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  • Lagrangian and Hamiltonian Dynamics
    Lagrangian and Hamiltonian Dynamics

    An introductory textbook exploring the subject of Lagrangian and Hamiltonian dynamics, with a relaxed and self-contained setting.Lagrangian and Hamiltonian dynamics is the continuation of Newton's classical physics into new formalisms, each highlighting novel aspects of mechanics that gradually build in complexity to form the basis for almost all of theoretical physics.Lagrangian and Hamiltonian dynamics also acts as a gateway to more abstract concepts routed in differential geometry and field theories and can be used to introduce these subject areas to newcomers. Journeying in a self-contained manner from the very basics, through the fundamentals and onwards to the cutting edge of the subject, along the way the reader is supported by all the necessary background mathematics, fully worked examples, thoughtful and vibrant illustrations as well as an informal narrative and numerous fresh, modern and inter-disciplinary applications. The book contains some unusual topics for a classical mechanics textbook.Most notable examples include the 'classical wavefunction', Koopman-von Neumann theory, classical density functional theories, the 'vakonomic' variational principle for non-holonomic constraints, the Gibbs-Appell equations, classical path integrals, Nambu brackets and the full framing of mechanics in the language of differential geometry.

    Price: 41.49 £ | Shipping*: 0.00 £
  • Schaum's Outline of Lagrangian Dynamics
    Schaum's Outline of Lagrangian Dynamics

    This book includes 275 solved problems.

    Price: 29.99 £ | Shipping*: 0.00 £
  • Lectures on Lagrangian Torus Fibrations
    Lectures on Lagrangian Torus Fibrations

    Symington's almost toric fibrations have played a central role in symplectic geometry over the past decade, from Vianna's discovery of exotic Lagrangian tori to recent work on Fibonacci staircases.Four-dimensional spaces are of relevance in Hamiltonian dynamics, algebraic geometry, and mathematical string theory, and these fibrations encode the geometry of a symplectic 4-manifold in a simple 2-dimensional diagram.This text is a guide to interpreting these diagrams, aimed at graduate students and researchers in geometry and topology.First the theory is developed, and then studied in many examples, including fillings of lens spaces, resolutions of cusp singularities, non-toric blow-ups, and Vianna tori.In addition to the many examples, students will appreciate the exercises with full solutions throughout the text.The appendices explore select topics in more depth, including tropical Lagrangians and Markov triples, with a final appendix listing open problems.Prerequisites include familiarity with algebraic topology and differential geometry.

    Price: 29.99 £ | Shipping*: 0.00 £
  • Kunneth Geometry : Symplectic Manifolds and their Lagrangian Foliations
    Kunneth Geometry : Symplectic Manifolds and their Lagrangian Foliations

    This clear and elegant text introduces Künneth, or bi-Lagrangian, geometry from the foundations up, beginning with a rapid introduction to symplectic geometry at a level suitable for undergraduate students.Unlike other books on this topic, it includes a systematic development of the foundations of Lagrangian foliations. The latter half of the text discusses Künneth geometry from the point of view of basic differential topology, featuring both new expositions of standard material and new material that has not previously appeared in book form.This subject, which has many interesting uses and applications in physics, is developed ab initio, without assuming any previous knowledge of pseudo-Riemannian or para-complex geometry.This book will serve both as a reference work for researchers, and as an invitation for graduate students to explore this field, with open problems included as inspiration for future research.

    Price: 29.99 £ | Shipping*: 0.00 £
  • Which fashion brands are available in New Style Boutique?

    In New Style Boutique, players can access a variety of real-life fashion brands such as Gucci, Prada, Marc Jacobs, and Vivienne Westwood. These brands are featured in the game as part of the virtual fashion world, allowing players to style their in-game clients with clothing and accessories from these well-known designers. The inclusion of these brands adds a sense of realism and authenticity to the game, giving players the opportunity to experiment with different styles and create unique looks using high-end fashion items.

  • What is the Lagrangian function of a particle in an electromagnetic field?

    The Lagrangian function of a particle in an electromagnetic field is given by the difference between the kinetic energy of the particle and the potential energy due to the electromagnetic field. Mathematically, it can be expressed as L = T - V, where T is the kinetic energy of the particle and V is the potential energy due to the electromagnetic field. This Lagrangian function is used in the Lagrangian formalism of classical mechanics to derive the equations of motion for the particle in the electromagnetic field.

  • What is the Lagrangian function for a rope hanging over a table edge?

    The Lagrangian function for a rope hanging over a table edge can be expressed as the difference between the kinetic and potential energies of the system. The kinetic energy term includes the translational and rotational motion of the rope, while the potential energy term accounts for the gravitational potential energy of the rope hanging over the edge of the table. By minimizing the Lagrangian function with respect to the relevant variables, one can derive the equations of motion for the system, describing the dynamics of the rope as it hangs over the table edge.

  • What is the difference between the Lagrangian formalism and the conservation of energy principle?

    The Lagrangian formalism is a mathematical framework used to describe the dynamics of a system by defining a function called the Lagrangian, which encapsulates the system's dynamics. It is a more general approach compared to the conservation of energy principle, as it can be used to derive the equations of motion for systems with complex constraints and forces. On the other hand, the conservation of energy principle states that the total energy of an isolated system remains constant over time, which is a specific application of the Lagrangian formalism for systems where energy is conserved. In summary, the Lagrangian formalism is a broader mathematical tool, while the conservation of energy principle is a specific consequence of applying this formalism to systems with energy conservation.

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  • Lagrangian Interaction : An Introduction To Relativistic Symmetry In Electrodynamics And Gravitation
    Lagrangian Interaction : An Introduction To Relativistic Symmetry In Electrodynamics And Gravitation

    This book is an introduction to Lagrangian mechanics, starting with Newtonian physics and proceeding to topics such as relativistic Lagrangian fields and Lagrangians in General Relativity, electrodynamics, Gauge theory, and relativistic gravitation.The mathematical notation used is introduced and explained as the book progresses, so it can be understood by students at the undergraduate level in physics or applied mathmatics, yet it is rigorous enough to serve as an introduction to the mathematics and concepts required for courses in relativistic quantum field theory and general relativity.

    Price: 135.00 £ | Shipping*: 0.00 £
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  • Do you follow fashion trends?

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    Teachers should prioritize professionalism and comfort over following fashion trends. While it is important to dress appropriately and presentably, teachers should not feel pressured to constantly keep up with the latest fashion. It is more important for teachers to focus on their teaching and creating a positive learning environment for their students. Ultimately, personal style and comfort should take precedence over following fleeting fashion trends.

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  • What is the title of the third fashion show in New Style Boutique 2?

    The title of the third fashion show in New Style Boutique 2 is "City Lights." This show takes place in the city and features more urban and modern styles for the models to showcase. It is a glamorous event that challenges the player to create trendy and chic looks for the runway.

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