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Название: Fundamental Theories and Their Applications of the Calculus of Variations
Автор: Dazhong Lao, Shanshan Zhao
Издательство: Springer
Год: 2021
Формат: PDF
Страниц: 1006
Размер: 10.42 МБ
Язык: English
This book focuses on the calculus of variations, including fundamental theories and applications.
This textbook is intended for graduate and higher-level college and university students, introducing them to the basic concepts and calculation methods used in the calculus of variations. It covers the preliminaries, variational problems with fixed boundaries, sufficient conditions of extrema of functionals, problems with undetermined boundaries, variational problems of conditional extrema, variational problems in parametric forms, variational principles, direct methods for variational problems, variational principles in mechanics and their applications, and variational problems of functionals with vector, tensor and Hamiltonian operators.