000			a
999			_c32549 _d32549
008			230901b xxu||||| |||| 00| 0 eng d
020			_a9783030734510
082			_a530.15 _bSTA
100			_aStarkovich, Steven P.
245			_aStructures of mathematical physics : an introduction
260			_bSpringer, _c2021 _aCham :
300			_axxii, 258 p. ; _bill., _c24 cm
365			_b49.99 _cEUR _d94.90
504			_aIncludes bibliographical references and index.
520			_aThis textbook serves as an introduction to groups, rings, fields, vector and tensor spaces, algebras, topological spaces, differentiable manifolds and Lie groups --- mathematical structures which are foundational to modern theoretical physics. It is aimed primarily at undergraduate students in physics and mathematics with no previous background in these topics. Applications to physics --- such as the metric tensor of special relativity, the symplectic structures associated with Hamilton's equations and the Generalized Stokes's Theorem --- appear at appropriate places in the text. Worked examples, end-of-chapter problems (many with hints and some with answers) and guides to further reading make this an excellent book for self-study. Upon completing this book the reader will be well prepared to delve more deeply into advanced texts and specialized monographs in theoretical physics or mathematics.
650			_aAlgebraic structure
650			_aCategory theory
650			_aCauchy integral theorem
650			_aDivergence theorem
650			_aGeneralized Stokes's theorem
650			_aHamilton's equation
650			_aHodge star operation
650			_aMoore-Smith convergence theory
650			_aPoisson algebra
650			_aRodigues formulas
650			_aSchrodinger's equation
650			_aTietze extension theorem
650			_aTrichotomy law
650			_aUrysohn's theorem
650			_aWeight function
942			_2ddc _cBK