Global Formulations Of Lagrangian And Hamiltonian Dynamics On Manifolds
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Global Formulations Of Lagrangian And Hamiltonian Dynamics On Manifolds
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Author : Taeyoung Lee
language : en
Publisher: Springer
Release Date : 2017-08-14
Global Formulations Of Lagrangian And Hamiltonian Dynamics On Manifolds written by Taeyoung Lee and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-08-14 with Mathematics categories.
This book provides an accessible introduction to the variational formulation of Lagrangian and Hamiltonian mechanics, with a novel emphasis on global descriptions of the dynamics, which is a significant conceptual departure from more traditional approaches based on the use of local coordinates on the configuration manifold. In particular, we introduce a general methodology for obtaining globally valid equations of motion on configuration manifolds that are Lie groups, homogeneous spaces, and embedded manifolds, thereby avoiding the difficulties associated with coordinate singularities. The material is presented in an approachable fashion by considering concrete configuration manifolds of increasing complexity, which then motivates and naturally leads to the more general formulation that follows. Understanding of the material is enhanced by numerous in-depth examples throughout the book, culminating in non-trivial applications involving multi-body systems. This book is written for a general audience of mathematicians, engineers, and physicists with a basic knowledge of mechanics. Some basic background in differential geometry is helpful, but not essential, as the relevant concepts are introduced in the book, thereby making the material accessible to a broad audience, and suitable for either self-study or as the basis for a graduate course in applied mathematics, engineering, or physics.
Theoretical Foundations Of Nanoscale Quantum Devices
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Author : Malin Premaratne
language : en
Publisher: Cambridge University Press
Release Date : 2021-01-07
Theoretical Foundations Of Nanoscale Quantum Devices written by Malin Premaratne and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-01-07 with Science categories.
This self-contained text describes the underlying theory and approximate quantum models of real nanodevices for nanotechnology applications.
Dynamics And Control Of Autonomous Flight
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Author : Mark W. Mueller
language : en
Publisher: Springer Nature
Release Date : 2025-08-14
Dynamics And Control Of Autonomous Flight written by Mark W. Mueller and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-08-14 with Technology & Engineering categories.
This book provides a solid foundation to the exciting world of aerial autonomy, with a focus on their rigid-body dynamics, sensing and state estimation, and low-level stabilization. It discusses low-speed, propeller-driven flight typical of Uncrewed Aerial Systems. A tensor approach to 3D modelling allows for a very general modelling approach, which is then also translated into easy-to-use equations (e.g., for coding a state estimator). Stability theory and simple control approaches are developed from first principles, and again applied to, and illustrated with, examples in flight. Concepts central to the practising aerospace engineer, such as rotation formalisms (rotation matrix, quaternions) and the dynamics of rotation are treated in depth. The book is aimed at those interested in aerial autonomy or robotics and requires only fundamental mathematical background in linear algebra and differential equations. Problems are provided throughout the text to evaluate knowledge.
Vibration Mechanics
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Author : Haiyan Hu
language : en
Publisher: Springer Nature
Release Date : 2022-02-08
Vibration Mechanics written by Haiyan Hu and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-02-08 with Technology & Engineering categories.
This book is a novel tutorial for research-oriented study of vibration mechanics. The book begins with twelve open problems from six case studies of vibration mechanics in order to guide readers in studying the entire book. Then, the book surveys both theories and methods of linear vibrations in an elementary course from a new perspective of aesthetics of science so as to assist readers to upgrade their way of learning. The successive chapters offer a theoretical frame of linear vibrations and waves, covering the models of vibration systems, the vibration analysis of discrete systems, the natural vibrations of one-dimensional structures, the natural vibrations of symmetric structures, and the waves and vibrations of one-dimensional structures. The chapters help readers solve the twelve open problems step by step during the research-oriented study. The book tries to arouse the interest of graduate students and professionals, who have learnt an elementary course of vibration mechanics of two credits, to conduct the research-oriented study and achieve a helical upgrade understanding to vibration mechanics.
Physics Of Data Science And Machine Learning
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Author : Ijaz A. Rauf
language : en
Publisher: CRC Press
Release Date : 2021-11-28
Physics Of Data Science And Machine Learning written by Ijaz A. Rauf and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-11-28 with Computers categories.
