Mathematical physics

Just as the circle number p or the Euler constant e determines mathematics, fundamental constants of nature define the scales of the natural sciences.

This book focuses on a critical discussion of the status and prospects of current approaches in quantum mechanics and quantum field theory, in particular concerning gravity.

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Sie studieren ein technisches Fach und müssen sich mit Ingenieurmathematik auseinandersetzen?

This book gives the definitive mathematical answer to what thermodynamics really is: a variational calculus applied to probability distributions.

After many years of teaching graduate courses in applied mathematics, Youssef N.

In this book, computational optical phase imaging techniques are presented along with Matlab codes that allow the reader to run their own simulations and gain a thorough understanding of the current state-of-the-art.

Fill in any gaps in your knowledge with this overview of key topics in undergraduate mathematics, now with four new chapters.

Problems concerning non-classical elastic solids continue to attract the attention of mathematicians, scientists and engineers.

John Hornstein has written about the author's theorem on nonintegrability of geodesic flows on closed surfaces of genus greater than one: "e;Here is an example of how differential geometry, differential and algebraic topology, and Newton's laws make music together"e; (Amer.

This book serves as an introduction of the off-diagonal Bethe Ansatz method, an analytic theory for the eigenvalue problem of quantum integrable models.

This thesis uses the tools of quantum information science to uncover fascinating new insights about the intersection of quantum theory and relativity.

This volume contains research articles from the field of Nonlinear Differential Equa- tions which result from the "e;Workshop on Nonlinear Analysis and Applications"e; held in Bergamo on July 9 to 13, 200l.

This volume of research papers comprises the proceedings of the first International Conference on Mathematics of Neural Networks and Applications (MANNA), which was held at Lady Margaret Hall, Oxford from July 3rd to 7th, 1995 and attended by 116 people.

The book employs oscillatory dynamical systems to represent the Universe mathematically via constructing classical and quantum theory of damped oscillators.

Scientia Gratiii Scientiae It is now thirteen years since the first book that discusses transfinite graphs and elec- trical networks appeared [50].

This graduate-level text provides an application oriented introduction to the numerical methods for elliptic and parabolic partial differential equations.

This book is an exposition of the algebra and calculus of differentialforms, of the Clifford and Spin-Clifford bundle formalisms, and of vistas to aformulation of important concepts of differential geometry indispensable for anin-depth understanding of space-time physics.

Die Vektoranalysis handelt, in klassischer Darstellung, von Vektorfeldern, den Operatoren Gradient, Divergenz und Rotation, von Linien-, Flächen- und Volumenintegralen und von den Integralsätzen von Gauß, Stokes und Green.

In 1961 Robinson introduced an entirely new version of the theory of infinitesimals, which he called `Nonstandard analysis'.

This thesis presents the first measurements of jets in relativistic heavy ion collisions as reported by the ATLAS Collaboration.

This thesis makes significant advances in the quantitative understanding of two intrinsically linked yet technically very different phenomena in quantum chromodynamics (QCD).

This Research Note presents several contributions and mathematical studies in fluid mechanics, namely in non-Newtonian and viscoelastic fluids and on the Navier-Stokes equations in unbounded domains.

This book is designed to serve as a textbook for courses offered to undergraduate and postgraduate students enrolled in Mathematics.

The primary goal of the book is to present the ideas and research findings of active researchers from various communities (physicists, economists, mathematicians, financial engineers) working in the field of "e;Econophysics"e;, who have undertaken the task of modelling and analyzing order-driven markets.

The Handbook of Ordinary Differential Equations: Exact Solutions, Methods, and Problems, is an exceptional and complete reference for scientists and engineers as it contains over 7,000 ordinary differential equations with solutions.

Broadband communications is widely recognized as one of the key technologies for building the next generation global network infrastructure to support ever-increasing multimedia applications.

This SpringerBrief explores the motor performance and biomechanics of golf putting, providing methodologies, studies and approaches to this concept.

In this concise primer it is shown that, with simple diagrams, the phenomena of time dilatation, length contraction and Lorentz transformations can be deduced from the fact that in a vacuum one cannot distinguish physically straight and uniform motion from rest, and that the speed of light does not depend on the speed of either the source or the observer.

This volume collects ten surveys on the modeling, simulation, and applications of active particles using methods ranging from mathematical kinetic theory to nonequilibrium statistical mechanics.

In the past decade, a number of different research communities within the computational sciences have studied learning in networks, starting from a number of different points of view.

This book provides a new mathematical theory for the treatment of an ample series of spatial problems of electrodynamics, particle physics, quantum mechanics and elasticity theory.

Aimed at advanced undergraduate and beginning graduate students, this book provides a first taste of the theory of Lie groups as an appetiser for a more substantial further course.

Since its inception by Hromadka and Guymon in 1983, the Complex Variable Boundary Element Method or CVBEM has been the subject of several theoretical adventures as well as numerous exciting applications.

Based on courses taught at the University of Dublin, Carnegie Mellon University, and mostly at Simon Fraser University, this book presents the special theory of relativity from a mathematical point of view.

This monograph covers the concept of cartesian tensors with the needs and interests of physicists, chemists and other physical scientists in mind.

This book presents the fundamentals of modern tensor calculus for students in engineering and applied physics, emphasizing those aspects that are crucial for applying tensor calculus safely in Euclidian space and for grasping the very essence of the smooth manifold concept.

This book introduces the vast subject of supersymmetry along with many specific examples of engineering applications, for example: The design of quantum unitary gates using supersymmetric actions Bosonic and Fermionic noise in quantum systems using the Hudson-Parthasarathy quantum stochastic calculus Superstring theory applied to the quantum mechanics of neurons and supersymmetric quantum filtering theory which can, for example, be used to filter out the noise in a cavity resonator electromagnetic field produced by the presence electrons and positrons in a bath surrounding it Simplified versions of super-Yang-Mills theory with gauge and gaugino fields, both transforming under the adjoint representation of the gauge group and elementary super-gravity models have also been introduced All through the book, emphasis is laid upon exploiting the supersymmetry existing in the nature of Boson-Fermion exchange in designing engineering systems like quantum computers and analyzing the performance of systems in the presence of supersymmetric quantum noise.

There is an explosion of interest in dynamical systems in the mathematical community as well as in many areas of science.

Problems concerning non-classical elastic solids continue to attract the attention of mathematicians, scientists and engineers.

This book provides a thorough introduction to the mathematical and algorithmic aspects of certified reduced basis methods for parametrized partial differential equations.

The book is focused on physical interpretation and visualization of the obtained invariant solutions for nonlinear mathematical modeling of atmospheric and ocean waves.

In diesem Buch, erstmals 1924 bzw.

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.

A comprehensive introduction to and survey of the state of the art, suitable for graduate students and researchers alike.

The volume collects papers from talks given at QMath11 - Mathematical Results in Quantum Physics, which was held in Hradec Kralove, September 2010.

This book is a tribute to the life and work of J Q Chen.