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The structures of mathematical physi...

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The structures of mathematical physicsan introduction /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	The structures of mathematical physicsby 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.
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$q(electronic bk.)

The structures of mathematical physicsan introduction /
Starkovich, Steven P.

The structures of mathematical physicsan 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$q(electronic bk.)

Standard No.: 10.1007/978-3-030-73449-7doiSubjects--Topical Terms:

190854
Mathematical physics.

LC Class. No.: QC20

Dewey Class. No.: 530.15

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520 $a 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.
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