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The structures of mathematical physi...
~
Starkovich, Steven P.
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The structures of mathematical physics = an introduction /
紀錄類型:
書目-電子資源 : Monograph/item
正題名/作者:
The structures of mathematical physics/ by Steven P. Starkovich.
其他題名:
an introduction /
作者:
Starkovich, Steven P.
出版者:
Cham :Springer International Publishing : : 2021.,
面頁冊數:
xxii, 258 p. :ill., digital ;24 cm.
內容註:
Preface and Acknowledgements -- Sets and Relations -- Mappings and Functions -- Rings and Fields -- Linear Vector Spaces -- Algebras -- Basic Topology and Topological Groups -- Topological Vector Spaces -- Measure, Integration and Hilbert Space -- Operators and Spectra -- Annotated Bibliography and a Guide to Further Reading -- Index.
Contained By:
Springer Nature eBook
標題:
Mathematical physics. -
電子資源:
https://doi.org/10.1007/978-3-030-73449-7
ISBN:
9783030734497
The structures of mathematical physics = an introduction /
Starkovich, Steven P.
The structures of mathematical physics
an introduction /[electronic resource] :by Steven P. Starkovich. - Cham :Springer International Publishing :2021. - xxii, 258 p. :ill., digital ;24 cm.
Preface and Acknowledgements -- Sets and Relations -- Mappings and Functions -- Rings and Fields -- Linear Vector Spaces -- Algebras -- Basic Topology and Topological Groups -- Topological Vector Spaces -- Measure, Integration and Hilbert Space -- Operators and Spectra -- Annotated Bibliography and a Guide to Further Reading -- Index.
This 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.
ISBN: 9783030734497
Standard No.: 10.1007/978-3-030-73449-7doiSubjects--Topical Terms:
516853
Mathematical physics.
LC Class. No.: QC20
Dewey Class. No.: 530.15
The structures of mathematical physics = an introduction /
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