Tensors and Manifolds : With Applications to Physics
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| Title: | Tensors and Manifolds : With Applications to Physics |
|---|---|
| Description: | This book is a new edition of'Tensors and Manifolds: With Applications to Mechanics and Relativity'which was published in 1992. It is based on courses taken by advanced undergraduate and beginning graduate students in mathematics and physics, giving an introduction to the expanse of modern mathematics and its application in modern physics. It aims to fill the gap between the basic courses and the highly technical and specialised courses which both mathematics and physics students require in their advanced training, while simultaneously trying to promote, at an early stage, a better appreciation and understanding of each other's discipline. The book sets forth the basic principles of tensors and manifolds, describing how the mathematics underlies elegant geometrical models of classical mechanics, relativity and elementary particle physics. The existing material from the first edition has been reworked and extended in some sections to provide extra clarity, as well as additional problems. Four new chapters on Lie groups and fibre bundles have been included, leading to an exposition of gauge theory and the standard model of elementary particle physics. Mathematical rigour combined with an informal style makes this a very accessible book and will provide the reader with an enjoyable panorama of interesting mathematics and physics. |
| Authors: | Robert H. Wasserman |
| Resource Type: | eBook. |
| Subjects: | Calculus of tensors, Manifolds (Mathematics), Mathematical physics, Generalized spaces, Mechanics, Relativity (Physics) |
| Categories: | MATHEMATICS / Vector Analysis |
| Database: | eBook Collection (EBSCOhost) |
| FullText | Links: – Type: ebook-pdf Text: Availability: 0 |
|---|---|
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| Items | – Name: Title Label: Title Group: Ti Data: Tensors and Manifolds : With Applications to Physics – Name: Abstract Label: Description Group: Ab Data: This book is a new edition of'Tensors and Manifolds: With Applications to Mechanics and Relativity'which was published in 1992. It is based on courses taken by advanced undergraduate and beginning graduate students in mathematics and physics, giving an introduction to the expanse of modern mathematics and its application in modern physics. It aims to fill the gap between the basic courses and the highly technical and specialised courses which both mathematics and physics students require in their advanced training, while simultaneously trying to promote, at an early stage, a better appreciation and understanding of each other's discipline. The book sets forth the basic principles of tensors and manifolds, describing how the mathematics underlies elegant geometrical models of classical mechanics, relativity and elementary particle physics. The existing material from the first edition has been reworked and extended in some sections to provide extra clarity, as well as additional problems. Four new chapters on Lie groups and fibre bundles have been included, leading to an exposition of gauge theory and the standard model of elementary particle physics. Mathematical rigour combined with an informal style makes this a very accessible book and will provide the reader with an enjoyable panorama of interesting mathematics and physics. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Robert+H%2E+Wasserman%22">Robert H. Wasserman</searchLink> – Name: TypePub Label: Resource Type Group: TypPub Data: eBook. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Calculus+of+tensors%22">Calculus of tensors</searchLink><br /><searchLink fieldCode="DE" term="%22Manifolds+%28Mathematics%29%22">Manifolds (Mathematics)</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+physics%22">Mathematical physics</searchLink><br /><searchLink fieldCode="DE" term="%22Generalized+spaces%22">Generalized spaces</searchLink><br /><searchLink fieldCode="DE" term="%22Mechanics%22">Mechanics</searchLink><br /><searchLink fieldCode="DE" term="%22Relativity+%28Physics%29%22">Relativity (Physics)</searchLink> – Name: SubjectBISAC Label: Categories Group: Su Data: <searchLink fieldCode="ZK" term="%22MATHEMATICS+%2F+Vector+Analysis%22">MATHEMATICS / Vector Analysis</searchLink> |
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| RecordInfo | BibRecord: BibEntity: Classifications: – Code: 530.15 Scheme: ddc Type: prePub Languages: – Code: eng Text: English Subjects: – SubjectFull: Calculus of tensors Type: general – SubjectFull: Manifolds (Mathematics) Type: general – SubjectFull: Mathematical physics Type: general – SubjectFull: Generalized spaces Type: general – SubjectFull: Mechanics Type: general – SubjectFull: Relativity (Physics) Type: general Titles: – TitleFull: Tensors and Manifolds : With Applications to Physics Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Robert H. Wasserman – PersonEntity: Name: NameFull: Robert H. Wasserman IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 01 Type: published Y: 2004 – D: 17 M: 06 Type: profile Y: 2017 Identifiers: – Type: isbn-print Value: 9780198510598 – Type: isbn-print Value: 9780199564828 – Type: isbn-electronic Value: 9780192539106 Titles: – TitleFull: Tensors and Manifolds : With Applications to Physics Type: main |
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