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Calculus of variations /I M Gelʹfand; S V Fomin; Richard A Silverman
Mineola, N.Y. : Dover Publications, 2000.
232 p. : illustrations ; 22 cm.
Ký hiệu phân loại (DDC): 515.64
Based on a series of lectures given by I. M. Gelfand at Moscow State University, this book actually goes considerably beyond the material presented in the lectures. The aim is to give a treatment of the elements of the calculus of variations in a form both easily understandable and sufficiently modern. Considerable attention is devoted to physical applications of variational methods, e.g., canonical equations, variational principles of mechanics, and conservation laws.
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Methods of mathematical modelling : continuous systems and differential equations / Thomas Witelski; Mark Bowen
New York : Springer, 2015
309 pages : illustrations
Ký hiệu phân loại (DDC): 511.8
This book presents mathematical modelling and the integrated process of formulating sets of equations to describe real-world problems. It describes methods for obtaining solutions of challenging differential equations stemming from problems in areas such as chemical reactions, population dynamics, mechanical systems, and fluid mechanics. Chapters 1 to 4 cover essential topics in ordinary differential equations
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