Non-Fiction Books:

Dynamical Systems and Geometric Mechanics

An Introduction
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$411.00
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Description

Introduction to Dynamical Systems and Geometric Mechanics provides a comprehensive tour of two fields that are intimately entwined: dynamical systems is the study of the behavior of physical systems that may be described by a set of nonlinear first-order ordinary differential equations in Euclidean space, whereas geometric mechanics explore similar systems that instead evolve on differentiable manifolds. The first part discusses the linearization and stability of trajectories and fixed points, invariant manifold theory, periodic orbits, Poincaré maps, Floquet theory, the Poincaré-Bendixson theorem, bifurcations, and chaos. The second part of the book begins with a self-contained chapter on differential geometry that introduces notions of manifolds, mappings, vector fields, the Jacobi-Lie bracket, and differential forms.

Author Biography:

Jared Michael Maruskin, MZ Inc., USA
Release date NZ
August 21st, 2018
Audience
  • Undergraduate
Edition
2nd ed.
Illustrations
50 Illustrations, color; 50 Illustrations, black and white
Pages
348
Dimensions
170x244x21
ISBN-13
9783110597295
Product ID
28232842

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