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A comprehensive but accessible advanced undergraduate treatment of classical mechanics, adaptable to a one or two-semester course.
This book fits courses in advanced engineering dynamics using Newton-Euler and Lagrangian approaches.
Ideal for the two-semester, undergraduate Classical Mechanics course, Intermediate Dynamics provides an active-learning, student-friendly approach to this challenging level of physics. The text begins with an optional review of introductory concepts typically covered in prerequisite courses and moves on to the topics traditionally covered in courses in intermediate mechanics. It includes historical sketches of important contributors to the field and provides footnotes to recent articles that consider the material being discussed. Within each chapter the author includes numerous accessible exercises that help students understand key material, while more rigorous end-of-chapter problems challenge students to work out problems based on concepts discussed in the chapter. Additional computer problems are offered at the end of each chapter for those who would like to explore computational physics.
The spectral theory of linear operators plays a key role in the mathematical formulation of quantum theory. This textbook provides a concise and comprehensible introduction to the spectral theory of (unbounded) self-adjoint operators and its application in quantum dynamics. Many examples and exercises are included that focus on quantum mechanics.
Complete, rigorous review of Linear Algebra, from Vector Spaces to Normal Forms Emphasis on more classical Newtonian treatment (favored by Engineers) of rigid bodies, and more modern in greater reliance on Linear Algebra to get inertia matrix and deal with machines Develops Analytical Dynamics to allow the introduction of friction
A thorough understanding of rigid body dynamics as it relates to modern mechanical and aerospace systems requires engineers to be well versed in a variety of disciplines. This book offers an all-encompassing view by interconnecting a multitude of key areas in the study of rigid body dynamics, including classical mechanics, spacecraft dynamics, and multibody dynamics. In a clear, straightforward style ideal for learners at any level, Advanced Dynamics builds a solid fundamental base by first providing an in-depth review of kinematics and basic dynamics before ultimately moving forward to tackle advanced subject areas such as rigid body and Lagrangian dynamics. In addition, Advanced Dynamics: Is the only book that bridges the gap between rigid body, multibody, and spacecraft dynamics for graduate students and specialists in mechanical and aerospace engineering Contains coverage of special applications that highlight the different aspects of dynamics and enhances understanding of advanced systems across all related disciplines Presents material using the author's own theory of differentiation in different coordinate frames, which allows for better understanding and application by students and professionals Both a refresher and a professional resource, Advanced Dynamics leads readers on a rewarding educational journey that will allow them to expand the scope of their engineering acumen as they apply a wide range of applications across many different engineering disciplines.
Discusses applications to particle accelerator and beam physics. Uses a mathematical perspective to introduce modern dynamics, both linear and nonlinear, focusing on qualitative ideas and including current computational techniques. Covers Hamiltonian dynamics, perturbation theory and chaos. Features a copious amount of examples, problems and illustrations.
Suitable for both senior-level and first-year graduate courses, this fully revised edition provides a unique and systematic treatment of engineering dynamics that covers Newton–Euler and Lagrangian approaches. New to this edition are: two completely revised chapters on the constraints on, and potential energies for, rigid bodies, and the dynamics of systems of particles and rigid bodies; clearer discussion on coordinate singularities and their relation to mass matrices and configuration manifolds; additional discussion of contravariant basis vectors and dual Euler basis vectors, as well as related works in robotics; improved coverage of navigation equations; inclusion of a 350-page solutions manual for instructors, available online; a fully updated reference list. Numerous structured examples, discussion of various applications, and exercises covering a wide range of topics are included throughout, and source code for exercises, and simulations of systems are available online.
Unlike other books on this subject, which tend to concentrate on 2-D dynamics, this text focuses on the application of Newton-Euler methods to complex, real-life 3-D dynamics problems. It is thus ideal for elective courses in intermediate dynamics.