The Calculus Of Variations

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E-Book Overview

Suitable for advanced undergraduate and graduate students of mathematics, physics, or engineering, this introduction to the calculus of variations focuses on variational problems involving one independent variable. It also discusses more advanced topics such as the inverse problem, eigenvalue problems, and Noether’s theorem. The text includes numerous examples along with problems to help students consolidate the material.

E-Book Content

The (alculus ofVariations Bruce van Brunt U niversitext EditorialBoard lNo4hAmerical: S.Axler F.W .Gehring K.A.Ribet SPrin:er Ncw Fork Berlin H eidelberg Hong Kong London M ilan Paris Tokyo Thispage intentionally Jc.# blank B ruce van B runt T he C alculus of V a riatio ns Wi th 24 Fi gures .T#4* ' SPringer Bruce van Brunt lnstitute ofFundamentalSciences Palmerston Nort . h Campus Private Bag 11222 M assey University Palmerston Nort . h 5301 New Zealand b. [email protected] assey. ac. nz EditorialBoard tA%rf/zAmerical: S.Axler M athem aticsDepartg nent San Francisco State University San Francisco,CA 94132 USA [email protected] sfsu. edu F.W .Gehring M athem aticsDepartment EastHall University ofMichigan Ann Arbor,M 148109-1109 USA [email protected] ath. lsa.urnich. edu K. A .Ribet M athem aticsDepartg nent University ofCalifornia,Berkeley Berkeley,CA 94720-3840 USA [email protected] lxrkeley.edu M athemati