An introduction to symmetry analysis for graduate students in science, engineering and applied mathematics.

An introduction to symmetry analysis for graduate students in science, engineering and applied mathematics.

The first book to explicitly use Mathematica so as to allow researchers and students to more easily compute and solve almost any kind of differential equation using Lie's theory. Previously time-consuming and cumbersome calculations are now much more easily and quickly performed using the Mathematica computer algebra software. The material in this book, and on the accompanying CD-ROM, will be of interest to a broad group of scientists, mathematicians and engineers involved in dealing with symmetry analysis of differential equations. Each section of the book starts with a theoretical discussion of the material, then shows the application in connection with Mathematica. The cross-platform CD-ROM contains Mathematica (version 3.0) notebooks which allow users to directly interact with the code presented within the book. In addition, the author's proprietary "MathLie" software is included, so users can readily learn to use this powerful tool in regard to performing algebraic computations.

This book constitutes the refereed proceedings of the 4th International Conference on Digital Economy, ICDEc 2019, held in Beirut, Lebanon, in April 2019. The conference was founded in 2016 to discuss innovative research and projects related to the support role of Information System Technologies in the digital transformation process, business innovation and e-commerce. The 31 papers presented in this volume were carefully reviewed and selected from 89 submissions. The theme of ICDEc 2019 was “Digital Economy: Emerging Technologies and Business Innovation”. The papers were organized in topical sections named: digital transformation; e-finance; social media communication; intelligent systems; e-commerce and business analytics; e-learning and cloud education; e-commerce and digital economy; data science; digital marketing; and digital business model.

This extended and revised second edition elaborates on techniques for the numerical analysis of beams, long strips, circular plates, and circular-cylindrical tanks resting on elastic foundations and on unyielding or elastic supports. Emphasis is placed on the simplicity of analysis, while maintaining the accuracy of results, and a large number of examples are included as illustration. Easy-to-use, fully-revised software is included which runs smoothly under current Windows operating systems. The applicability of the software is extended to analysis of laterally-loaded piles and bending analysis of retaining walls. A bonus suite of complementary software containing programmes for elastic-plastic soil-structure interaction analyses of beams or strips, laterally-loaded piles or sheet-piles, and long retaining walls is also included. This package of numerical techniques and software provides a powerful tool which renders design analysis of structures easy and time-efficient. Practising engineers will find this title invaluable, while postgraduate students and researchers working in soil-structure interaction will also find the book-software package very useful.

This class-room tested book, representing the teaching experience of over two decades by the authors, is designed to cater to the needs of senior undergraduate and first-year postgraduate students of civil engineering for a course in Advanced Structural Analysis/Matrix Methods of Structural Analysis/Computer Methods of Structural Analysis. The book endeavours to fulfil two principal objectives. First, it acquaints students with the matrix methods of structural analysis and their underlying concepts and principles. Second, it demonstrates the development of well-structured computer programs for the analysis of structures by the matrix methods. After a thorough presentation of the mathematical tools and theory required for linear elastic analysis of structural systems, the text focuses on the flexibility and stiffness methods of analysis for computer usage. The direct stiffness method which forms the backbone of most computer programs is also discussed. Besides, the physical behaviour of structures is analyzed throughout with the help of axial thrust, shear force, bending moment and deflected shape diagrams. A large number of worked-out examples are included to amplify the concepts and to illustrate the effect of external loads, including the effect of temperature, lack of fit, and settlement of supports, etc. The CD-ROM contains many illustrative computer programs and the usage of modern packages such as Excel and Matlab. The book will also be a useful reference for practising structural engineers who wish to pursue the versatility of matrix methods as a tool for computer applications.

Student text: An Introduction to Physics -- Measurement -- The Language of Physics -- Kinematics: Speed & Velocity -- Speed -- Velocity -- Relative Motion -- Kinematics: Acceleration -- The Concept of Acceleration -- Uniformly Accelerated Motion -- Free-Fall -- Newton's Three Laws -- The Three Laws -- Dynamics & Statics -- Centripetal Force & Gravity -- Centripetal Force -- Gravity -- The Cosmic Force -- Energy -- The Transfer of Energy -- Mechanical Energy -- Conservation of Mechanical Energy -- Momentum & Collisions -- Linear Momentum -- Rotational Motion -- The Kinematics of Rotation -- Rotational Equilibrium -- The Dynamics of Rotation -- Solids, Liquids, & Gases -- Atoms & Matter -- Fluid Statics -- Fluid Dynamics -- Elasticity & Oscillations -- Elasticity -- Harmonic Motion -- Waves & Sound -- Mechanical Waves -- Sound -- Thermal Properties of Matter -- Temperature -- Thermal Expansion -- The Gas Laws -- Heat & Thermal Energy -- Thermal Energy -- Change of State -- The Transfer of Thermal Energy -- Thermodynamics -- The First Law of Thermodynamics -- Cyclic Processes: Engines & Refrigerators -- The Second Law of Thermodynamics -- Electrostatics: Forces -- Electromagnetic Charge -- The Electric Force -- The Electric Field -- Electrostatics: Energy -- Electric Potential -- Capacitance -- Direct Current -- Flowing Electricity -- Resistance -- Circuits -- Circuit Principles -- Network Analysis (Optional) -- Magnetism -- Magnets & the Magnetic Field -- Electrodynamics -- Magnetic Force -- Electromagnetic Induction -- Electromagnetically Induced emf -- Generators -- Self-Induction -- AC & Electronics -- Alternating Current -- R-L-C AC Networks (Optional) -- Electronics (Optional) -- Radiant Energy: Light -- The Nature of Light -- The Electromagnetic-Photon Spectrum -- The Propagation of Light: Scattering -- Scattering -- Reflection -- Refraction -- The World of Color -- Geometrical Optics & Instruments -- Lenses -- Mirrors -- Physical Optics -- Polarization -- Interference -- Diffraction -- Special Relativity -- Before the Special Theory -- The Special Theory of Relativity -- Relativistic Dynamics -- The Origins of Modern Physics -- Subatomic Particles -- The Nuclear Atom -- The Evolution of Quantum Theory -- The Old Quantum Theory -- Atomic Theory -- Quantum Mechanics -- The Conceptual Basis of Quantum Mechanics -- Quantum Physics -- Nuclear Physics -- Nuclear Structure -- Nuclear Transformation -- High-Energy Physics -- Elementary Particles -- Quantum Field Theory -- A Brief Mathematical Review -- Algebra -- Geometry -- Trigonometry -- Vectors -- Dimensions.

For nearly 30 years, Dr. Meir Kryger’s must-have guide to sleep medicine has been the gold standard in this fast-changing field. This essential, full-color reference includes more than 20 unique sections and over 170 chapters covering every aspect of sleep disorders, giving you the authoritative guidance you need to offer your patients the best possible care. Evidence-based content helps you make the most well-informed clinical decisions. An ideal resource for preparing for the sleep medicine fellowship examination. New content on sleep apnea, neurological disorders, legal aspects of sleep medicine, dental sleep medicine genetics, circadian disorders, geriatrics, women’s health, cardiovascular diseases, and occupational sleep medicine, keeps you fully up to date. Updates to scientific discoveries and clinical approaches ensure that you remain current with new knowledge that is advancing the diagnosis and management of sleep disorders.