This book addresses the need for mathematical techniques to be introduced early on in the undergraduate program. Topics that are unique to the
undergraduate curriculum, i.e. series, complex analysis, variational calculus, and integral transforms, do overlap in the advanced
undergraduate-graduate curriculum and need to be introduced early on in the undergraduate program at the appropriate level. Topical coverage includes
functional analysis; vector analysis; general coordinates and tensors; determinants and matrices; linear algebra; infinite series; complex numbers and
functions; complex integrals and series; ordinary differential equations; second-order differential equations and special functions; Bessel's equation
and Bessel's functions; partial differential equations and special functions; other useful functions of mathematical physics; Fourier series; integral
transforms; variational analysis; probability theory; and information theory.
The book equips students with the necessary mathematical skills
that are required by a majority of the physics and engineering undergraduate programs, and it also establishes the background needed to understand and
appreciate more advanced topics.

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