islan d 02904 - 2294, USA . Request s ca n als o b e mad e b y e-mai l t o reprint-permission@ams.org . © 200 4 Rober t Hardt . Al l right s reserved . Chapters copyrighte d individuall y b y th e authors . Printed i n th e Unite d State s o f America . @ Th e pape r use d i n thi s boo k i s acid-fre e an d fall s withi n th e guideline s established t o ensur e permanenc e an d durability . Visit th e AM S hom e pag e a t http://www.ams.org / 10 9 8 7 6 5 4 3 2 1 0 9 0 8 0 7
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