{"product_id":"computational-physics-using-c-isbn-9781394318537","title":"Computational Physics Using C","description":"\u003cp\u003e1            INTRODUCTION\u003c\/p\u003e \u003cp\u003e1.1        What is Computational Physics?\u003c\/p\u003e \u003cp\u003e1.2        Modularizing and Reusing Code\u003c\/p\u003e \u003cp\u003e1.3        Introduction to Computational Efficiency\u003c\/p\u003e \u003cp\u003e1.4        Taylor’s Theorem\u003c\/p\u003e \u003cp\u003e \u003c\/p\u003e \u003cp\u003e2            PRECISION LIMITS OF NUMERICAL COMPUTATION\u003c\/p\u003e \u003cp\u003e2.1        Computer Numerical Representation\u003c\/p\u003e \u003cp\u003e2.2        Roundoff Errors\u003c\/p\u003e \u003cp\u003e2.3        Loss of Precision Errors\u003c\/p\u003e \u003cp\u003e2.4        Truncation Errors\u003c\/p\u003e \u003cp\u003e \u003c\/p\u003e \u003cp\u003e3            C PROGRAMMING DETAILS\u003c\/p\u003e \u003cp\u003e3.1        Structures and Pointers\u003c\/p\u003e \u003cp\u003e3.1.1     Pointers\u003c\/p\u003e \u003cp\u003e3.1.2     Custom Data Types\u003c\/p\u003e \u003cp\u003e3.1.3     Dynamic Memory Allocation\u003c\/p\u003e \u003cp\u003e3.1.4     Structures for Tables, Vectors, and Matrices\u003c\/p\u003e \u003cp\u003e3.2        Modularizing Code and Encapsulating Data in C\u003c\/p\u003e \u003cp\u003e3.3        Common Coding Traps\u003c\/p\u003e \u003cp\u003e3.3.1     Type Conversions\u003c\/p\u003e \u003cp\u003e3.3.2     Mixed-Type Expressions\u003c\/p\u003e \u003cp\u003e3.3.3     Floating Point Comparisons\u003c\/p\u003e \u003cp\u003e3.3.4     Floating Point Loop Indexing\u003c\/p\u003e \u003cp\u003e3.3.5     The Fence Post Problem\u003c\/p\u003e \u003cp\u003e3.3.6     Library Function Domains\u003c\/p\u003e \u003cp\u003e \u003c\/p\u003e \u003cp\u003e4            VISUALIZATION OF NUMERICAL MODELS\u003c\/p\u003e \u003cp\u003e4.1        Function Stepper Tool\u003c\/p\u003e \u003cp\u003e4.2        Damped Harmonic Oscillator\u003c\/p\u003e \u003cp\u003e4.3        The gnuplot Plotting Tool\u003c\/p\u003e \u003cp\u003e4.4        The Helmholtz Coil\u003c\/p\u003e \u003cp\u003e4.5        Rainbows\u003c\/p\u003e \u003cp\u003e4.6        Diffraction Patterns\u003c\/p\u003e \u003cp\u003e4.7        Collisions\u003c\/p\u003e \u003cp\u003e4.8        Quantum Wave Packets\u003c\/p\u003e \u003cp\u003e4.9        Field Vectors\u003c\/p\u003e \u003cp\u003e4.10      Exercises\u003c\/p\u003e \u003cp\u003e \u003c\/p\u003e \u003cp\u003e5            ROOTS OF NONLINEAR FUNCTIONS\u003c\/p\u003e \u003cp\u003e5.1        Root Finding Algorithms\u003c\/p\u003e \u003cp\u003e5.1.1     The Newton-Raphson Method\u003c\/p\u003e \u003cp\u003e5.1.2     Secant Method\u003c\/p\u003e \u003cp\u003e5.1.3     Regula Falsi Method\u003c\/p\u003e \u003cp\u003e5.1.4     Bisection Method\u003c\/p\u003e \u003cp\u003e5.2        The Root Solver Tool\u003c\/p\u003e \u003cp\u003e5.3        Kepler’s Equation\u003c\/p\u003e \u003cp\u003e5.4        The Catenary\u003c\/p\u003e \u003cp\u003e5.5        Kirchoff’s Voltage Law\u003c\/p\u003e \u003cp\u003e5.6        Gravitational Lagrange Points\u003c\/p\u003e \u003cp\u003e5.7        