앳킨스 맥그로힐 Carey & Atkins 캐리 & 유기화학 6판 솔루션 ( (Mc Graw Hill))

CALCULUS OF VARIATIONS MA 4311 LECTURE NOTES
I. B. Russak Department of Mathematics Naval Postgraduate School Code MA/Ru Monterey, California 93943 July 9, 2002

c 1996 - Professor I. B. Russak

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Contents
1 Functions of n Variables 1.1 Unconstrained Minimum . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1.2 Constrained Minimization . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 Examples, Notation 2.1 Notation & Conventions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2.2 Shortest Distances . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 First Results 3.1 Two Important Auxiliary Formulas: . . . . . . . . . . . . . . . . . . . . . . . 3.2 Two Important Auxiliary Formulas in the General Case . . . . . . . . . . . . 4 Variable End-Point Problems 4.1 The General Problem . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4.2 Appendix . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 Higher Dim