Physics of Data Science and Machine Learning links fundamental concepts of physics to data science, machine learning, and artificial intelligence for physicists looking to integrate these techniques into their work. This book is written explicitly for physicists, marrying quantum and statistical mechanics with modern data mining, data science, and machine learning. It also explains how to integrate these techniques into the design of experiments, while exploring neural networks and machine learning, building on fundamental concepts of statistical and quantum mechanics. This book is a self-learning tool for physicists looking to learn how to utilize data science and machine learning in their research. It will also be of interest to computer scientists and applied mathematicians, alongside graduate students looking to understand the basic concepts and foundations of data science, machine learning, and artificial intelligence. Although specifically written for physicists, it will also help provide non-physicists with an opportunity to understand the fundamental concepts from a physics perspective to aid in the development of new and innovative machine learning and artificial intelligence tools. Key Features: Introduces the design of experiments and digital twin concepts in simple lay terms for physicists to understand, adopt, and adapt. Free from endless derivations; instead, equations are presented and it is explained strategically why it is imperative to use them and how they will help in the task at hand. Illustrations and simple explanations help readers visualize and absorb the difficult-to-understand concepts. Ijaz A. Rauf is an adjunct professor at the School of Graduate Studies, York University, Toronto, Canada. He is also an associate researcher at Ryerson University, Toronto, Canada and president of the Eminent-Tech Corporation, Bradford, ON, Canada.
New Trends In Mechanism And Machine Science
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Author : Giulio Rosati
language : en
Publisher: Springer Nature
Release Date : 2024-08-09
New Trends In Mechanism And Machine Science written by Giulio Rosati and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-08-09 with Technology & Engineering categories.
This book gathers the proceedings of the 9th European Conference on Mechanism Science (EuCoMeS), which was held in Padua, Italy, on September 18–20, 2024, under the patronage of IFToMM. It presents the latest research and industrial applications in the areas of mechanism science, robotics, and dynamics. The contributions cover such topics as computational kinematics, control issues in mechanical systems, mechanisms for medical rehabilitation, mechanisms for minimally invasive techniques, cable robots, design issues for mechanisms and robots, and the teaching and history of mechanisms. Written by leading researchers and engineers and selected by means of a rigorous international peer-review process, the papers highlight numerous exciting ideas that will spur novel research directions and foster multidisciplinary collaborations.
Classical Mechanics With Mathematica
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Author : Antonio Romano
language : en
Publisher: Springer
Release Date : 2018-05-29
Classical Mechanics With Mathematica written by Antonio Romano and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-05-29 with Science categories.
This textbook takes a broad yet thorough approach to mechanics, aimed at bridging the gap between classical analytic and modern differential geometric approaches to the subject. Developed by the authors from over 30 years of teaching experience, the presentation is designed to give students an overview of the many different models used through the history of the field—from Newton to Hamilton—while also painting a clear picture of the most modern developments. The text is organized into two parts. The first focuses on developing the mathematical framework of linear algebra and differential geometry necessary for the remainder of the book. Topics covered include tensor algebra, Euclidean and symplectic vector spaces, differential manifolds, and absolute differential calculus. The second part of the book applies these topics to kinematics, rigid body dynamics, Lagrangian and Hamiltonian dynamics, Hamilton–Jacobi theory, completely integrable systems, statistical mechanics of equilibrium, and impulsive dynamics, among others. This new edition has been completely revised and updated and now includes almost 200 exercises, as well as new chapters on celestial mechanics, one-dimensional continuous systems, and variational calculus with applications. Several Mathematica® notebooks are available to download that will further aid students in their understanding of some of the more difficult material. Unique in its scope of coverage and method of approach, Classical Mechanics with Mathematica® will be useful resource for graduate students and advanced undergraduates in applied mathematics and physics who hope to gain a deeper understanding of mechanics.
High Energy Physics Index
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Author :
language : en
Publisher:
Release Date : 1988
High Energy Physics Index written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Nuclear physics categories.
Trends In Applications Of Mathematics To Mechanics
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Author : Gerard Iooss
language : en
Publisher: CRC Press
Release Date : 1999-10-22
Trends In Applications Of Mathematics To Mechanics written by Gerard Iooss and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-10-22 with Mathematics categories.
The International Society for the Interaction of Mechanics and Mathematics has a long-standing and respected tradition of hosting symposia that provide a forum for disseminating new developments and methods. Trends in Applications of Mathematics to Mechanics represents the proceedings of the eleventh such symposium, held at the University of Nice in May 1998. Comprising invited lectures and refereed papers, this volume includes recent results that open perspectives on fields in mechanics and their methodological counterparts in mathematics. It also surveys important advances in the areas where mathematics and mechanics interact. The applications addressed include:
Global Analysis And Applied Mathematics
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Author : Kenan Tas
language : en
Publisher: American Institute of Physics
Release Date : 2004-10-29
Global Analysis And Applied Mathematics written by Kenan Tas and has been published by American Institute of Physics this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-10-29 with Mathematics categories.
These proceedings are divided into parts; global analysis and applications, and applied mathematics. Part one contains plenary lectures and other contributions devoted to current research in analysis on manifolds, differential equations, and mathematical physics. Part two conatins contributions on applications of differential and difference equations in different fields, and selected topics from theoretical physics.