Modern Mathematics And Mechanics
Download Modern Mathematics And Mechanics PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Modern Mathematics And Mechanics 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.
Modern Mathematics and Mechanics
In this book international expert authors provide solutions for modern fundamental problems including the complexity of computing of critical points for set-valued mappings, the behaviour of solutions of ordinary differential equations, partial differential equations and difference equations, or the development of an abstract theory of global attractors for multi-valued impulsive dynamical systems. These abstract mathematical approaches are applied to problem-solving in solid mechanics, hydro- and aerodynamics, optimization, decision making theory and control theory. This volume is therefore relevant to mathematicians as well as engineers working at the interface of these fields.
Mathematical Methods of Classical Mechanics
Author: V.I. Arnol'd
language: en
Publisher: Springer Science & Business Media
Release Date: 2013-04-09
In this text, the author constructs the mathematical apparatus of classical mechanics from the beginning, examining all the basic problems in dynamics, including the theory of oscillations, the theory of rigid body motion, and the Hamiltonian formalism. This modern approch, based on the theory of the geometry of manifolds, distinguishes iteself from the traditional approach of standard textbooks. Geometrical considerations are emphasized throughout and include phase spaces and flows, vector fields, and Lie groups. The work includes a detailed discussion of qualitative methods of the theory of dynamical systems and of asymptotic methods like perturbation techniques, averaging, and adiabatic invariance.
A Course in Modern Mathematical Physics
Author: Peter Szekeres
language: en
Publisher: Cambridge University Press
Release Date: 2004-12-16
This textbook, first published in 2004, provides an introduction to the major mathematical structures used in physics today.