EAN: 9783384185518

INTRODUCTION TO THE GEOMETRICAL FOUNDATIONS OF ...

This book is intended for physics students (undergraduate transition to graduate) who want to
prepare for lectures on general relativity. Some knowledge of linear algebra and analysis are
required. This textbook starts with basic topics such as vector space and vectors (chapter 1) 
dual space and covectors (chapter 2)  tensors (chapter 3)  etc.. Great importance is always
attached to the clarity of the explanations and derivations of the topics. 31 figures support
these intentions. General relativity is in its deeper sense a geometric theory. Therefore  the
emphasis in this textbook has been placed on understanding space in its geometric
configuration. Space is a component of the representation of the physical real. And it is thus
the stage on which the physical processes and procedures show themselves. Calculation tasks
have been deliberately omitted. The focus is on understanding a topic. For this purpose  many
examples and detailed extra introductions have been made. For exercises  there are enough
examples in the relevant textbooks that can be used to deepen a topic. This book serves as a
good basis for mastering tasks. If you have studied the book thoroughly  you will be prepared
to start working on the physics of gravitation as described by general relativity.

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