Fundamental Theories and Their Applications of the Calculus of Variations (Paperback, 1st ed. 2021)

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.

General

Imprint:	Springer Verlag, Singapore
Country of origin:	Singapore
Release date:	September 2021
First published:	2021
Authors:	Dazhong Lao • Shanshan Zhao
Dimensions:	235 x 155mm (L x W)
Format:	Paperback
Pages:	992
Edition:	1st ed. 2021
ISBN-13:	978-981-15-6072-9
Languages:	English
Subtitles:	Chinese
Categories:	Books > Science & Mathematics > Mathematics > Applied mathematics > Mathematics for scientists & engineers Books > Professional & Technical > Mechanical engineering & materials > Mechanical engineering > General Books > Professional & Technical > Electronics & communications engineering > Electronics engineering > Electronic devices & materials > General Books > Professional & Technical > Electronics & communications engineering > Electronics engineering > Automatic control engineering > General
LSN:	981-15-6072-2
Barcode:	9789811560729

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