Lecture Notes on Newtonian Mechanics [[electronic resource] ] : Lessons from Modern Concepts / / by Ilya L. Shapiro, Guilherme de Berredo-Peixoto |
Autore | Shapiro Ilya L |
Edizione | [1st ed. 2013.] |
Pubbl/distr/stampa | New York, NY : , : Springer New York : , : Imprint : Springer, , 2013 |
Descrizione fisica | 1 online resource (255 p.) |
Disciplina | 531 |
Collana | Undergraduate Lecture Notes in Physics |
Soggetto topico |
Mechanics
Mechanics, Applied Applied mathematics Engineering mathematics Classical Mechanics Theoretical and Applied Mechanics Applications of Mathematics |
ISBN | 1-4614-7825-1 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | From the Content: Part I: Kinematics -- Kinematics of a Particle -- Movement of a Particle at the Moving Basis -- Polar Coordinates in the Plane, Cylindrical and Spherical Coordinates in Space -- Part II: Newton’s Laws -- Inertial Frame.- Newton’s Second Law -- Brief Classification of Forces in Mechanics -- Conservation of Momentum for the Systems of Particles -- Linear Momentum -- Problem of Two Bodies -- Work of the Force and Conservative Forces -- Energy Conservation -- Particle in the Potential Force Field -- Conservation of Mechanical Energy in Closed Systems -- Kinetic Energy in Different Frames -- Movement in Potential Field, Oscillations -- Movement in a Fixed One-Dimensional Potential -- Harmonic Oscillator -- Dynamics of Rotational Movements -- Torque and Moment of Inertia -- Angular Momentum of a System of Particles -- Conservation of Angular Momentum -- Central Forces and Kepler’s Laws -- Kepler’s Laws -- The Precession of Perihelion of a Planet with Nearly Circular Orbit -- Basic Hydrodynamics. |
Record Nr. | UNINA-9910438107503321 |
Shapiro Ilya L
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New York, NY : , : Springer New York : , : Imprint : Springer, , 2013 | ||
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Lo trovi qui: Univ. Federico II | ||
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A Primer in Tensor Analysis and Relativity [[electronic resource] /] / by Ilya L. Shapiro |
Autore | Shapiro Ilya L |
Edizione | [1st ed. 2019.] |
Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2019 |
Descrizione fisica | 1 online resource (XVIII, 324 p. 17 illus.) |
Disciplina | 512.57 |
Collana | Undergraduate Lecture Notes in Physics |
Soggetto topico |
Physics
Gravitation Optics Electrodynamics Mathematical physics Quantum field theory String theory Mathematical Methods in Physics Classical and Quantum Gravitation, Relativity Theory Classical Electrodynamics Mathematical Physics Numerical and Computational Physics, Simulation Quantum Field Theories, String Theory |
ISBN | 3-030-26895-0 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Acknowledgements -- Preface -- Part I: Tensor Algebra and Analysis -- 1: Linear spaces, vectors and tensors -- 2: Operations over tensors, metric tensor -- 3: Symmetric, skew(anti) symmetric tensors and determinants -- 4: Curvilinear coordinates, local coordinate transformations -- 5: Derivatives of tensors, covariant derivates -- 6: Grad, div, rot and relations between them -- 7: Grad, div, rot and in cylindric and spherical coordinates -- 8: Curvilinear, surface and D-dimensional integrals -- 9: Theorems of Green, Stokes and Gauss -- 10: Solutions to the exercises from Part 1 -- Part II: Elements of Electrodynamics and Special Relativity -- 11 Maxwell equations and Lorentz transformations -- 12 Laws of relativistic mechanics -- 13 Maxwell equations in relativistic form -- Part III Applications to General Relativity -- 14 Equivalence principle, covariance and curvature tensor -- 15 Einstein equations, Schwarzschild solution and gravitational waves -- 16 Basic elements of cosmology -- 17 Special sections -- Index. |
Record Nr. | UNINA-9910349511603321 |
Shapiro Ilya L
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Cham : , : Springer International Publishing : , : Imprint : Springer, , 2019 | ||
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Lo trovi qui: Univ. Federico II | ||
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