Fundamental Theories And Their Applications Of The Calculus Of Variations
Download Fundamental Theories And Their Applications Of The Calculus Of Variations PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Fundamental Theories And Their Applications Of The Calculus Of Variations book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages.
Fundamental Theories and Their Applications of the Calculus of Variations
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.
Synthetic Differential Topology
Author: Marta Bunge
language: en
Publisher: Cambridge University Press
Release Date: 2018-03-29
Represents the state of the art in the new field of synthetic differential topology.
From Falling Bodies to Radio Waves
This chronicle by a renowned physicist traces the development of scientific thought from the works of Galileo, Huygens, and Newton to discoveries by Maxwell, Boltzmann, and Gibbs. 1984 edition.