This book primarily focuses on rigorous mathematical formulation and treatment of static problems arising in continuum mechanics of solids at large or small strains, as well as their various evolutionary variants, including thermodynamics.
This book offers a user friendly, hands-on, and systematic introduction to applied and computational harmonic analysis: to Fourier analysis, signal processing and wavelets; and to their interplay and applications.
This thesis is a tour-de-force combination of analytic and computational results clarifying and resolving important questions about the nature of quantum phase transitions in one- and two-dimensional magnetic systems.
Based on the workshop of the same name, this proceedings volume presents selected research investigating the mathematics of collective phenomena emerging from quantum theory at observable scales.
This volume of lecture notes briefly introduces the basic concepts needed in any computational physics course: software and hardware, programming skills, linear algebra, and differential calculus.
Based on the third International Conference on Symmetries, Differential Equations and Applications (SDEA-III), this proceedings volume highlights recent important advances and trends in the applications of Lie groups, including a broad area of topics in interdisciplinary studies, ranging from mathematical physics to financial mathematics.
This book introduces new developments in the field of Time-Reversal Symmetry presenting, for the first time, the Wigner time-reversal operator in the form of a product of two- or three time-reversal operators of lower symmetry.
In this book, the equilibrium and nonequilibrium properties of continuous phase transitions are studied in various systems, with a special emphasis on understanding how well-established universal traits at equilibrium may be extended into the dynamic realm, going beyond the paradigmatic Kibble-Zurek mechanism of defect formation.
This volume, which brings together research presented at the IUTAM Symposium Intelligent Multibody Systems - Dynamics, Control, Simulation, held at Sozopol, Bulgaria, September 11-15, 2017, focuses on preliminary virtual simulation of the dynamics of motion, and analysis of loading of the devices and of their behaviour caused by the working conditions and natural phenomena.
This book addresses problems in three main developments in modern condensed matter physics- namely topological superconductivity, many-body localization and strongly interacting condensates/superfluids-by employing fruitful analogies from classical mechanics.
This book explores the Lipschitz spinorial groups (versor, pinor, spinor and rotor groups) of a real non-degenerate orthogonal geometry (or orthogonal geometry, for short) and how they relate to the group of isometries of that geometry.
This book explains the modelling and simulation of thermal power plants, and introduces readers to the equations needed to model a wide range of industrial energy processes.
Back Cover Text:This book addresses the study of the gaseous state of granular matter in the conditions of rapid flow caused by a violent and sustained excitation.
This book explores mathematics in a wide variety of applications, ranging from problems in electronics, energy and the environment, to mechanics and mechatronics.
This book offers a comprehensive treatment of nonlocal elasticity theory as applied to the prediction of the mechanical characteristics of various types of biological and non-biological nanoscopic structures with different morphologies and functional behaviour.
Designed to sit alongside more conventional established condensed matter physics textbooks, this compact volume offers a concise presentation of the principles of solid state theory, ideal for advanced students and researchers requiring an overview or a quick refresher on a specific topic.
Intended for a one- or two-semester course, this text applies basic, one-variable calculus to analyze the motion both of planets in their orbits as well as interplanetary spacecraft in their trajectories.
The Mathematics of Thermal Modeling, Second Edition, provides an introduction to the basics of the mathematics and physics needed to understand and use the physical principles employed in constructing models of a number of aspects of thermal modeling in industrial processes, notably laser welding; most of the techniques are applicable to many other technological processes, however.
Quantum computing is not merely an incremental advancement in computing technology; it represents a fundamentally new paradigm, distinct from classical computing.
The 2nd edition of this textbook features more than 100 pages of new material, including four new chapters, as well as an improved discussion of differential geometry concepts and their applications.
A central area of study in Differential Geometry is the examination of the relationship between the purely algebraic properties of the Riemann curvature tensor and the underlying geometric properties of the manifold.
First published in 1987, this text offers concise but clear explanations and derivations to give readers a confident grasp of the chain of argument that leads from Newton's laws through Lagrange's equations and Hamilton's principle, to Hamilton's equations and canonical transformations.
For junior/senior and graduate-level courses in Aerodynamics, Mechanical Engineering, and Aerospace Engineering Revised to reflect the technological advances and modern application in Aerodynamics, the 6th Edition of Aerodynamics for Engineers merges fundamental fluid mechanics, experimental techniques, and computational fluid dynamics techniques to build a solid foundation for students in aerodynamic applications from low-speed through hypersonic flight.
For scientists, students, and curious laypersons, this compilation, Proofs and Logical Arguments Supporting the Foundational Laws of Physics: A Handy Guide for Students and Scientists examines the most important laws and relationships taught in science courses, attaching a short and accessible proof or logical argument for each assertion.
From the award-winning, bestselling German science author Stefan Klein An original way into the most thought-provoking scientific theories and ideas, On The Edge of Infinity is the perfect read for those curious about the workings of the universe.
This edited volume from mathematical modelling experts employs a structured approach to showcase the latest research and provide a comprehensive guide to the principles, techniques and practical applications of mathematical modelling in the fields of engineering and the physical sciences.
