Free Download Introduction to Quantum Mechanics: With a Focus on Physics and Operator Theory (Synthesis Lectures on Engineering, Science, and Technology) by Horst R. Beyer
English | April 5, 2024 | ISBN: 3031490770 | 227 pages | MOBI | 45 Mb
This book presents an introduction to quantum mechanics that consistently uses the methods of operator theory, allowing readers to develop a physical understanding of quantum mechanical systems. The methods of operator theory are discussed throughout the book and presented with a mathematically rigorous approach. The author describes in detail how to use the methods of operator theory for analyzing quantum mechanical systems, starting with the definition of the involved physical operators (observables) up to the calculation of their spectra, spectral measures, and functional calculus. In addition, the book includes the construction of exponential functions of the involved Hamilton operators that solve the problem of time evolution.

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Free Download Science Meets Joystick: The Mind and Mechanics of Esports by Blake Everton
English | August 3, 2024 | ISBN: N/A | ASIN: B0DC5S7XD6 | 52 pages | EPUB | 10 Mb
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Free Download M. Abbie, "Rock Mechanics: New Research"
English | ISBN: 1606924591 | 2009 | 324 pages | PDF | 25 MB
Rock mechanics is the theoretical and applied science of the mechanical behaviour of rock and rock masses. This book examines the hydraulic characterisation of fractured rocks, with specific reference to the fluid flow in single fractures, the interpretation of hydraulic tests, the geometrical characterisation and modelling of fracture networks.

Free Download Andrus Koppel, "Continuum Mechanics"
English | ISBN: 1607415852 | 2009 | 333 pages | PDF | 23 MB
Continuum mechanics is a branch of mechanics that deals with the analysis of the kinematics and mechanical behaviour of materials modelled as a continuum (eg: solids and fluids, liquids and gases). A continuum concept assumes that the substance of the body is distributed throughout – and completely fills – the space it occupies. Differential equations can be employed in solving problems in continuum mechanics. Some of these differential equations are specific to the materials being investigated and are called constitutive equations, while others capture fundamental physical laws, such as the conservation of mass (the continuity equation), the conservation of momentum (the equations of motion and equilibrium), and the conservation of energy (the first law of thermodynamics). This book gathers the latest research from around the globe in this field.

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English | ISBN: 160876057X | 2010 | 592 pages | PDF | 53 MB
Computational mechanics is the discipline concerned with the use of computational methods to study phenomena governed by the principles of mechanics. Before the emergence of computational science (also called scientific computing) as a "third way" besides theoretical and experimental sciences, computational mechanics was widely considered to be a sub-discipline of applied mechanics. It is now considered to be a sub-discipline within computational science. Computational mechanics (CM) is interdisciplinary. Its three pillars are mathematics, computer science, and mechanics. Computational fluid dynamics, computational thermodynamics, computational electromagnetics, computational solid mechanics are some of the many specialisations within CM. Some examples where computational mechanics have been put to practical use are vehicle crash simulation, petroleum reservoir modelling, biomechanics, glass manufacturing, and semiconductor modelling. In the last century, especially in the second half thereof, computational mechanics has had profound influences on science and technology. Complex systems that would be very difficult or impossible to treat using analytical methods have been successfully simulated using the tools provided by computational mechanics. With the incorporation of quantum, molecular and biological mechanics into new models, CM is poised to play an even bigger role in the future. This new and important book gathers the latest research from around the globe in this dynamic field.

Free Download Er. R.K. Dhawan, "Applied Mechanics"
English | 2011 | ISBN: 812193592X | PDF | pages: 240 | 30.4 mb
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Free Download Numerical Methods for Strong Nonlinearities in Mechanics: Contact and Fracture
English | 2024 | ISBN: 1789450810 | 374 Pages | PDF | 93 MB
Numerical Methods for Strong Nonlinearities in Mechanics deals with recent advances in the numerical treatment of contact/friction and damage phenomena. Although physically distinct, these phenomena both lead to a strong nonlinearity in the mechanical problem, therefore limiting the regularity of the problem, which is now non-differentiable.

Free Download Nonlinear Mechanics, Groups and Symmetry By Yu. A. Mitropolsky, A. K. Lopatin (auth.)
1995 | 382 Pages | ISBN: 9048145171 | PDF | 15 MB
This unique monograph deals with the development of asymptotic methods of perturbation theory, making wide use of group- theoretical techniques. Various assumptions about specific group properties are investigated, and are shown to lead to modifications of existing methods, such as the Bogoliubov averaging method and the Poincaré–Birkhoff normal form, as well as to the formulation of new ones. The development of normalization techniques of Lie groups is also treated. The wealth of examples demonstrates how these new group theoretical techniques can be applied to analyze specific problems. This book will be of interest to researchers and graduate students in the field of pure and applied mathematics, mechanics, physics, engineering, and biosciences.

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1996 | 398 Pages | ISBN: 9048145139 | PDF | 14 MB
In Mechanics of Poroelastic Media the classical theory of poroelasticity developed by Biot is developed and extended to the study of problems in geomechanics, biomechanics, environmental mechanics and materials science. The contributions are grouped into sections covering constitutive modelling, analytical aspects, numerical modelling, and applications to problems. The applications of the classical theory of poroelasticity to a wider class of problems will be of particular interest. The text is a standard reference for researchers interested in developing mathematical models of poroelasticity in geoenvironmental mechanics, and in the application of advanced theories of poroelastic biomaterials to the mechanics of biomaterials.