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Fundamental Theories and Their Applications of the Calculus of Variations free ebook download

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Mathematics

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Author(s):	Dazhong Lao

Date:	2021	Format:	pdf,epub	Language:	English	ISBN/ASIN:	9811560692
Pages:	1012	OCR:		Quality:		ISBN13:
Uploader:	eternal	Upload Date:	4/27/2024 5:21:27 AM

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9811560692 pdf,epub
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. Many of the contributions are based on the authors’ research, addressing topics such as the extension of the connotation of the Hilbert adjoint operator, definitions of the other three kinds of adjoint operators, the extremum function theorem of the complete functional, unified Euler equations in variational methods, variational theories of functionals with vectors, modulus of vectors, arbitrary order tensors, Hamiltonian operators and Hamiltonian operator strings, reconciling the Euler equations and the natural boundary conditions, and the application range of variational methods. The book is also a valuable reference resource for teachers as well as science and technology professionals.

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3256967	Book	https://nitroflare.com/view/01A74D94667F...		90.00	eternal

Tags: Applications Calculus Fundamental Theories Variations

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Fundamental Theories and Their Applications of the Calculus of Variations free ebook download

Category: Mathematics

Description: Click to see full description

Category:
Mathematics