MATHEMATICS, PHYSICS & CHEMISTRY WITH WOLFRAM LANGUAGE

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 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. Contents: Preface About the Author 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 of the Wolfram Language 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 Bessel 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 Solitons Theoretical Chemistry: The Periodic Table Atomic Structure Atomic Orbitals The Helium Atom Complex Atoms Molecules 1 Molecules 2 Molecules 3 Molecules 4 Instructions for Accessing Online Supplementary Material Index Readership: Researchers, faculty, instructors, graduate and undergraduate students in mathematics, physics, chemistry and computing, and especially scientific fields and courses related to quantum theory. Those interested in active learning and use of technology in science education. Dr S M Blinder is Professor Emeritus of Chemistry and Physics at the University of Michigan, USA. He obtained a PhD in chemical physics from Harvard University under the direction of W E Moffitt and J H Van Vleck (Nobel Laureate in Physics, 1977). He has nearly 200 research publications and 8 books in several areas of theoretical chemistry and mathematical physics. He was the first to derive the exact Coulomb (hydrogen atom) propagator in Feynman's path-integral formulation of quantum mechanics. He has taught a multitude of courses in chemistry, physics, mathematics and philosophy, mostly on the subject of quantum theory. In earlier incarnations, he was a Junior Master in chess and an accomplished cellist. He is currently a telecommuting senior scientist with Wolfram Research, and lives with his wife in Ann Arbor. 'This book will be of great help for instructors teaching math, physics and chemistry classes. While the topics covered can be found in other textbooks, the uniqueness of this book lies in translating them into interactive Mathematica code. This...