Mathematics

A. Cemal Eringen

oct 2013 · Academic Press

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Continuum Physics: Volume 1 — Mathematics is a collection of papers that discusses certain selected mathematical methods used in the study of continuum physics. Papers in this collection deal with developments in mathematics in continuum physics and its applications such as, group theory functional analysis, theory of invariants, and stochastic processes. Part I explains tensor analysis, including the geometry of subspaces and the geometry of Finsler. Part II discusses group theory, which also covers lattices, morphisms, and crystallographic groups. Part III reviews the theory of invariants that includes isotrophy, transverse isotrophy, and nonpolynomial invariants. Part IV explains functional analysis that also includes set theory, vector spaces, topological spaces, and topological vector spaces. Part V deals with analytic function theory and covers topics, such as Cauchy's theorem, the residue theorem, and the Plemelj formulas. Part VI reviews the elements of stochastic processes and cites some examples where stochastic theory is applied. This book can be valuable for researchers and scientists involved in nuclear physicists, students, and academicians in the field of advanced physics.