Mathematics, Physics

图书简介

The Wolfram language is the programming language of Mathematica, used increasingly by scientists due to its ease of learning and user-friendliness. This book focuses on applications of the Wolfram language to applied mathematics, physics and chemistry. Topics discussed are broad and comprehensive, from differential equations and special functions to fractals and chess, from electromagnetism and optics to relativity and black holes. There is also extensive coverage of quantum theory and quantum chemistry, and the book is peppered with more than 200 color graphics to aid visualization of these concepts. The program codes are provided in an appendix and online as Mathematica notebooks, allowing readers to modify them and manipulate the graphics in real time. This book should be a valuable resource for researchers, educators and students in science and computing who can profit from a more interactive form of instruction.Key FeaturesFocuses on applications of the Wolfram language to applied mathematics, physics and chemistryProvides more than 200 color images as graphic interpretation for a wide range of mathematical and scientific problemsPresents full programming codes for readers to experiment with altering them and/or optimizing them for their own needs

Preface; Introduction to the Wolfram Language: Basic Operations in Mathematica; Manipulate; Lists; Functions and Plots; Other Types of Plots; 2D Graphics; 3D Graphics; Wolfram Alpha; Random Numbers; Binomial Distributions; Matrices; Demonstrations; Mathematics: Some Applications to Applied Mathematics: Complex Variables; The Gamma Function; The Error Function; Exponential Integral; The Dirac Deltafunction; Spherical Trigonometry; First-Order Differential Equations; Second-Order Differential Equations; Partial Differential Equations; Bessel Functions; Spherical Bessell Functions; Legendre Polynomials; Spherical Harmonics; Special Functions using Leibniz’s Product Rule; Confluent Hypergeometric Functions; Special Functions; Expansions of Functions; Asymptotic Expansions; Closest Packing of Spheres; Fractals; Group Theory; Prime Numbers; The Riemann Zeta Function; Topology; Los Alamos Chess; Physics: Electromagnetism: Electrical Circuits; AC Circuits; AC Circuits (Continued); Electric and Magnetic Fields; Maxwell’s Equations; Electromagnetic Radiation; Optics; Dielectrics; Physics: Quantum Theory I, Principles: Fundamental Principles; The Harmonic Oscillator; The Hydrogen Atom; Physics: Quantum Theory II, Applications: Exact Solutions of the Schrödinger Equation; Approximate Solutions of the Schrödinger Equation; Nuclear and Particle Physics; Quantum Computers; Physics: Further Topics: Relativity; Astronomy and Astrophysics; Mechanics; Fluid Mechanics; Semiconductors; Superconductivity; Theoretical Chemistry: The Periodic Table; Atomic Structure; Atomic Orbitals; The Helium Atom; Complex Atoms; Molecules 1; Molecules 2; Molecules 3; Molecules 4; Appendices

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Mathematics, Physics WOLFRAM语言在数学、物理和化学中的应用 计算机软件

Mathematics, Physics

WOLFRAM语言在数学、物理和化学中的应用
计算机软件