As it was already seen in the first volume of the present book, its guideline is precisely the mathematical model of mechanics. The classical models which we refer to are in fact models based on the Newtonian model of mechanics, on its five principles, i. e.: the inertia, the forces action, the action and reaction, the parallelogram and the initial conditions principle, respectively. Other models, e. g., the model of attraction forces between the particles of a discrete mechanical system, are part of the considered Newtonian model. Kepler s laws brilliantly verify this model in case of...
As it was already seen in the first volume of the present book, its guideline is precisely the mathematical model of mechanics. The classical models w...
Petre P. Teodorescu Nicolae-A P. Nicorovici P. P. Teodorescu
The notion of group is fundamental in our days, not only in mathematics, but also in classical mechanics, electromagnetism, theory of relativity, quantum mechanics, theory of elementary particles, etc. This notion has developed during a century and this development is connected with the names of great mathematicians as E. Galois, A. L. Cauchy, C. F. Gauss, W. R. Hamilton, C. Jordan, S. Lie, E. Cartan, H. Weyl, E. Wigner, and of many others. In mathematics, as in other sciences, the simple and fertile ideas make their way with difficulty and slowly; however, this long history would have been...
The notion of group is fundamental in our days, not only in mathematics, but also in classical mechanics, electromagnetism, theory of relativity, quan...
All phenomena in nature are characterized by motion; this is an essential property of matter, having infinitely many aspects. Motion can be mechanical, physical, chemical or biological, leading to various sciences of nature, mechanics being one of them. Mechanics deals with the objective laws of mechanical motion of bodies, the simplest form of motion.
In the study of a science of nature mathematics plays an important role. Mechanics is the first science of nature which was expressed in terms of mathematics by considering various mathematical models, associated to phenomena of the...
All phenomena in nature are characterized by motion; this is an essential property of matter, having infinitely many aspects. Motion can be mechani...
The notion of group is fundamental in our days, not only in mathematics, but also in classical mechanics, electromagnetism, theory of relativity, quantum mechanics, theory of elementary particles, etc. This notion has developed during a century and this development is connected with the names of great mathematicians as E. Galois, A. L. Cauchy, C. F. Gauss, W. R. Hamilton, C. Jordan, S. Lie, E. Cartan, H. Weyl, E. Wigner, and of many others. In mathematics, as in other sciences, the simple and fertile ideas make their way with difficulty and slowly; however, this long history would have been...
The notion of group is fundamental in our days, not only in mathematics, but also in classical mechanics, electromagnetism, theory of relativity, quan...
The present book has its source in the authors wish to create a bridge between mathematics and the technical disciplines that need a good knowledge of a strong mathematical tool. The authors tried to reflect a common experience of the University of Bucharest, Faculty of Mathematics and of the Technical University of Civil Engineering of Bucharest. The necessity of such an interdisciplinary work drove the authors to publish a first book with this aim ( Ecua ?ii diferen ?iale cu aplica ?ii in mecanica construc ?iilor Ordinary differential equations with applications to the mechanics of...
The present book has its source in the authors wish to create a bridge between mathematics and the technical disciplines that need a good knowledge of...
As it was already seen in the first volume of the present book, its guideline is precisely the mathematical model of mechanics. The classical models which we refer to are in fact models based on the Newtonian model of mechanics, on its five principles, i. e.: the inertia, the forces action, the action and reaction, the parallelogram and the initial conditions principle, respectively. Other models, e. g., the model of attraction forces between the particles of a discrete mechanical system, are part of the considered Newtonian model. Kepler s laws brilliantly verify this model in case of...
As it was already seen in the first volume of the present book, its guideline is precisely the mathematical model of mechanics. The classical models w...
All phenomena in nature are characterized by motion; this is an essential property of matter, having infinitely many aspects. Motion can be mechanical, physical, chemical or biological, leading to various sciences of nature, mechanics being one of them. Mechanics deals with the objective laws of mechanical motion of bodies, the simplest form of motion.
In the study of a science of nature mathematics plays an important role. Mechanics is the first science of nature which was expressed in terms of mathematics by considering various mathematical models, associated to phenomena of the...
All phenomena in nature are characterized by motion; this is an essential property of matter, having infinitely many aspects. Motion can be mechani...
Petre P. Teodorescu Nicolae-Doru Stanescu Nicolae Pandrea
A much-needed guide on how to use numerical methods to solve practical engineering problems
Bridging the gap between mathematics and engineering, Numerical Analysis with Applications in Mechanics and Engineering arms readers with powerful tools for solving real-world problems in mechanics, physics, and civil and mechanical engineering. Unlike most books on numerical analysis, this outstanding work links theory and application, explains the mathematics in simple engineering terms, and clearly demonstrates how to use numerical methods to obtain solutions and interpret...
A much-needed guide on how to use numerical methods to solve practical engineering problems
Deformable solids have a particularly complex character; mathematical modeling is not always simple and often leads to inextricable difficulties of computation. One of the simplest mathematical models and, at the same time, the most used model, is that of the elastic body - especially the linear one. But, notwithstanding its simplicity, even this model of a real body may lead to great difficulties of computation.
The practical importance of a work about the theory of elasticity, which is also an introduction to the mechanics of deformable solids, consists of the use of scientific methods...
Deformable solids have a particularly complex character; mathematical modeling is not always simple and often leads to inextricable difficulties of...
Covering classical elasticity theory in an encyclopaedic fashion, this work has been written by one of the world's leading authorities in the field and reflects the particularly complex character of deformable solids, where computer modeling is rarely simple.
Covering classical elasticity theory in an encyclopaedic fashion, this work has been written by one of the world's leading authorities in the field an...
