{"product_id":"computational-modeling-and-visualization-of-physical-systems-with-python-isbn-9781119239888","title":"Computational Modeling and Visualization of Physical Systems with Python","description":"\u003cb\u003e\u003ci\u003eComputational Modeling\u003c\/i\u003e\u003c\/b\u003e, by Jay Wang introduces computational modeling and visualization of physical systems that are commonly found in physics and related areas. The authors begin with a framework that integrates model building, algorithm development, and data visualization for problem solving via scientific computing. Through carefully selected problems, methods, and projects, the reader is guided to learning and discovery by actively doing rather than just knowing physics. \u003cp\u003ePreface ix\u003c\/p\u003e \u003cp\u003e\u003cb\u003e1 Introduction 1\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e1.1 Computational modeling and visualization, 1\u003c\/p\u003e \u003cp\u003e1.2 The science and art of numerics, 2\u003c\/p\u003e \u003cp\u003e1.3 Fundamentals of programming and visualization, 6\u003c\/p\u003e \u003cp\u003e1.4 Exercises and projects, 14\u003c\/p\u003e \u003cp\u003e1.A Floating point representation, 15\u003c\/p\u003e \u003cp\u003e1.B Python installation, 17\u003c\/p\u003e \u003cp\u003e1.C The Matplotlib plot function, 20\u003c\/p\u003e \u003cp\u003e1.D Basic NumPy array operations, 21\u003c\/p\u003e \u003cp\u003e\u003cb\u003e2 Free Fall and Ordinary Differential Equations 27\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2.1 Free fall with Euler’s method, 27\u003c\/p\u003e \u003cp\u003e2.2 The Runge-Kutta (RK) methods, 32\u003c\/p\u003e \u003cp\u003e2.3 System of first-order ODEs, 37\u003c\/p\u003e \u003cp\u003e2.4 The leapfrog method, 43\u003c\/p\u003e \u003cp\u003e2.5 Exercises and projects, 48\u003c\/p\u003e \u003cp\u003e2.A Area preservation of the leapfrog method, 52\u003c\/p\u003e \u003cp\u003e2.B Program listings and descriptions, 54\u003c\/p\u003e \u003cp\u003e\u003cb\u003e3 Realistic Projectile Motion with Air Resistance 57\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e3.1 Visualization of ideal projectile motion, 57\u003c\/p\u003e \u003cp\u003e3.2 Modeling air resistance, 58\u003c\/p\u003e \u003cp\u003e3.3 Linear air resistance, 62\u003c\/p\u003e \u003cp\u003e3.4 The Lambert 𝑊 function, 67\u003c\/p\u003e \u003cp\u003e3.5 Quadratic air resistance and spin, 70\u003c\/p\u003e \u003cp\u003e3.6 Physics of ball sports, 73\u003c\/p\u003e \u003cp\u003e3.7 Shooting methods, 80\u003c\/p\u003e \u003cp\u003e3.8 Exercises and projects, 83\u003c\/p\u003e \u003cp\u003e3.A Bisection and Newton’s root finders, 87\u003c\/p\u003e \u003cp\u003e3.B Program listings and descriptions, 89\u003c\/p\u003e \u003cp\u003e\u003cb\u003e4 Planetary Motion and Few-Body Problems 92\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e4.1 Motion of a planet, 92\u003c\/p\u003e \u003cp\u003e4.2 Properties of planetary motion, 94\u003c\/p\u003e \u003cp\u003e4.3 Precession of Mercury, 99\u003c\/p\u003e \u003cp\u003e4.4 Star wobbles and exoplanets, 107\u003c\/p\u003e \u003cp\u003e4.5 Planar three-body problems, 111\u003c\/p\u003e \u003cp\u003e4.6 The restricted three-body problem, 116\u003c\/p\u003e \u003cp\u003e4.7 Exercises and projects, 125\u003c\/p\u003e \u003cp\u003e4.A Rotating frames and rate of change of vectors, 130\u003c\/p\u003e \u003cp\u003e4.B Rotation matrices, 132\u003c\/p\u003e \u003cp\u003e4.C