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· 제목 : Calculus of Variations I (Paperback) (The Lagrangian Formalism)
· 분류 : 외국도서 > 과학/수학/생태 > 수학 > 선형/비선형 프로그래밍
· ISBN : 9783642080746
· 쪽수 : 474쪽
· 출판일 : 2010-12-04
· 분류 : 외국도서 > 과학/수학/생태 > 수학 > 선형/비선형 프로그래밍
· ISBN : 9783642080746
· 쪽수 : 474쪽
· 출판일 : 2010-12-04
목차
of Calculus of Variations I.- 1. The First Variation.- 2. Variational Problems with Subsidiary Conditions.- 3. General Variational Formulas.- 4. Second Variation, Excess Function, Convexity.- 5. Weak Minimizers and Jacobi Theory.- 6. Weierstrass Field Theory for One-Dimensional Integrals and Strong Minimizers.- Supplement. Some Facts from Differential Geometry and Analysis.- 1. Euclidean Spaces.- 2. Some Function Classes.- 3. Vector and Covector Fields. Transformation Rules.- 4. Differential Forms.- 6. Mean Curvature and Gauss Curvature.
