國立高雄大學圖資館 |

Language: English

Back

The structures of mathematical physi...

SpringerLink (Online service)

The structures of mathematical physicsan introduction /

Record Type:	Electronic resources : Monograph/item
Title/Author:	The structures of mathematical physicsby Steven P. Starkovich.
Reminder of title:	an introduction /
Author:	Starkovich, Steven P.
Published:	Cham :Springer International Publishing :2021.
Description:	xxii, 258 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Mathematical physics.
Online resource:	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

The structures of mathematical physicsan introduction /
LDR:02214nmm a2200325 a 4500 001 605599
003 DE-He213
005 20210720213906.0
006 m d
007 cr nn 008maaau
008 211201s2021 sz s 0 eng d
020 $a 9783030734497$q(electronic bk.)
020 $a 9783030734480$q(paper)
024 7 $a 10.1007/978-3-030-73449-7 $2 doi
035 $a 978-3-030-73449-7
040 $a GP $c GP
041 0 $a eng
050 4 $a QC20
072 7 $a PHU $2 bicssc
072 7 $a SCI040000 $2 bisacsh
072 7 $a PHU $2 thema
082 0 4 $a 530.15 $2 23
090 $a QC20 $b .S795 2021
100 1 $a Starkovich, Steven P. $3 901819
245 1 4 $a The structures of mathematical physics $h [electronic resource] : $b an introduction / $c by Steven P. Starkovich.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2021.
300 $a xxii, 258 p. : $b ill., digital ; $c 24 cm.
505 0 $a 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.
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.
650 0 $a Mathematical physics. $3 190854
650 1 4 $a Mathematical Methods in Physics. $3 273796
650 2 4 $a Mathematical Physics. $3 522725
650 2 4 $a Mathematical Applications in the Physical Sciences. $3 522718
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer Nature eBook
856 4 0 $u https://doi.org/10.1007/978-3-030-73449-7
950 $a Physics and Astronomy (SpringerNature-11651)