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This study covers Ph. D. dissertation of the author and also is extension of the some scientific papers produced by him. Clearly, this book has been prepared to determine the important of the lifting method in differential geometry and mechanics which is used to generalize the motion equations, systems and fields on space and differentiable structures on any manifold to its extensions. Lifting process is any kind of extension or generalization process. Here is given vertical, complete and horizontal lifts. Higher order lifts are used to model problems in electrical, magnetical and gravitational fields of quantum and classical mechanics of physics. I believe that this publication will be beneficial for mathematics and physics researches and all other users.
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