Fundamental Math and Physics for Scientists and Engineers

Fundamental Math and Physics for Scientists and Engineers summarizes college and university level physics together with the mathematics frequently encountered in engineering and physics calculations. The presentation provides straightforward, coherent explanations of underlying concepts emphasizing essential formulas, derivations, examples, and computer programs. Content that should be thoroughly mastered and memorized is clearly identified while unnecessary technical details are omitted. Fundamental Math and Physics for Scientists and Engineers is an ideal resource for undergraduate science and engineering students and practitioners, students reviewing for the GRE and graduate-level comprehensive exams, and general readers seeking to improve their comprehension of undergraduate physics.

• Covers topics frequently encountered in undergraduate physics, in particular those appearing in the Physics GRE subject examination
• Reviews relevant areas of undergraduate applied mathematics, with an overview chapter on scientific programming
• Provides simple, concise explanations and illustrations of underlying concepts

Succinct yet comprehensive, Fundamental Math and Physics for Scientists and Engineers constitutes a reference for science and engineering students, practitioners and non-practitioners alike.

Keywords: Graduate Record Examination (GRE); Particle Mechanics; Fluid Mechanics; Special Relativity; Dimensional Analysis; OCTAVE Programming; Binomial Theorem; Equation Manipulation; Trigonometry; Exponential Functions; Logarithmic Functions; Hyperbolic Functions; Trigonometric Identities; Analytic Geometry; Matrix Products; Vector Identities; Orthogonal Matrices; Eigenvalues; Eigenvectors; Matrix Generators; Multiple Integration; Jacobians; Vector Functions; Gauss's Law; Stokes' Law; Green's Identities; Lagrange Multipliers; Poisson Distributions; Error Propagation; Cauchy-Riemann Equations; Residue Theorem; Wronskian; Factorization; Frobenius Method; Strum-Liouville Theory; Fourier Series; Fourier Transforms; Delta Functions; Laplace Transforms; Bessel Functions; Spherical Harmonics; Legendre Polynomials; Volterra Equations; Fredholm Equations; Impulse; Oscillatory Motion; Rotational Motion; Angular Momentum; Torque; Celestial Mechanics; Two-particle Collisions; Hamilton's Equation; Kinematics; Fluid Mechanics; Continuity Equation; Euler's Equation; Bernoulli's Equation; Special Relativity; Minkowski Diagrams; Doppler Shift; Electric Potential; Polarization; Multipole Expansion; Magnetostatics; Faraday's Law; Circuit Theory; Kirchoff's Law; Lienard-Wiechert Potentials; Wave Motion; Propagation of Waves; Refraction; Snell's Law; Quantum Mechanics; Schr?dinger Equation; WKB Method; Perturbation Theory; Adiabatic Theorem; Atomic Physics; Bohr Model; Scattering Theory; Nuclear Physics; Particle Physics; Statistical Mechanics; Partition Functions; Carnot Cycle; Fermi Gas; Condensed Matter Physics, Mathematical & Computational Physics, Applied Mathematics, Mathematical & Computational Physics, Applied Mathematics