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This book is about the foundations of geometric symmetry namely lie groups and differential geometry although this is a classical subject about which hundreds of books have been written this book takes a new and innovative approach the main idea is to replace the maurer cartan form with absolute parallelism and its curvature unlike the classical approach where the model is fixed . An alternative approach to lie groups and geometric structures ercument h ortacgil original and innovative research on this classic subject proposes a new direction or research using a model free approach to the concept of symmetry deformed by curvature. This is an interesting gem of a book outlining an unusual approach to lie groups and geometric structures it is written in a down to earth fashion in local coordinates it discusses obstructions to making a smooth manifold into lie group reminding us the exciting possibility of proving poincare conjecture by putting a lie group structure on a smooth homotopy 3 sphere. An alternative approach to lie groups and geometric structures ercment h ortagil download b ok download books for free find books. This book presents a new and innovative approach to lie groups and differential geometry rather than compiling and reviewing the existing material on this classical subject professor ortacgil instead questions the foundations of the subject and proposes a new direction