By Yves R. Talpaert (auth.)
This booklet is designed for college students in engineering, physics and arithmetic. the cloth could be taught from the start of the 3rd educational 12 months. it could actually even be used for self learn, given its pedagogical constitution and the various solved difficulties which arrange for modem physics and know-how. one of many unique points of this paintings is the improvement jointly of the elemental idea of tensors and the principles of continuum mechanics. Why books in a single? first of all, Tensor research offers a radical advent of intrinsic mathematical entities, known as tensors, that is crucial for continuum mechanics. this fashion of continuing enormously unifies some of the matters. just some uncomplicated wisdom of linear algebra is important to begin relating to tensors. The essence of the mathematical foundations is brought in a realistic manner. Tensor advancements are frequently too summary, due to the fact that they're both geared toward algebraists merely, or too fast utilized to physicists and engineers. right here a superb stability has been chanced on which permits those extremes to be introduced nearer jointly. notwithstanding the exposition of tensor idea kinds an issue in itself, it's considered not just as an self sufficient mathematical self-discipline, yet as a coaching for theories of physics and engineering. extra in particular, simply because this a part of the paintings offers with tensors regularly coordinates and never completely in Cartesian coordinates, it is going to significantly aid with many alternative disciplines equivalent to differential geometry, analytical mechanics, continuum mechanics, unique relativity, common relativity, cosmology, electromagnetism, quantum mechanics, and so forth ..