Radial velocity transformation, 133\u003c\/p\u003e \u003cp\u003e4.D Program listings and descriptions, 135\u003c\/p\u003e \u003cp\u003e\u003cb\u003e5 Nonlinear Dynamics and Chaos 144\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e5.1 A first model: the logistic map, 144\u003c\/p\u003e \u003cp\u003e5.2 Chaos, 153\u003c\/p\u003e \u003cp\u003e5.3 A non-linear driven oscillator, 157\u003c\/p\u003e \u003cp\u003e5.4 The Lorenz flow, 163\u003c\/p\u003e \u003cp\u003e5.5 Power spectrum and Fourier transform, 168\u003c\/p\u003e \u003cp\u003e5.6 Fractals, 170\u003c\/p\u003e \u003cp\u003e5.7 Exercises and projects, 174\u003c\/p\u003e \u003cp\u003e5.A Program listings and descriptions, 179\u003c\/p\u003e \u003cp\u003e\u003cb\u003e6 Oscillations and Waves 184\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e6.1 A damped harmonic oscillator, 184\u003c\/p\u003e \u003cp\u003e6.2 Vibrations of triatomic molecules, 188\u003c\/p\u003e \u003cp\u003e6.3 Displacement of a string under a load, 194\u003c\/p\u003e \u003cp\u003e6.4 Point source and finite element method, 199\u003c\/p\u003e \u003cp\u003e6.5 Waves on a string, 204\u003c\/p\u003e \u003cp\u003e6.6 Standing waves, 210\u003c\/p\u003e \u003cp\u003e6.7 Waves on a membrane, 212\u003c\/p\u003e \u003cp\u003e6.8 A falling tablecloth toward equilibrium, 215\u003c\/p\u003e \u003cp\u003e6.9 Exercises and projects, 217\u003c\/p\u003e \u003cp\u003e6.A Program listings and descriptions, 222\u003c\/p\u003e \u003cp\u003e\u003cb\u003e7 Electromagnetic Fields 226\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e7.1 The game of electric field hockey, 226\u003c\/p\u003e \u003cp\u003e7.2 Electric potentials and fields, 228\u003c\/p\u003e \u003cp\u003e7.3 Laplace equation and finite element method, 233\u003c\/p\u003e \u003cp\u003e7.4 Boundary value problems with FEM, 242\u003c\/p\u003e \u003cp\u003e7.5 Meshfree methods for potentials and fields, 247\u003c\/p\u003e \u003cp\u003e7.6 Visualization of electromagnetic fields, 251\u003c\/p\u003e \u003cp\u003e7.7 Exercises and projects, 256\u003c\/p\u003e \u003cp\u003e7.A Program listings and descriptions, 261\u003c\/p\u003e \u003cp\u003e\u003cb\u003e8 Time-Dependent Quantum Mechanics 272\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e8.1 Time-dependent Schrödinger equation, 272\u003c\/p\u003e \u003cp\u003e8.2 Direct simulation, 274\u003c\/p\u003e \u003cp\u003e8.3 Free fall, the quantum way, 281\u003c\/p\u003e \u003cp\u003e8.4 Two-state systems and Rabi flopping, 289\u003c\/p\u003e \u003cp\u003e8.5 Quantum waves in 2D, 293\u003c\/p\u003e \u003cp\u003e8.6 Exercises and projects, 299\u003c\/p\u003e \u003cp\u003e8.A Numerical integration, 304\u003c\/p\u003e \u003cp\u003e8.B Program listings and descriptions, 307\u003c\/p\u003e \u003cp\u003e\u003cb\u003e9 Time-Independent Quantum Mechanics 313\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e9.1 Bound states by shooting methods, 313\u003c\/p\u003e \u003cp\u003e9.2 Periodic potentials and energy bands, 319\u003c\/p\u003e \u003cp\u003e9.3 Eigenenergies by FDM and FEM methods, 320\u003c\/p\u003e \u003cp\u003e9.4 Basis expansion method, 326\u003c\/p\u003e \u003cp\u003e9.5 Central field potentials, 331\u003c\/p\u003e \u003cp\u003e9.6 Quantum dot, 335\u003c\/p\u003e \u003cp\u003e9.7 Exercises and projects, 343\u003c\/p\u003e \u003cp\u003e9.A Numerov’s method, 348\u003c\/p\u003e \u003cp\u003e9.B The linear potential and Airy function, 349\u003c\/p\u003e \u003cp\u003e9.C Program listings and descriptions, 351\u003c\/p\u003e \u003cp\u003e\u003cb\u003e10 Simple Random Problems 362\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e10.1 Random numbers and radioactive decay, 362\u003c\/p\u003e \u003cp\u003e10.2 Random walk, 364\u003c\/p\u003e \u003cp\u003e10.3 Brownian motion, 367\u003c\/p\u003e \u003cp\u003e10.4 Potential energy by Monte Carlo integration, 369\u003c\/p\u003e \u003cp\u003e10.5 Exercises and projects, 372\u003c\/p\u003e \u003cp\u003e10.A Statistical theory of Brownian motion, 376\u003c\/p\u003e \u003cp\u003e10.B Nonuniform distributions, 377\u003c\/p\u003e \u003cp\u003e10.C Program listings and descriptions, 378\u003c\/p\u003e \u003cp\u003e\u003cb\u003e11 Thermal Systems 382\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e11.1 Thermodynamics of equilibrium, 382\u003c\/p\u003e \u003cp\u003e11.2 The Ising model, 392\u003c\/p\u003e \u003cp\u003e11.3 Thermal relaxation by simulated annealing, 404\u003c\/p\u003e \u003cp\u003e11.4 Molecular dynamics, 406\u003c\/p\u003e \u003cp\u003e11.5 Exercises and projects, 414\u003c\/p\u003e \u003cp\u003e11.A Boltzmann factor and entropy, 421\u003c\/p\u003e \u003cp\u003e11.B Exact solutions of the 2D Ising model, 422\u003c\/p\u003e \u003cp\u003e11.C Program listings and descriptions, 424\u003c\/p\u003e \u003cp\u003e\u003cb\u003e12 Classical and Quantum Scattering 428\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e12.1 Scattering and cross sections, 428\u003c\/p\u003e \u003cp\u003e12.2 Rainbow and glory scattering, 432\u003c\/p\u003e \u003cp\u003e12.3 Quantum scattering amplitude, 437\u003c\/p\u003e \u003cp\u003e12.4 Partial waves, 439\u003c\/p\u003e \u003cp\u003e12.5 Exercises and projects, 450\u003c\/p\u003e \u003cp\u003e12.A Derivation of the deflection function, 456\u003c\/p\u003e \u003cp\u003e12.B Partial wave analysis, 457\u003c\/p\u003e \u003cp\u003e12.C Program listings and descriptions, 459\u003c\/p\u003e \u003cp\u003eList of Programs 463\u003c\/p\u003e \u003cp\u003eBibliography 467\u003c\/p\u003e \u003cp\u003eIndex 471\u003c\/p\u003e   \u003cp\u003e\u003cb\u003eDid You Know?\u003c\/b\u003e  \u003c\/p\u003e\u003cp\u003e\u003cb\u003eThis book is also available as a Wiley eText.\u003c\/b\u003e  \u003c\/p\u003e\u003cp\u003eThe Wiley eText is a complete digital version of the text that makes time spent studying more efficient. 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A more affordable alternative to traditional print, the Wiley eText creates a flexible user experience:  \u003c\/p\u003e\u003cul\u003e \u003cli\u003e\u003cb\u003eAccess on-the-go\u003c\/b\u003e\u003c\/li\u003e \u003cli\u003e\u003cb\u003eSearch across content\u003c\/b\u003e\u003c\/li\u003e \u003cli\u003e\u003cb\u003eHighlight and take notes\u003c\/b\u003e\u003c\/li\u003e \u003cli\u003e\u003cb\u003eSave money!\u003c\/b\u003e\u003c\/li\u003e \u003c\/ul\u003e  \u003cp\u003ePurchase the Wiley eText from\u003cbr\u003e \u003cb\u003ewww.WileyStudentChoice.com\u003c\/b\u003e\u003c\/p\u003e","brand":"Wiley","offers":[{"title":"Default Title","offer_id":47988966850789,"sku":"NP9781119239888","price":110.0,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1842\/7735\/files\/9781119239888.jpg?v=1761782243","url":"https:\/\/k12savings.com\/es\/products\/computational-modeling-and-visualization-of-physical-systems-with-python-isbn-9781119239888","provider":"K12savings","version":"1.0","type":"link"}