The Structures of Mathematical Physics (Innbundet)

An Introduction


Innbinding: Innbundet
Utgivelsesår: 2021
Antall sider: 258
Forlag: Springer Nature Switzerland AG
Språk: Engelsk
ISBN/EAN: 9783030734480
Kategori: Matematikk
Omtale The Structures of Mathematical Physics
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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