Here is the full list of best reference books on Analytical and Geometric Dynamics.
|1. “Introduction to Robotics: Mechanics and Control” by J. J. Craig
Book Review: This book provides a stimulating and modern approach to analytical mechanics. The book presents latest advancements in the field of analytical dynamics that meets the needs of students and professionals. The book very nicely balances physics fundamentals and mathematical concepts thereby covering mechanics and dynamical systems in complete depth. The book contains numerous problems and computational models in MATLAB. The chapters included are two and three dimensional fundamental dynamics, lagrangian theory, rotating body dynamics, rigid body dynamics and stability theory.
|2. “Analytical Mechanics” by Joseph S. Torok|
|3. “Principles of Dynamics” by Donald T. Greenwood
Book Review: This book explores the principles of dynamics. The book provides an introduction to generalized forms of dalembert principles and thereby deals with their application to the systems of rigid bodies. The book also very nicely demonstrates perturbation theory and applies it to the analysis of vibrations. The book formulates equations of motion by extensively using lagrangian methods. This book is very useful for graduate and undergraduate courses in the field of dynamics and nonlinear mechanics.
|4. “Methods of Analytical Dynamics” by Leonard Meirovitch
Book Review: The book presents a balance between formalism and structure in analytical dynamics and also addresses the solution methods. The book also presents many modern applications along with the material covered in courses related to dynamics and nonlinear mechanics. The various topics covered in the book are analytical mechanics and Newtonian fundamentals, rigid body dynamics and their behavior, transformation theory, Hamilton-Jacobi equation, gyroscope theory and applications, spacecraft dynamics and celestial mechanics problems.
|5. “Geometric Mechanics and Symmetry” by D .D. Holm, T. Schmah and C. Stoica
Book Review: This book provides introduction to the geometric approach of classical mechanics and is very useful for beginning semester courses at the graduate and undergraduate level. The book fills the gap between traditional classical mechanical texts and modern mathematical treatment in the field of geometric mechanics and symmetry. The topics included in the book are smooth manifold elements, lie group theory basics, symmetry reduction of hamilton’s principle, rigid and pseudo rigid bodies, shallow water waves and many more.
|6. “New Analytic and Geometric Methods in Inverse Problems” by E Somersalo Erkki Somersalo Bingham Somersalo|
|7. “Developments and Retrospectives in Lie Theory: Geometric and Analytic Methods” by Joseph A Wolf|
|8. “Applications of Analytic and Geometric Methods to Nonlinear Differential Equations” by Clarkson|
|9. “Decay of the Fourier Transform: Analytic and Geometric Aspects” by Alex Iosevich Elijah Liflyand|
|10. “Geometric Analysis And Applications To Quantum Field Theory” by Siye Wu Peter Bouwknegt|
If any more book needs to be added to the list of best books on Analytical and Geometric Dynamics Subject, please let us know.
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