SKU/Artículo: AMZ-B0DM9JWS13
Mastering Lagrangian and Hamiltonian Dynamics With Python (Golden Dawn Engineering)
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Paperback
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En stock
En stock
Peso con empaque:
0.62 kg
0.62 kg
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Sí
Sí
Condición
Nuevo
Nuevo
Producto de:
Amazon
Amazon
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USA
USA
Sobre este producto
- Unlock the intricacies of classical mechanics with a comprehensive guide that bridges theory and practical application. Dive into the depths of Lagrangian and Hamiltonian dynamics, where each chapter is enhanced with Python code to provide hands-on experience and deepen your understanding.Key Features:Comprehensive coverage of foundational principles and advanced topics in classical mechanics.Integration of Python code to illustrate concepts and offer practical exercises.Detailed explorations of both Lagrangian and Hamiltonian formulations, bridging classical mechanics to modern physics.Suitable for students, researchers, and professionals seeking to enhance their understanding of dynamical systems.Book Description:Embark on a transformative journey through classical mechanics with this extensive guide to Lagrangian and Hamiltonian dynamics. Perfect for both beginners and seasoned physicists, this book delves deeply into the principles governing dynamical systems and illuminates each concept with accompanying Python scripts. From the essence of Newton's laws to the complexity of symplectic geometry and Hamiltonian chaos, you'll discover a rich tapestry of knowledge woven through clear explanations and practical coding exercises. Whether you're studying simple oscillatory motion or the subtleties of non-Euclidean frames, this guide will equip you with the insights and tools necessary to master the landscape of classical mechanics.What You Will Learn:Understand Newton's Second Law of Motion and its foundational role in classical mechanics.Explore D'Alembert's Principle as a method to reformulate Newtonian mechanics.Apply the Principle of Virtual Work in analyzing mechanical systems.Discover the Lagrangian Function and its critical role in mechanics.Derive and implement the Euler-Lagrange Equation in practical problems.Grasp Hamilton's Principle and its connection with the action integral.Learn how symmetrical properties give rise to Conservation Laws.Delve into Noether's Theorem and its far-reaching applications.Utilize the Legendre Transformation in transitioning to Hamiltonian Mechanics.Define the Hamiltonian Function and explore its uses.Derive Hamilton's Equations of Motion and apply them in various contexts.Uncover the benefits of Canonical Transformations in simplifying systems.Utilize Poisson Brackets in analyzing properties of Hamiltonian systems.Understand Liouville's Theorem and the conservation of phase space volume.Solve mechanical problems using the Hamilton-Jacobi Equation.Incorporate Action-Angle Variables in analyzing integrable systems.Evaluate small oscillations and identify Normal Modes within systems.Apply Routhian Reduction in systems with cyclic coordinates for simplification.Use Lagrange Multipliers to manage constraints in mechanical systems.Address Non-Holonomic Constraints in dynamic systems.Analyze the behavior of Damped Harmonic Oscillators using advanced methods.Investigate Driven Harmonic Oscillators within the Lagrangian framework.Master the Calculus of Variations and its applications in mechanics.Rediscover historical insights with Maupertuis' Principle of Least Action.Tackle Central Force Problems using advanced dynamic techniques.Solve the Kepler Problem by applying modern dynamical methods.Conduct Scattering Analysis under Central Potentials with precision.Analyze Rigid Body Dynamics through the Euler-Lagrange and Hamiltonian systems.Derive and apply Euler's Equations for complex rigid body rotations.
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AR$103.813
49% OFF
AR$53.241
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