Mathematical physics

This book contains mathematical preliminaries in which basic definitions of fractional derivatives and spaces are presented.

This book contains mathematical preliminaries in which basic definitions of fractional derivatives and spaces are presented.

Bringing together 18 chapters written by leading experts in dynamical systems, operator theory, partial differential equations, and solid and fluid mechanics, this book presents state-of-the-art approaches to a wide spectrum of new and challenging stability problems.

Bringing together 18 chapters written by leading experts in dynamical systems, operator theory, partial differential equations, and solid and fluid mechanics, this book presents state-of-the-art approaches to a wide spectrum of new and challenging stability problems.

Gives readers a more thorough understanding of DEM and equips researchers for independent work and an ability to judge methods related to simulation of polygonal particles Introduces DEM from the fundamental concepts (theoretical mechanics and solidstate physics), with 2D and 3D simulation methods for polygonal particles Provides the fundamentals of coding discrete element method (DEM) requiring little advance knowledge of granular matter or numerical simulation Highlights the numerical tricks and pitfalls that are usually only realized after years of experience, with relevant simple experiments as applications Presents a logical approach starting withthe mechanical and physical bases,followed by a description of the techniques and finally their applications Written by a key author presenting ideas on how to model the dynamics of angular particles using polygons and polyhedral Accompanying website includes MATLAB-Programs providing the simulation code for two-dimensional polygons Recommended for researchers and graduate students who deal with particle models in areas such as fluid dynamics, multi-body engineering, finite-element methods, the geosciences, and multi-scale physics.

Gives readers a more thorough understanding of DEM and equips researchers for independent work and an ability to judge methods related to simulation of polygonal particles Introduces DEM from the fundamental concepts (theoretical mechanics and solidstate physics), with 2D and 3D simulation methods for polygonal particles Provides the fundamentals of coding discrete element method (DEM) requiring little advance knowledge of granular matter or numerical simulation Highlights the numerical tricks and pitfalls that are usually only realized after years of experience, with relevant simple experiments as applications Presents a logical approach starting withthe mechanical and physical bases,followed by a description of the techniques and finally their applications Written by a key author presenting ideas on how to model the dynamics of angular particles using polygons and polyhedral Accompanying website includes MATLAB-Programs providing the simulation code for two-dimensional polygons Recommended for researchers and graduate students who deal with particle models in areas such as fluid dynamics, multi-body engineering, finite-element methods, the geosciences, and multi-scale physics.

State-of-the-art coverage of modern computational methods for the analysis and design of beams Analysis and Design of Elastic Beams presents computer models and applications related to thin-walled beams such as those used in mechanical and aerospace designs, where thin, lightweight structures with high strength are needed.

Space Groups and Their Representations focuses on the discussions on space groups and their corresponding numerical and analytical representations.

Lectures on the Many-Body Problem is a compilation of papers delivered at the Fifth International School of Physics, held at Ravello, Italy in April 1963.

Methods in Computational Physics, Volume 11: Seismology: Surface Waves and Earth Oscillations is a five-chapter text that deals with the computational analysis of surface waves and the eigenvibrations of the Earth.

Methods of Modern Mathematical Physics, Volume I: Functional Analysis discusses the fundamental principles of functional analysis in modern mathematical physics.

Methods in Computational Physics, Volume 17: General Circulation Models of the Atmosphere is a five-chapter text that covers the fundamentals and application of general circulation models to solving practical problems related to the atmosphere.

Methods in Computational Physics, Volume 15: Vibrational Properties of Solids explores the application of computational methods to delineate microscopic vibrational behavior.

Methods in Computational Physics, Volume 16: Controlled Fusion considers the full variety of computer models needed for the simulation of realistic fusion devices.

Nonlinear Differential Equations and Nonlinear Mechanics provides information pertinent to nonlinear differential equations, nonlinear mechanics, control theory, and other related topics.

