Mathematical Methods for Geophysics and Space Physics
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Analytical mechanics
Author_William I. Newman
Bessel function
Bifurcation theory
Calculus of variations
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Category=PHVG
Cauchy's theorem (geometry)
Celestial mechanics
Central limit theorem
Chaos theory
Classical electromagnetism
Classical physics
Convolution theorem
Degeneracy (mathematics)
Drag (physics)
Eigenvalues and eigenvectors
Einstein notation
Elliptic integral
Elliptic orbit
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Equation
Forcing function (differential equations)
Fourier transform
Fractal dimension
Geochemistry
Geodesics in general relativity
Geometry
Geophysics
Gravitational acceleration
Gravitational constant
Gravitational potential
Gravitational two-body problem
Hamiltonian mechanics
Harmonic oscillator
Hyperbolic partial differential equation
Integral equation
Isotope geochemistry
Lagrangian (field theory)
Laplace transform
Laws of thermodynamics
Limit (mathematics)
Mathematical analysis
Mathematical geophysics
Mathematical physics
Mathematics
Newton's law of universal gravitation
Newton's laws of motion
Newton's method
Newtonian dynamics
Numerical analysis
Numerical integration
Operator (physics)
Orbital resonance
Parseval's theorem
Perturbation theory
Perturbation theory (quantum mechanics)
Planetary body
Planetary science
Proportionality (mathematics)
Quantum mechanics
Rotation (mathematics)
Scalar (physics)
Scientific notation
Separatrix (mathematics)
Sign (mathematics)
Space physics
Stokes' theorem
Three-dimensional space (mathematics)
Transformation geometry
Trapezoidal rule
Two-dimensional space
Variable (mathematics)
Wave equation
Product details
- ISBN 9780691170602
- Weight: 567g
- Dimensions: 178 x 254mm
- Publication Date: 03 May 2016
- Publisher: Princeton University Press
- Publication City/Country: US
- Product Form: Hardback
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Graduate students in the natural sciences--including not only geophysics and space physics but also atmospheric and planetary physics, ocean sciences, and astronomy--need a broad-based mathematical toolbox to facilitate their research. In addition, they need to survey a wider array of mathematical methods that, while outside their particular areas of expertise, are important in related ones. While it is unrealistic to expect them to develop an encyclopedic knowledge of all the methods that are out there, they need to know how and where to obtain reliable and effective insights into these broader areas. Here at last is a graduate textbook that provides these students with the mathematical skills they need to succeed in today's highly interdisciplinary research environment. This authoritative and accessible book covers everything from the elements of vector and tensor analysis to ordinary differential equations, special functions, and chaos and fractals. Other topics include integral transforms, complex analysis, and inverse theory; partial differential equations of mathematical geophysics; probability, statistics, and computational methods; and much more.
Proven in the classroom, Mathematical Methods for Geophysics and Space Physics features numerous exercises throughout as well as suggestions for further reading. * Provides an authoritative and accessible introduction to the subject * Covers vector and tensor analysis, ordinary differential equations, integrals and approximations, Fourier transforms, diffusion and dispersion, sound waves and perturbation theory, randomness in data, and a host of other topics * Features numerous exercises throughout * Ideal for students and researchers alike * An online illustration package is available to professors
William I. Newman is professor in the Department of Earth, Planetary, and Space Sciences, the Department of Physics and Astronomy, and the Department of Mathematics at the University of California, Los Angeles. He is the author of Continuum Mechanics in the Earth Sciences.