Finding Multiple Roots with Stepping\u003c\/p\u003e \u003cp\u003e5.8        Quantum Energy Levels of Bound Particles\u003c\/p\u003e \u003cp\u003e5.9        Exercises\u003c\/p\u003e \u003cp\u003e \u003c\/p\u003e \u003cp\u003e6            SYSTEMS OF LINEAR EQUATIONS\u003c\/p\u003e \u003cp\u003e6.1        Gaussian Elimination\u003c\/p\u003e \u003cp\u003e6.2        Pivoting\u003c\/p\u003e \u003cp\u003e6.3        The Systems of Linear Equations Tool\u003c\/p\u003e \u003cp\u003e6.4        Modes of Coupled Oscillators\u003c\/p\u003e \u003cp\u003e6.5        Kirchoff’s Current Law\u003c\/p\u003e \u003cp\u003e6.6        Determinate Structures\u003c\/p\u003e \u003cp\u003e6.7        Indeterminate Structures\u003c\/p\u003e \u003cp\u003e6.8        Exercises\u003c\/p\u003e \u003cp\u003e \u003c\/p\u003e \u003cp\u003e7            SYSTEMS OF NONLINEAR EQUATIONS\u003c\/p\u003e \u003cp\u003e7.1        Newton-Raphson Algorithm\u003c\/p\u003e \u003cp\u003e7.2        The Systems of Nonlinear Equations Tool\u003c\/p\u003e \u003cp\u003e7.3        Mechanics Problems\u003c\/p\u003e \u003cp\u003e7.4        Statics Problems\u003c\/p\u003e \u003cp\u003e7.5        Nonlinear Circuits\u003c\/p\u003e \u003cp\u003e7.6        Numerical Estimates of the Jacobian Partial Derivatives\u003c\/p\u003e \u003cp\u003e7.7        The Covalent Bond\u003c\/p\u003e \u003cp\u003e7.8        Exercises\u003c\/p\u003e \u003cp\u003e \u003c\/p\u003e \u003cp\u003e8            MONTE CARLO SIMULATION\u003c\/p\u003e \u003cp\u003e8.1        Applications of Pseudorandom Numbers\u003c\/p\u003e \u003cp\u003e8.2        Linear Congruential Method\u003c\/p\u003e \u003cp\u003e8.3        The Pseudorandom Number Generator Tool\u003c\/p\u003e \u003cp\u003e8.4        Random Walks\u003c\/p\u003e \u003cp\u003e8.5        Radioactive Decay\u003c\/p\u003e \u003cp\u003e8.6        Classical Scattering\u003c\/p\u003e \u003cp\u003e8.7        Olbers’ Paradox\u003c\/p\u003e \u003cp\u003e8.8        Ideal Gas Simulation\u003c\/p\u003e \u003cp\u003e8.9        Integration of Gauss’ Law\u003c\/p\u003e \u003cp\u003e8.10      Exercises\u003c\/p\u003e \u003cp\u003e \u003c\/p\u003e \u003cp\u003e9            INTERPOLATION OF SPARSE DATA POINTS\u003c\/p\u003e \u003cp\u003e9.1        Interpolation Algorithms\u003c\/p\u003e \u003cp\u003e9.1.1     Newton Polynomial\u003c\/p\u003e \u003cp\u003e9.1.2     Lagrange Polynomial\u003c\/p\u003e \u003cp\u003e9.2        The Interpolation Tool\u003c\/p\u003e \u003cp\u003e9.3        Interpolation of Sparse Experimental Data\u003c\/p\u003e \u003cp\u003e9.4        Interpolation of Sparse Astronomical Data\u003c\/p\u003e \u003cp\u003e9.5        Interpolation of Expensive Simulated Data\u003c\/p\u003e \u003cp\u003e9.6        Inverse Interpolation\u003c\/p\u003e \u003cp\u003e9.7        Interpolation of Troublesome Numerical Data\u003c\/p\u003e \u003cp\u003e \u003c\/p\u003e \u003cp\u003e10 NUMERICAL INTEGRATION\u003c\/p\u003e \u003cp\u003e10.1      Integration Algorithms\u003c\/p\u003e \u003cp\u003e10.1.1  Trapezoidal Rule\u003c\/p\u003e \u003cp\u003e10.1.2  Simpson’s Rule\u003c\/p\u003e \u003cp\u003e10.2      