The Structures of Mathematical Physics: An Introduction - Softcover

Starkovich, Steven P.

Softcover

ISBN 10: 303073451X ISBN 13: 9783030734510

Verlag: Springer, 2022

Inhaltsangabe

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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Über die Autorin bzw. den Autor

Steven P. Starkovich is Associate Professor Emeritus of Physics at Pacific Lutheran University, where he served for seven years as Provost and Senior Vice President for Academic Affairs. His 20 years of classroom teaching spanned the entire undergraduate physics curriculum. He received his PhD in Physics from the University of Victoria in British Columbia, specializing in general relativity and cosmology.

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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.

Details zur Ausgabe

• Verlag: Springer
• Erscheinungsdatum: 2022
• Sprache: Englisch
• ISBN 10: 303073451X
• ISBN 13: 9783030734510
• Einband: Taschenbuch
• Auflage: 1
• Anzahl der Seiten: 280
• Kontakt zum Hersteller: Springer Nature Customer Service Center GmbH; ProductSafety@springernature.com; ; Europaplatz 3; Heidelberg; 69115; Deutschland