Mathematical Methods in Nuclear Reactor Dynamics covers the practical and theoretical aspects of point-reactor kinetics and linear and nonlinear reactor dynamics.

Mathematical Techniques and Physical Applications provides a wide range of basic mathematical concepts and methods, which are relevant to physical theory.

Group Theoretical Methods in Physics: Proceedings of the Fifth International Colloquium provides information pertinent to the fundamental aspects of group theoretical methods in physics.

Thermodynamics and Statistical Mechanics deals with the method of thermodynamic potentials, the four Gibbsian potentials, and Boltzmann's statistics.

Dynamical Systems and Microphysics: Geometry and Mechanics contains the proceedings of the Second International Seminar on Mathematical Theory of Dynamical Systems and Microphysics held at the International Center for Mechanical Sciences in Udine, Italy on September 1-11, 1981.

An incomparable collection of stimulating math puzzles from bestselling author Paul NahinWhat does quilting have to do with electric circuit theory?

NATIONAL BESTSELLER At the end of World War II, a band of aces gathered in the Mojave Desert on a Top Secret quest to break the sound barriernicknamed "e;The Demon"e; by pilots.

The bestselling author of Fermat's Last Theorem and The Code Book tells the story of the brilliant minds that deciphered the mysteries of the Big Bang.

'Deeply researched and profoundly absorbing .

Everything is connected.

A FINANCIAL TIMES AND TLS BOOK OF THE YEARAn exhilarating new biography of John von Neumann: the lost genius who invented our world'A sparkling book, with an intoxicating mix of pen-portraits and grand historical narrative.

'For anyone who is determined to learn physics for real, looking beyond conventional popularizations, this is the ideal place to start.

Fun puzzles that use physics to explore the wonders of everyday lifePhysics can explain many of the things that we commonly encounter.

Exploring Monte Carlo Methods is a basic text that describes the numerical methods that have come to be known as "e;Monte Carlo.

Fluctuating parameters appear in a variety of physical systems and phenomena.

Exploring Monte Carlo Methods is a basic text that describes the numerical methods that have come to be known as "e;Monte Carlo.

This book reminds students in junior, senior and graduate level courses in physics, chemistry and engineering of the math they may have forgotten (or learned imperfectly) which is needed to succeed in science courses.

This book deals with the impact of uncertainty in input data on the outputs of mathematical models.

The field of phase transitions and critical phenomena continues to be active in research, producing a steady stream of interesting and fruitful results.

The Handbook of Mathematical Fluid Dynamics is a compendium of essays that provides a survey of the major topics in the subject.

Twelve problems have been added to the first edition; four of them are supplements to problems in the first edition.

The series bridges the gap between academic researchers and R&D designers by addressing and solving daily issues, which makes it essential reading.

The proceedings of the 2005 les Houches summer school on Mathematical Statistical Physics give and broad and clear overview on this fast developing area of interest to both physicists and mathematicians.

Traditionally, randomness and determinism have been viewed as being diametrically opposed, based on the idea that causality and determinism is complicated by "e;noise.

This new adaptation of Arfken and Weber's bestselling Mathematical Methods for Physicists, Fifth Edition, is the most comprehensive, modern, and accessible reference for using mathematics to solve physics problems.

The Handbook of Modal Logic contains 20 articles, which collectively introduce contemporary modal logic, survey current research, and indicate the way in which the field is developing.

Ultrashort Laser Pulse Phenomena, Second Edition serves as an introduction to the phenomena of ultra short laser pulses and describes how this technology can be used to examine problems in areas such as electromagnetism, optics, and quantum mechanics.

A breathtakingly illustrated look at botanical spirals and the scientists who puzzled over themCharles Darwin was driven to distraction by plant spirals, growing so exasperated that he once begged a friend to explain the mystery ';if you wish to save me from a miserable death.

Advances in Imaging and Electron Physics merges two long-running serials-Advances in Electronics and Electron Physics and Advances in Optical and Electron Microscopy.