The Integration Tool\u003c\/p\u003e \u003cp\u003e10.3      Orbital Circumference\u003c\/p\u003e \u003cp\u003e10.4      The Helmholtz Coil Revisited\u003c\/p\u003e \u003cp\u003e10.5      Practical Solenoids\u003c\/p\u003e \u003cp\u003e \u003c\/p\u003e \u003cp\u003e11         FUNCTION MINIMIZATION\u003c\/p\u003e \u003cp\u003e11.1      Single Variable Functions\u003c\/p\u003e \u003cp\u003e11.2      Multiple Variable Functions\u003c\/p\u003e \u003cp\u003e11.3      Optimizing the Helmholtz Coil\u003c\/p\u003e \u003cp\u003e11.4      Nonlinear Fitting\u003c\/p\u003e \u003cp\u003e11.5      Exercises\u003c\/p\u003e \u003cp\u003e \u003c\/p\u003e \u003cp\u003e12         EXPLICIT METHODS FOR ORDINARY DIFFERENTIAL EQUATIONS\u003c\/p\u003e \u003cp\u003e12.1      Vector Fields\u003c\/p\u003e \u003cp\u003e12.2      Explicit Algorithms for Differential Equation\u003c\/p\u003e \u003cp\u003e12.2.1  Euler’s Method\u003c\/p\u003e \u003cp\u003e12.2.2  Heun’s Method\u003c\/p\u003e \u003cp\u003e12.2.3  Modified Euler Method\u003c\/p\u003e \u003cp\u003e12.2.4  Runge-Kutta Methods\u003c\/p\u003e \u003cp\u003e12.2.5  Adams-Bashforth-Moulton Method\u003c\/p\u003e \u003cp\u003e12.3      Solving Higher Order Equations and Systems of Differential Equations\u003c\/p\u003e \u003cp\u003e12.4      The Differential Equation Solver Tool\u003c\/p\u003e \u003cp\u003e12.5      Large-Angle Pendulum\u003c\/p\u003e \u003cp\u003e12.6      Ballistics\u003c\/p\u003e \u003cp\u003e12.7      Forced and Damped Pendulum\u003c\/p\u003e \u003cp\u003e12.8      Inverted Pendulum\u003c\/p\u003e \u003cp\u003e12.9      Synchronized Oscillators\u003c\/p\u003e \u003cp\u003e12.10   Double Pendulum\u003c\/p\u003e \u003cp\u003e12.11   Chaotic Dynamics\u003c\/p\u003e \u003cp\u003e12.12   n-Body Collisions\u003c\/p\u003e \u003cp\u003e12.13   Classical Field Lines\u003c\/p\u003e \u003cp\u003e12.14   Playground Swing\u003c\/p\u003e \u003cp\u003e12.15   Deflecting Charges in Magnetic Fields\u003c\/p\u003e \u003cp\u003e12.16   Solid State Physics\u003c\/p\u003e \u003cp\u003e12.17   Quantum Scattering\u003c\/p\u003e \u003cp\u003e12.18   Exercises\u003c\/p\u003e \u003cp\u003e \u003c\/p\u003e \u003cp\u003e13         IMPLICIT METHODS FOR ORDINARY DIFFERENTIAL EQUATIONS\u003c\/p\u003e \u003cp\u003e13.1      Explicit Algorithm Instability\u003c\/p\u003e \u003cp\u003e13.1.1  Backward Euler Method\u003c\/p\u003e \u003cp\u003e13.1.2  Trapezoidal Method\u003c\/p\u003e \u003cp\u003e13.2      The Implicit Differential Equation Solver Tool\u003c\/p\u003e \u003cp\u003e13.3      Waves\u003c\/p\u003e \u003cp\u003e13.4      n-Body Gravitational Systems\u003c\/p\u003e \u003cp\u003e13.5      Magnetic Confinement\u003c\/p\u003e \u003cp\u003e13.6      The Ionosphere\u003c\/p\u003e \u003cp\u003e13.7      Exercises Bibliography Index\u003c\/p\u003e","brand":"Wiley","offers":[{"title":"Default Title","offer_id":47988967538917,"sku":"NP9781394318537","price":93.0,"currency_code":"USD","in_stock":false}],"url":"https:\/\/k12savings.com\/es\/products\/computational-physics-using-c-isbn-9781394318537","provider":"K12savings","version":"1.0","type":"link"}