Which astrophysics textbook can realistically be read by a…
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Which astrophysics textbook can realistically be read by a biologist who has studied only mathematics and physics for the life sciences, as well as general and organic chemistry?
Their main gaps concern certain advanced mathematical and physical tools. They lack multivariable calculus (Calculus II), including functions of multiple variables, partial derivatives, gradients, multiple integrals, and the fundamental theorems of vector calculus, such as Gauss’s and Stokes’s theorems. Their background in differential equations is limited to ordinary differential equations (ODEs), without covering partial differential equations (PDEs). Furthermore, analytical mechanics is absent, specifically the Lagrangian and Hamiltonian formulations that constitute the modern language of theoretical physics. Finally, relativity and quantum mechanics have been covered only at an introductory and phenomenological level, lacking the mathematical formalism necessary for a rigorous study, such as Hilbert spaces for quantum mechanics and differential geometry for general relativity.
#science
Their main gaps concern certain advanced mathematical and physical tools. They lack multivariable calculus (Calculus II), including functions of multiple variables, partial derivatives, gradients, multiple integrals, and the fundamental theorems of vector calculus, such as Gauss’s and Stokes’s theorems. Their background in differential equations is limited to ordinary differential equations (ODEs), without covering partial differential equations (PDEs). Furthermore, analytical mechanics is absent, specifically the Lagrangian and Hamiltonian formulations that constitute the modern language of theoretical physics. Finally, relativity and quantum mechanics have been covered only at an introductory and phenomenological level, lacking the mathematical formalism necessary for a rigorous study, such as Hilbert spaces for quantum mechanics and differential geometry for general relativity.
#science
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